Control And Filtering For Lurie Control Systems With Time-delay

Lurie control system is a typical nonlinear control system,which has extensive practical engineering background.Such as aviation and aerospace,metallurgy,secret communication,aerospace vehicle control,hydraulic control field.Due to practical engineering systems are not only accompanied with the time delay phenomenon and uncertainty but also with the failure and external disturbance,so in order to ensure its stability,filtering and other performance,the design of controller and filter are needed.In fact,the designed controller and filter not only make sure the closed-loop systems asymptotically stable,but also satisfy expected other performance requireme-nt.The problems of controlling and filtering for Lurie control system is a very meaningful research topic.This thesis discuss control and filter problem for Lurie control system with time delay from the following several aspects:?1?They analyzing robust H_? control problem is based on memory state feedback controller for Uncertain Lurie control systems with time-varying delay and multiple time-varying delay via Lyapunov-Krasovskii functional,linear matrix inequality?LMI?approach and Schur complement lemma.In addition,the asymptotic stability of Lurie closed-loop control systems and H_? performancegare obtained.And robustH_? controller is designed for the Lurie systems.?2?We concerned with the robust H_? control problem andH₂H_? mixed control problem based on dynamic output feedback controllers for Lurie control systems with time-delay and uncertain Lurie control systems with time-delay.Employed Lyapunov-Krasovskii functional,linear matrix inequality approach,Schur complement lemma and variable substitution method.In addition,robust H_? controllers andH₂H_? mixed controllers are designed for the Lurie systems.?3?The reliable H_? control problem is studied based on matrix inequality approach,Schur complement lemma and Triangular decomposition method.Dynamic output feedback controllers of sensor failure and actuator failure for a class of uncertain Lurie control systems with time-varying delay are designed.The reliable controller can guarantee the asymptotic stability and H_? performance when the sensor and actuator in operation a fault happens.AndH_? controller is provided for Lurie control system.?4?The problem of stability and H_? filter is discussed for a class of Lurie control systems with gamma-distributed delay.Based on Lyapunov-Krasovskii functional,variable substitution,linear matrix inequality and Schur complement lemma combined with generalized Jensen inequalities,sufficient conditions for asymptotic stability and H_? performance are proposed.And H_? filter is provided for Lurie control system with gamma-distributed delay.