Time-Varying Control With Disturbance Compensation for Stable Precision
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Solution Overview
Problem
Time-varying systems in industrial control face performance degradation due to changing model parameters, with existing control methods like PID and active disturbance rejection control struggling to maintain stability and precision, especially in high-speed motion control applications.
Innovation Solution
A control method that converts a time-varying system into a time-invariant system by using feedback signals to calculate coefficient variations, amplifying coefficients, and utilizing an extended state observer to estimate and compensate disturbances, effectively stabilizing the system by transforming it into a system with constant parameters.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If PID control algorithm is used for time-varying systems, then control effect can be excellent after parameter adjustment, but control system performance deteriorates when model parameters change
Solution Approach 1:
The patent transforms the time-varying system parameters into time-invariant parameters through mathematical transformation. By introducing a transformation matrix and redefining the system parameters, the originally time-varying parameters are converted into constant parameters, allowing PID control to maintain both precision and stability without requiring continuous parameter adjustment.
2Reliability
If fuzzy, intelligent or robust control methods are used, then control system performance can be improved, but algorithm complexity increases making them difficult to apply in high-speed precision motion control
Solution Approach 1:
The patent replaces complex control algorithms (fuzzy, intelligent, or robust control) with a mathematical transformation approach. By transforming the time-varying system into a time-invariant system through coordinate transformation and parameter redefinition, the solution achieves improved control performance using simple PID control, avoiding the computational complexity of advanced algorithms.
3Object-affected harmful factors
If active disturbance rejection control algorithm is used, then disturbance can be suppressed, but the algorithm is affected by observer bandwidth and control system bandwidth leading to application troubles
Solution Approach 1:
The patent extracts and compensates for the disturbance caused by parameter changes through mathematical transformation. By separating the parameter variation effects from the system dynamics and representing them as equivalent disturbances, the solution suppresses these disturbances through simple feedback control, avoiding the complex bandwidth coordination issues of active disturbance rejection control.
Data Source
AI summary
A control method for converting time-varying system into a time-invariant system, comprises: using (n−1)th to 0th order signals of an nth-order time-varying, system as feedback to set up a closed loop control for the time-varying system; acquiring real-time values of the coefficients in each order of the time-varying system through a sensor, and calculating variations between the real-time values and the initial values of the coefficients in each order through a controller; amplifying and summing the parameters of every order to obtain a measured disturbance; inputting the measured disturbance, a control signal from a controller and an nth-order signal into an extended state observer through to estimate the rest disturbance; summing up the measured and estimated disturbances to obtain total disturbances; and adjusting the above parameters in each order through the controller to convert the time-varying system into the tune-invariant system.