Monitoring internet-of-things control platform based on chemical production system
By employing technologies such as distributed sensor arrays and fractional-order PID controllers, the problems of data acquisition and processing, control algorithm adaptability, and equipment health management in chemical production systems have been solved, achieving high-precision dynamic control and long-cycle stability, thereby improving the efficiency and safety of chemical production.
Patent Information
- Application Number
- CN202511317211.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-09-16
- Publication Date
- 2025-11-21
AI Technical Summary
Chemical production systems suffer from limitations in traditional data acquisition and processing technologies, insufficient adaptability and stability of control algorithms, contradictions between multi-objective optimization dimensions and efficiency, dilemmas in balancing communication resources and reliability, and a lack of equipment health management and prediction capabilities. These issues prevent intelligent manufacturing in the chemical industry from achieving high-precision perception, low-latency decision-making, adaptive control, and full-cycle maintenance.
By employing a distributed sensor array, a fractional-order PID controller, an improved NSGA-II algorithm, a tensor decomposition algorithm, an adaptive time-varying communication protocol, and a fault prediction model, combined with Mahalanobis distance anomaly detection and Lyapunov stability criteria, multi-source data synchronization, real-time control, and optimization decision-making are achieved.
It achieves high-precision dynamic control, multi-source data fusion and anti-interference capabilities, multi-objective collaborative optimization, real-time anomaly detection and long-term stability assurance, significantly improving the efficiency and safety of chemical production and reducing energy consumption and maintenance costs.
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Figure CN120993865A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to a monitoring IoT control platform, specifically a monitoring IoT control platform based on a chemical production system. Background Technology
[0002] Chemical production systems are characterized by strong nonlinearity, multivariable coupling, and high risk. Their monitoring and control technologies face the following core challenges:
[0003] 1. Limitations of Traditional Data Acquisition and Processing Technologies: Existing sensor networks mostly employ a centralized architecture, which is difficult to adapt to the multi-zone monitoring needs of large reactors. Data synchronization errors (typically >5%) lead to inaccurate verification of mass conservation (such as the density field reconstruction deviation mentioned in patent CN1123456A), and noise interference (mechanical vibration, electromagnetic interference) reduces the signal-to-noise ratio of key parameters (such as free radical concentration) to below 20dB, severely affecting the reliability of anomaly detection. In addition, the transmission bandwidth requirements of high-dimensional data (time-series data of multiple parameters such as temperature, pressure, and flow rate) often exceed 200Mbps, which is difficult for existing edge computing nodes to achieve in real-time compression (Reference J. Process Control, 2021, 89:76-85).
[0004] 2. Insufficient adaptability and stability of control algorithms: The time-varying characteristics of chemical reaction processes (such as the exothermic abrupt changes in polymerization reactions) render traditional integer-order PID controllers (such as patented...) ineffective.
[0005] US2018009512A1) exhibits overshoot (>15%) and oscillations during setpoint tracking, requiring frequent manual intervention. The literature IEEE Trans. Ind. Electron. (2022, 69(3): 2876-2885) points out that the settling time of traditional PID in nonlinear systems is extended by 40%-60%, and it lacks the ability to model fractional-order dynamics (such as the non-integer-order differential characteristics of diffusion processes).
[0006] 3. The Conflict Between Dimensionality and Efficiency in Multi-Objective Optimization: Existing optimization methods (such as single-objective model predictive control) struggle to balance conflicting objectives of energy consumption, yield, and safety. For example, an ethylene cracking unit needs to maximize ethylene yield under temperature fluctuation (±5℃) constraints, but the traditional weight allocation method (patent CN114567892A) can only achieve local optima, and the calculation time exceeds 10 minutes (data volume on the order of 10^4 variables), failing to meet real-time decision-making requirements. Furthermore, safety risk models often rely on empirical thresholds (such as fixed pressure alarm values), ignoring dynamic changes in the gradient field (see Chem. Eng. Sci., 2020, 214:115422).
[0007] 4. The Dilemma of Balancing Communication Resources and Reliability In the Industrial Internet of Things (IIoT), fixed bandwidth allocation protocols (such as TDMA) suffer from severe channel fading (bit error rate > 10^-3) in chemical environments, resulting in control command transmission delays as high as 1.2 seconds (see IEEE IoT J., 2023, 10(2): 1567-1582). Meanwhile, existing compression algorithms (such as PCA) retain less than 70% of tensor-type process data, requiring repeated transmission of the original data and exacerbating network congestion.
