Finite-time Robust Control For Stochastic Systems

Robust control has always been one of the hot topics in the research of control problems.Robust control methods are mainly applied to systems with high stability and reliability requirements,and robustness refers to the minimum performance that must be satisfied in the actual environments when the control system runs safely.In modern control theory, H₂/H_? control is one of the most widely studied problems.For example,the control of aircraft and rotorcraft is H₂/H_? control problem.On the other hand,stability is a precondition for the normal operation of the control system.But in some practical systems,such as aerospace system and industrial rolling reheating furnace system,not only the stability but also the state trajectory of the control system in finite-time domain should be considered.In this paper,the problem of finite-time robust control for linear stochastic systems is studied by combining H₂/H_? control with finite-time control.?1?The problem of finite-time H₂/H_? control for linear stochastic systems is studied,and the sufficient conditions for the existence of state feedback controllers are given,so that the closed-loop system can satisfy finite-time bounded-ness,H₂performance index and H_?performance index.Finally,the corresponding indicators are obtained by given algorithm.?2?The problem of finite-time H₂/H_? control for linear stochastic systems with?x,u,v?dependent noise is studied.On the basis of the previous chapter,an observer-based finite-time H₂/H_? control problem is further proposed.Finally,the optimalH₂performance index and H_?performance index are obtained through the corresponding parameter optimization algorithm.?3?The problem of finite-time H₂/H_? control for linear It?stochastic systems with Wiener and Poisson noises perturbations is studied.The state feedback and observer-based finite-time H₂/H_? controllers are designed for linear stochastic systems under the interaction of Wiener noise and Poisson noise.The corresponding algorithms are given to obtain the optimalH₂performance index and H_?performance index.?4?The problem of finite-time H₂/H_? control for linear It?stochastic Markov jump systems driven by Wiener and Poisson noises is studied.By means of mode dependent parameter method,state feedback controller and observer-based controller are designed respectively,and sufficient conditions for less conservativeness are obtained to make the system stable and to meet the H₂/H_? index.By comparing the mode dependent parameter method with the common parameter method,betterH₂performance index and H_?performance index can be obtained through the new algorithm.