Fault-Tolerant Control And Filtering For Systems With Time-Delay

Time delay is a major factor that it causes system instability,which has become one of the hot spots in the control theory research area in recent years.Neutral system is a class of time-delay system that it exists widely in engineering practice.Such as engine system of aircraft,the ship's stability,transmission line problems,the double dissolving tank in the chemical process and so on.Due to practical engineering systems are not only accompanied with the time delay phenomenon and uncertainly but also with the failure and external disturbance,so in order to ensure the stability of the system,different controllers and filters need to be designed.Control problem for the time-delay systems and the neutral systems research,both at home and abroad it focuses on single-state time delay system,and the multi-state neutral system study less.Therefore,this paper studies the fault-tolerant control of multi-state time delay system and the control and filtering of neutral time-delay system is very meaningful.This paper mainly focuses on the fault-tolerant control of multi-state time delay system and the performance-guaranteed control and filtering problem for neutral system with time delay from the following several aspects:(1)The analyzing robust H/infity control problem is based on the output feedback robust fault-tolerant H/infinity controller for multi-state time delay uncertainty control system and multi-state time delay uncertainty neutral control system,using Lyapunov-Krasovskii functional,Schur complement lemma,matrix inequality,and linear matrix inequality(LMI)methods,the output feedback robust fault-tolerant H/infity controller is designed for a class of uncertainty systems with multi-state time delay under the event of actuator failure.Via the controller designed the uncertainty systems can be robust stabilized for all the allowed uncertainties,and the performance index of H/infity is satisfied.(2)It based on the output feedback H/infity fault-tolerant controllers for uncertainty control system with distribution single time-varying delay and uncertainty control system with distribution multiple time-varying delay,using Lyapunov-Krasovskii functional,linear matrix Inequalities(LMI)and free weight matrix methods.System robust H/infinity fault-tolerant controller is studied under the case of actuator failure.Output feedback H/infity fault-tolerant controller is designed,such that the distributed timedelay system is robust asymptotic stable,and satisfies the H/infity performance index.(3)For the multi-state time delay uncertainty neutral control system based on state feedback non-fragile H/infity performance-guaranteed controller and the multi-state time delay uncertainty neutral control system based on output feedback non-fragile H/infity performance-guaranteed controller,combined with a secondary performance index,using linear matrix inequality method,Schur complement lemma and Lyapunov-Krasovskii functional study the design problems of non-fragile H/infity performanceguaranteed controller,so that the neutral system is stable and has sufficient conditions to H/infity the boundary,and gives the non-fragile H/infity performance-guaranteed control rate.(4)Robust H-infinity filtering design for a class of uncertain neutral systems with infinitely distributed and discrete time delays is studied.and a new type H-infinity filter is designed by using linear matrix inequalities(LMI),Cosi inequalities,Schur complement lemma and LyapunovKrasovskii functional.Robust H-infinity filter is designed to make the filtering error system with time-varying and norm-bounded parameter uncertainties asymptotically stable and satisfy the given H-infinity performance index.