[0008] 5. Lack of Predictive Capabilities in Equipment Health Management: Mainstream Remaining Life (RUL) prediction models (such as the Wiener process) do not consider the thermo-mechanical coupling degradation mechanism of chemical equipment, and their sensitivity analysis errors for key parameters such as activation energy (E_a) exceed 25% (Reliab. Eng. Syst. Saf., 2022, 219:108245). Furthermore, traditional maintenance strategies rely on scheduled inspections, resulting in unplanned downtime losses accounting for up to 35% (industry survey data).
[0009] Technological evolution bottlenecks, despite attempts to improve existing technologies in the following ways:
[0010] Multi-sensor fusion (patent CN113670512A) is used to improve data accuracy;
[0011] Introducing fuzzy PID (see ISA Trans., 2021, 112: 230-239) improves control robustness;
[0012] Develop lightweight communication protocols (such as MQTT-SN) to reduce transmission load.
[0013] However, the above solutions still have inherent defects such as asynchronous multi-source data, single control dimension, fragmented optimization objectives, and rigid resource allocation, which cannot meet the integrated requirements of intelligent chemical manufacturing for "high-precision perception, low-latency decision-making, adaptive control and full-cycle maintenance". Summary of the Invention
[0014] The technical problem to be solved by the present invention is to overcome the defects of the above-mentioned technologies and provide a monitoring IoT control platform based on chemical production systems.
[0015] To solve the above-mentioned technical problems, the technical solution provided by this invention is a monitoring and IoT control platform based on a chemical production system, comprising:
[0016] A distributed sensor array is used to collect real-time data on temperature T(t), pressure P(t), and substance concentration C within a chemical reactor. i (t), which satisfies the multi-source data synchronization equation:
[0017]
[0018] J k Let ρ be the diffusion flux of the k-th substance. k For local density, q k For source terms;
[0019] Edge computing nodes achieve dynamic parameter compensation through a fractional-order PID controller, with the control law being:
[0020]
[0021] Where α,β∈(0,1) are fractional orders. It is a Caputo fractional differential operator;
[0022] The cloud platform optimization module uses an improved NSGA-II algorithm to solve multi-objective optimization problems.
[0023]
[0024] in f is the decision variable. i The objective function is denoted as .
[0025] As an improvement, the distributed sensor array includes an anti-interference module, whose signal processing model is as follows:
[0026]
[0027] in Let σ represent the Hadamard product, σ be the noise suppression factor, and h(τ) be the sensor's impulse response function.
[0028] As an improvement, the edge computing node uses a tensor decomposition algorithm to compress transmitted data:
[0029]
[0030] That Let λ be the original tensor. r These are the weighting coefficients. It represents the outer product.
[0031] As an improvement, the cloud platform optimization module includes a risk assessment function:
[0032]
[0033] Where S(x) is the safety index, k>0 is the sensitivity coefficient, and S0 is the threshold.
[0034] As an improvement, the system includes an anomaly detection module, whose discrimination criterion is based on Mahalanobis distance:
[0035]
[0036] when An alarm is triggered at a certain time, where μ is the mean vector, Σ is the covariance matrix, and α is the significance level.
[0037] As an improvement, the cloud platform optimization module includes reaction kinetic constraints:
[0038]
[0039] Where k1 and k2 are the parameters of the Arrhenius equation, and α and β are the reaction orders.
[0040] As an improvement, the system adopts an adaptive time-varying communication protocol, and the channel allocation satisfies:
[0041]
[0042] Where h i For channel gain, B i is the bandwidth allocation factor, and N0 is the noise power spectral density.
[0043] As an improvement, the system includes a matter conservation verification module, whose verification equation is:
[0044]
[0045] Where V is the control volume and v is the flow velocity field. Let be the quality flow rate at the k-th inlet / outlet.
[0046] As an improvement, the system adopts the Lyapunov stability criterion:
[0047]
[0048] Used to ensure the global asymptotic stability of the control system.
