In practice,because of the impact of external environment,internal failure,the communication delay,most of the subjects to be described are dynamic and time-variant.So,the stochastic system which is the typical representative of the dynamic system becomes the ideal model.In this thesis,two kinds of the typical stochastic systems are chosen as the system models,which are discrete-time Markov jump systems and networked control systems The problem of designing complex output feedback controller for Markov jump systems and designing optimal output feedback controller for complex networked control system are considered in this thesis.Firstly,the resilient asynchronous H? static output feedback controller are designed for Markov jump systems in this thesis.By Finsler's Lemma,and with the help of sets of slack variables,the product of system matrix and Lyapunov matrix are decoupled.The designed controller improves the robustness of the closed-loop system and overcomes the drawback that the controller has to get access to information of the system's modes.The closed-loop system is stochastically stable and with prescribed performance index.The theorem for the controller is in the form of bilinear matrix inequalities which can be solved by using linear matrix inequalities along with linear search.Secondly,this thesis focuses on the optimal output feedback control and stabilization of networked control systems with packet dropout,measurement delay and input delay.A necessary and sufficient condition for the finite time horizon optimal output feedback control problem is obtained.It should be stressed that the optimal estimator and optimal controller can be calculated separately.A necessary and sufficient condition for the stabilization of the infinite-time horizon system is derived.It has been proved that under standard assumptions the stabilizing condition depends merely on the eigenvalue of the system matrix and packet dropout probability which is irrelevant to measurement delay and input delay.The complex controller designed for the Markov jump systems overcomes the drawback of the low robustness and the need for system's modes.Moreover,the packet dropout and multiple delays are rarely considered at the same time for the networked control systems in the present day's work and the conditions for optimal controller and stabilization are both necessary and sufficient which means the problem are solved perfectly. |