5 results about "Exponential stability" patented technology

This invention discloses an asynchronous, non-fragile H∞ control method and system for a rotating inverted pendulum, belonging to the field of robust control technology for DC motor rotating inverted pendulums. Addressing the problems of modal asynchrony, controller gain perturbation, time-varying delay, and quantization error in DC motor rotating inverted pendulum systems, this invention proposes an asynchronous, non-fragile H∞ control framework. The main steps include: constructing a Markov jump singular perturbation system model with time-varying delay and variable quantization density; designing an asynchronous, non-fragile output feedback controller for the rotating inverted pendulum, compatible with controller gain perturbation and quantization uncertainty; and deriving the linear matrix inequality conditions through modal-dependent Lyapunov functions to ensure the system's exponential stability in finite time and to meet the preset H∞ performance index. This invention can effectively improve the robustness and stability of DC motor rotating inverted pendulums under attack and parameter perturbation scenarios.

The present invention provides a modelling and H∞ control method for two-phase annular flow in an oil and gas transport system. The method includes: establishing a model of two-phase annular flow based on the two-dimensional Kuramoto-Sivashinsky equation; projecting the system onto the eigenspace of the two-dimensional Sturm-Liouville operator using modal decomposition; establishing the closed-loop system and deriving the sufficient condition for internal exponential stability and the satisfaction of given performance criteria using the direct Lyapunov method, thereby solving the H∞ control problem for the Kuramoto-Sivashinsky system. The advantages of this invention include: simpler implementation for practical engineering, less implementation devices, and effective suppression and robustness against external disturbances.

The application belongs to the field of unmanned system cluster control and autonomous cooperation, and particularly relates to an unmanned system cluster acceleration synchronization method for multi-channel network interruption. A kind of unmanned aerial vehicle cluster system is modeled as a linear system model, and a multi-channel communication topology network and a distributed elastic controller of the unmanned aerial vehicle cluster system are constructed for the model. A Lyapunov function depending on the network interruption mode is constructed, and the exponential stability and gain conditions of the synchronization error system under different network interruption modes are established to cope with the synchronization error. The synchronization rate is characterized as an optimization problem characterized by single-channel attenuation rate and network interruption duration constraints. Then, an iterative optimization algorithm is designed to solve the controller gain under different network interruption modes to achieve accelerated synchronization. Finally, the proposed method is simulated and verified, and the results show that the method can effectively solve the problem of accelerated synchronization of unmanned system cluster under multi-channel network interruption.

The application discloses a kind of distributed leakage estimation method of urban drainage pipe network based on sensor network.The method constructs the topological structure of sensor network and the state space model of urban drainage pipe network, describes the nonlinear random variation in drainage pipe network by using Bernoulli random sequence, describes the measurement attenuation phenomenon randomly occurred when sensor measures by using Rice attenuation model, and adopts Round-Robin communication protocol for data transmission scheduling;Then design distributed state estimator, then establish error augmented system, obtain the sufficient condition of mean square exponential stability and H ∞ performance;Finally, the gain matrix of distributed estimator is obtained by convex optimization method.It provides a real-time and effective method for accurate remote estimation and monitoring of urban drainage pipe network.

This invention discloses a nonlinear multi-agent exponential consistency sliding mode control method, relating to the field of multi-agent system cooperative control technology, including: S1, constructing a nonlinear multi-agent system model, defining tracking error and exponential consistency of moment order; S2, constructing an integral sliding surface and deriving the equivalent control law; S3, constructing a Lyapunov-Krasovsky functional, analyzing the exponential stability of the p-th moment order, and designing a finite-time reachable sliding mode controller; S4, initializing parameters, acquiring the state of the nonlinear multi-agent system model in real time and calculating the tracking error, calculating the control input and applying the result to the nonlinear multi-agent model to complete rolling optimization control; the nonlinear multi-agent exponential consistency sliding mode control method provided by this invention solves the exponential consistency control problem of multi-agent systems under complex disturbances, time-varying time delays, and topology jumps, improving the robustness and convergence performance of the system.