[0049] As an improvement, the system includes a fault prediction module with a remaining useful life (RUL) prediction model as follows:
[0050]
[0051] Where E a The activation energy is given by R, where R is the gas constant and t is the activation energy. f This is the critical time for failure.
[0052] The advantages of this invention compared to the prior art are:
[0053] High-precision dynamic control: By employing a fractional-order PID controller and Lyapunov stability design, the oscillation problem of traditional integer-order PID controllers in nonlinear chemical processes is solved. Actual measured control accuracy is improved by 52%, and the temperature fluctuation range is reduced from ±5℃ to ±2.1℃, significantly improving reaction efficiency.
[0054] Multi-source data fusion and anti-interference capability: The distributed sensor array combines Gaussian kernel filtering (claim 2, Equation 2) and tensor decomposition compression (claim 3, Equation 4) to reduce the data transmission volume by 96% (original data volume 12.8G / h → compressed to 0.5G / h) while retaining more than 95% of the effective information, and the signal-to-noise ratio is improved to 38dB (original system 22dB).
[0055] Multi-objective collaborative optimization: The improved NSGA-II algorithm (claim 1, Equation 5) combined with the safety risk function (claim 4, Equation 6) achieves the Pareto optimal solution for energy consumption, yield, and safety. In a certain ethylene production case, energy consumption was reduced by 17.3%, product purity increased by 6.8%, and the safety risk value decreased by 89%.
[0056] Real-time anomaly detection and rapid response: Anomaly discrimination based on Mahalanobis distance (claim 5, Equation 8) is linked with the emergency pressure relief mechanism, reducing the average alarm delay from 2.3s in the traditional system to 0.4s, and the false alarm rate is less than 0.1% (statistics based on 100,000 hours of operation data).
[0057] Long-term stability assurance: The combination of the material conservation verification module (claim 8, Equation 10) and the fault prediction model (claim 10, Equation 12) extends the mean time between failures (MTBF) of the equipment from 4,500 hours to 8,200 hours and reduces maintenance costs by 62%.
[0058] Efficient utilization of communication resources: The adaptive time-varying communication protocol (claim 7, equation 9) achieves an effective bandwidth utilization rate of 93.7% under the same total power through dynamic channel allocation.
[0059] (The traditional solution is 71.2%), which meets the requirements for millisecond-level control command transmission.
[0060] Adaptability to complex operating conditions: The fractional-order control parameters (α = 0.5, β = 0.6) work synergistically with the reaction kinetic constraints (claim 6, equation 7) to handle strongly nonlinear, time-varying reaction processes (such as... Attached Figure Description
[0061] Figure 1 This is a schematic diagram of a monitoring IoT control platform based on a chemical production system according to the present invention. Detailed Implementation
[0062] To facilitate understanding of this application, a more complete description will be provided below with reference to the accompanying drawings, which illustrate embodiments of the present application. However, the present application can be implemented in many different forms and is not limited to the embodiments described herein. Rather, these embodiments are provided so that the disclosure of this application will be thorough and complete.
[0063] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the application.
[0064] It is understood that spatial relation terms such as "below," "under," "below," "below," "above," "over," etc., can be used here to describe the relationship between one element or feature shown in the figure and other elements or features. It should be understood that, in addition to the orientation shown in the figure, spatial relation terms also include different orientations of the device in use and operation. For example, if the device in the figure is flipped, the element or feature described as "below" or "under" or "below" of the other element or feature will be oriented "over" the other element or feature. Therefore, the exemplary terms "below" and "under" can include both upper and lower orientations. Furthermore, the device may also include other orientations, such as being rotated 90 degrees or other orientations, and the spatial descriptive terms used herein will be interpreted accordingly.
[0065] It should be noted that when one element is considered to be "connected" to another element, it can be directly connected to the other element or connected to the other element through an intermediary element. In the following embodiments, "connection" should be understood as "electrical connection," "communication connection," etc., if the connected circuits, modules, units, etc., have the transmission of electrical signals or data between them.
[0066] When used herein, the singular forms of “a,” “an,” and “the” may also include the plural forms unless the context clearly indicates otherwise. It should also be understood that the terms “comprising,” “including,” or “having,” etc., specify the presence of the stated feature, whole, step, operation, component, part, or combination thereof, but do not preclude the possibility of the presence or addition of one or more other features, wholes, steps, operations, components, parts, or combinations thereof.
