H_? Fault Tolerant Control For Singular Switched Systems With Nonlinear Uncertain Time-Varying Delays

In the actual operation of the switching system,the existence of system uncertainty and the failure of certain components in the system(such as actuators and sensors)are often difficult to avoid.How to solve the problem of robust fault-tolerant control of the switching system is a difficult and significant research topic.On the basis of summarizing the work of the predecessors,this paper mainly studies the fault-tolerant H? control of the switching system.The main contribution of this paper is to apply the theory and method of fault-tolerant control and H? control to the analysis and control of the switching system.Furthermore,the nonlinear uncertain generalized switched systems with time-varying delays and the nonlinear uncertain singular switched systems with state and control inputs with time-varying delays are further studied.Based on the existing work in this direction,this paper further enriches the theoretical results of fault-tolerant control of switching systems.(1)The problem of H? fault-tolerant control for a class of nonlinear uncertain singular switched systems is studied.Firstly,the sufficient condition for robust fault-tolerant exponential stabilization is given for the nonlinear uncertain generalized switched systems by using the mean dwell time method,and the upper bound of the norm estimation of the state is given.Secondly,the corresponding controller and switching law are designed for the nonlinear uncertain singular linear switching system by using the Lyapunov function method.The condition of system state feedback stability is given by linear matrix inequality.Then numerical examples are given and the LMI is simulated by MATLAB,which verifies the effectiveness of the method.(2)The problem of H? fault-tolerant control for a class of nonlinear uncertain singular switched systems with time-varying delays is studied.The time delay is satisfied over time,and there is no constraint on the rate of change.By using the above method,a sufficient condition for robust fault-tolerant exponential stabilization is given for a class of nonlinear uncertain generalized switched systems with time-varying delays.The upper bound of the norm estimation of the state is given.The corresponding controller and switching laws are designed for nonlinear uncertain generalized linear switched systems with time-varying delays.The condition of system state feedback stability is given by linear matrix inequality.Then numerical examples are given and the LMI is simulated by MATLAB,which verifies the effectiveness of the method.(3)The problem of H? fault-tolerant control for a class of nonlinear uncertain singular switched systems with state and control inputs with time-varying delays is studied.The H?fault-tolerant control problem for nonlinear uncertain generalized switched systems with timevarying delays in the presence of states is based on the state-and-control input with time-varying delays for nonlinear uncertain generalized switching systems with H? fault tolerance control problem was studied.