Anti-Saturation Control Of Several Linear Systems

This paper studies the problems of estimating the attracting domain and the simultaneous fault detection and anti-saturation control for some linear system with saturated actual.The composite homogeneous parameter dependent quadratic Lyapunov function and residual generator with anti-saturation are given.In the first chapter,the research background and research status of the saturation control system are introduced.The research content and innovation of this paper are given.Finally,some related definitions and lemmas are described.In the second chapter,a new type of Lyapunov function where this function is defined as composite homogeneous parameter dependent quadratic Lyapunov function is presented.By using this function,a condition is derived in terms of an auxiliary feedback matrix for determining if a given convex hull is an estimation of region of stability for a system under a saturated linear feedback.In most cases,the shape of region of stability is irregular.So,using simple ellipsoid to estimate the region of stability will bring conservativeness.In the third chapter,the problem of simultaneous fault detection and anti-saturated control for DC motor system is studied.For DC motor systems,the terminal voltage which is denoted as the input of system is obviously limited by the voltage amplitude.This means that the controller of the constructed system model is saturated.Therefore,the designed residual generator not only to complete the fault detection but also to solve the problem of anti-saturation control.In this process,we further suppress the influence of system uncertain parameters and external disturbance signals on residual generator.In summary,some less conservative results are got by studying the problem actuator saturation.Finally,some simulation examples verify the effectiveness of the method.