[0067] Referring to the attached diagram, a monitoring and IoT control platform based on a chemical production system includes:
[0068] A distributed sensor array is used to collect real-time data on temperature T(t), pressure P(t), and substance concentration C within a chemical reactor. i(t), which satisfies the multi-source data synchronization equation:
[0069]
[0070] J k Let ρ be the diffusion flux of the k-th substance. k For local density, q k For source terms;
[0071] Edge computing nodes achieve dynamic parameter compensation through a fractional-order PID controller, with the control law being:
[0072]
[0073] Where α,β∈(0,1) are fractional orders. It is a Caputo fractional differential operator;
[0074] The cloud platform optimization module uses an improved NSGA-II algorithm to solve multi-objective optimization problems.
[0075]
[0076] in f is the decision variable. i The objective function is denoted as .
[0077] As an improvement, the distributed sensor array includes an anti-interference module, whose signal processing model is as follows:
[0078]
[0079] in Let σ represent the Hadamard product, σ be the noise suppression factor, and h(τ) be the sensor's impulse response function.
[0080] As an improvement, the edge computing node uses a tensor decomposition algorithm to compress transmitted data:
[0081]
[0082] in Let λ be the original tensor. r These are the weighting coefficients. It represents the outer product.
[0083] As an improvement, the cloud platform optimization module includes a risk assessment function:
[0084]
[0085] Where S(x) is the safety index, k>0 is the sensitivity coefficient, and S0 is the threshold.
[0086] As an improvement, the system includes an anomaly detection module, whose discrimination criterion is based on Mahalanobis distance:
[0087]
[0088] when An alarm is triggered at a certain time, where μ is the mean vector, Σ is the covariance matrix, and α is the significance level.
[0089] As an improvement, the cloud platform optimization module includes reaction kinetic constraints:
[0090]
[0091] Where k1 and k2 are the parameters of the Arrhenius equation, and α and β are the reaction orders.
[0092] As an improvement, the system adopts an adaptive time-varying communication protocol, and the channel allocation satisfies:
[0093]
[0094] Where h i For channel gain, B i is the bandwidth allocation factor, and N0 is the noise power spectral density.
[0095] As an improvement, the system includes a matter conservation verification module, whose verification equation is:
[0096]
[0097] Where V is the control volume and v is the flow velocity field. Let be the quality flow rate at the k-th inlet / outlet.
[0098] As an improvement, the system adopts the Lyapunov stability criterion:
[0099]
[0100] Used to ensure the global asymptotic stability of the control system.
[0101] As an improvement, the system includes a fault prediction module with a remaining useful life (RUL) prediction model as follows:
[0102]
[0103] Where E a The activation energy is given by R, where R is the gas constant and t is the activation energy. f This is the critical time for failure.
[0104] 1. System Architecture Overview:
[0105] This monitoring IoT control platform adopts a three-tier architecture (such as...). Figure 1 As shown):
[0106] Sensing layer: Distributed sensor arrays collect data from chemical reaction vessels in real time;
[0107] Edge layer: Edge computing nodes enable data preprocessing and real-time control;
[0108] Cloud platform layer: The cloud-based optimization engine completes multi-objective decision-making and predictive analysis.
[0109] 2. Implementation details of distributed sensor arrays:
[0110] 2.1 Multi-source data synchronization mechanism:
[0111] The sensor array is deployed in six sections of the reactor to collect temperature T(t), pressure P(t), and substance concentration C. i (t), whose physical field satisfies the conservation law:
[0112]
[0113] in, For Fick's diffusion law, D k q is the diffusion coefficient. k Through the reaction rate equation Calculate, ν kj These are stoichiometric coefficients.
[0114] 2.2 Anti-interference signal processing:
[0115] Sensor data is filtered using a Gaussian kernel function:
[0116]
[0117] Where σ = 0.8 (empirical value), h(τ) is designed using an FIR filter, and the cutoff frequency f c =10Hz, suppressing mechanical vibration noise of the reactor.
[0118] 3. Edge computing node control methods:
[0119] 3.1 Fractional PID Controller:
[0120] The control quantity u(t) is generated by the following equation:
[0121]
[0122] Among them, fractional differential operators Using Caputo definition:
[0123]
[0124] The parameter optimization range is α∈[0.3,0.7],β∈[0.4,0.6], which is determined by Lyapunov stability analysis.
[0125] 3.2 Tensor Data Compression:
[0126] Construct a three-dimensional tensor from sensor time-series data. (Time × Space × Variables), using CP decomposition:
[0127]
[0128] Set the rank R=5, compression ratio Ensure that the transmission bandwidth is below 50Mbps.
[0129] 4. Implementation of cloud platform optimization module:
[0130] 4.1 Multi-objective optimization algorithm:
[0131] Solve using the improved NSGA-II algorithm:
[0132]
[0133] The objective function includes:
[0134] Energy consumption
[0135] Yield
[0136] Security risks
[0137] The constraints include the reaction kinetic equations:
[0138]
[0139] Where k1 = 1.2 × 10 -3 s -1 α = 1.5 (measured value).
[0140] 4.2 Channel resource allocation:
[0141] The communication protocol optimization model is as follows:
[0142]
[0143] The optimal power allocation is obtained by using the Lagrange multiplier method. The dynamic adjustment period is 1ms.
[0144] 5. Verification and Security Module:
[0145] 5.1 Verification of the law of conservation of matter:
[0146] A global verification is performed every 5 minutes.
[0147]
[0148] If the deviation is between the left and right equations | left equation - right equation | Trigger data recalibration.
[0149] 5.2 Anomaly Detection:
[0150] Real-time monitoring based on Mahalanobis distance:
[0151]
[0152] Set α = 0.01, critical value An emergency pressure relief procedure is initiated when the threshold is exceeded.
[0153] 6. Fault prediction and maintenance:
[0154] 6.1 Remaining life prediction:
[0155] The RUL model integrates the Arrhenius equation with the theory of cumulative damage:
[0156]
[0157] Where E a = 85kJ / mol (for reactor material 304 stainless steel), T ref =298K, push maintenance work orders when RUL<24h.
[0158] 6.2 Stability proof:
[0159] The control system satisfies the Lyapunov criterion:
[0160]
[0161] Where P and Q are positive definite matrices, passed through the Riccati equation A T Solve for P + PA = -Q.
[0162] Technical effects:
[0163] Temperature fluctuations were reduced by 42% through fractional-order PID control (Equation 3);
[0164] Tensor compression (Equation 4) reduces data transmission volume by 96%;
[0165] Multi-objective optimization (Equation 5-7) improves energy efficiency ratio by 17% and reduces accident rate by 89%;
[0166] The accuracy of RUL prediction (Equation 12) reached 92.3% (verified by actual test dataset).
[0167] High-precision dynamic control: By employing a fractional-order PID controller and Lyapunov stability design, the oscillation problem of traditional integer-order PID controllers in nonlinear chemical processes is solved. Actual measured control accuracy is improved by 52%, and the temperature fluctuation range is reduced from ±5℃ to ±2.1℃, significantly improving reaction efficiency.
[0168] Multi-source data fusion and anti-interference capability: The distributed sensor array combines Gaussian kernel filtering (claim 2, Equation 2) and tensor decomposition compression (claim 3, Equation 4) to reduce the data transmission volume by 96% (original data volume 12.8G / h → compressed to 0.5G / h) while retaining more than 95% of the effective information, and the signal-to-noise ratio is improved to 38dB (original system 22dB).
[0169] Multi-objective collaborative optimization: The improved NSGA-II algorithm (claim 1, Equation 5) combined with the safety risk function (claim 4, Equation 6) achieves the Pareto optimal solution for energy consumption, yield, and safety. In a certain ethylene production case, energy consumption was reduced by 17.3%, product purity increased by 6.8%, and the safety risk value decreased by 89%.
[0170] Real-time anomaly detection and rapid response: Anomaly discrimination based on Mahalanobis distance (claim 5, Equation 8) is linked with the emergency pressure relief mechanism, reducing the average alarm delay from 2.3s in the traditional system to 0.4s, and the false alarm rate is less than 0.1% (statistics based on 100,000 hours of operation data).
[0171] Long-term stability assurance: The combination of the material conservation verification module (claim 8, Equation 10) and the fault prediction model (claim 10, Equation 12) extends the mean time between failures (MTBF) of the equipment from 4,500 hours to 8,200 hours and reduces maintenance costs by 62%.
[0172] Efficient utilization of communication resources: The adaptive time-varying communication protocol (claim 7, equation 9) achieves an effective bandwidth utilization rate of 93.7% under the same total power through dynamic channel allocation.
[0173] (The traditional solution is 71.2%), which meets the requirements for millisecond-level control command transmission.
[0174] Adaptability to complex operating conditions: The fractional-order control parameters (α = 0.5, β = 0.6) and the reaction kinetic constraints (claim 6, Equation 7) work together to handle strongly nonlinear, time-varying reaction processes (such as sudden heat release when the polymerization conversion rate is >95%), improving the system robustness by 40%.
[0175] Full lifecycle management: The RUL prediction model (Equation 12) has an error rate of <7.5% (verified by actual test dataset), supports preventive maintenance strategies, reduces unplanned downtime losses by up to 92%, and extends equipment life by 3-5 years.
[0176] Comparison of technical advantages:
[0177]
[0178]
[0179] The present invention and its embodiments have been described above. This description is not restrictive, and the accompanying drawings are only one embodiment of the present invention; the actual structure is not limited thereto. In conclusion, if those skilled in the art are inspired by this description and design similar structures and embodiments without departing from the spirit of the invention, such designs should fall within the protection scope of the present invention.
Claims
1. A monitoring and IoT control platform based on a chemical production system, characterized in that: include: A distributed sensor array is used to collect real-time data on temperature T(t), pressure P(t), and substance concentration C within a chemical reactor. i (t), which satisfies the multi-source data synchronization equation: J k Let ρ be the diffusion flux of the k-th substance. k For local density, q k For source terms; Edge computing nodes achieve dynamic parameter compensation through a fractional-order PID controller, with the control law being: Where α,β∈(0,1) are fractional orders. It is a Caputo fractional differential operator; The cloud platform optimization module uses an improved NSGA-II algorithm to solve multi-objective optimization problems. in f is the decision variable. i The objective function is denoted as .
2. The monitoring and IoT control platform based on a chemical production system according to claim 1, characterized in that: The distributed sensor array includes an anti-interference module, and its signal processing model is as follows: in Let σ represent the Hadamard product, σ be the noise suppression factor, and h(τ) be the sensor's impulse response function.
3. The monitoring and IoT control platform based on a chemical production system according to claim 2, characterized in that: The edge computing nodes use a tensor decomposition algorithm to compress and transmit data. in Let λ be the original tensor. r These are the weighting coefficients. It represents the outer product.
4. The monitoring and IoT control platform based on a chemical production system according to claim 3, characterized in that: The cloud platform optimization module includes a risk assessment function: Where S(x) is the safety index, k>0 is the sensitivity coefficient, and S0 is the threshold.
5. The monitoring and IoT control platform based on a chemical production system according to claim 4, characterized in that: The system includes an anomaly detection module, whose discrimination criterion is based on Mahalanobis distance: when An alarm is triggered at a certain time, where μ is the mean vector, Σ is the covariance matrix, and α is the significance level.
6. The monitoring and IoT control platform based on a chemical production system according to claim 5, characterized in that: The cloud platform optimization module includes reaction kinetic constraints: Where k1 and k2 are the parameters of the Arrhenius equation, and α and β are the reaction orders.
7. The monitoring and IoT control platform based on a chemical production system according to claim 6, characterized in that: The system employs an adaptive time-varying communication protocol, and the channel allocation satisfies: Where h i For channel gain, B i is the bandwidth allocation factor, and N0 is the noise power spectral density.
8. The monitoring and IoT control platform based on a chemical production system according to claim 7, characterized in that: The system includes a matter conservation verification module, whose verification equation is: Where V is the control volume and v is the flow velocity field. Let be the quality flow rate at the k-th inlet / outlet.
9. A monitoring and IoT control platform based on a chemical production system according to claim 8, characterized in that: The system employs the Lyapunov stability criterion: Used to ensure the global asymptotic stability of the control system.
10. A monitoring and IoT control platform based on a chemical production system according to claim 9, characterized in that: The system includes a fault prediction module, whose remaining useful life (RUL) prediction model is as follows: Where E a The activation energy is given by R, where R is the gas constant and t is the activation energy. f This is the critical time for failure.
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US20180009512A1
