Stability Analysis Of Switched Nonlinear Systems With Actuators Failure

As a special and important class of switched systems,switched nonlinear systems are widely applied in aeronautics and astronautics,computer control,electric power systems and other fields.In actual control systems,some external environmental factors and the loss in use of control components often cause actuators failure,and then lead to the degradation of system performance,or even result in the system instability.Therefore,it is very necessary to study the switched nonlinear systems with actuators failure.Stability is an important prerequisite to maintain the normal operation of the system.Input-output finite-time stability reflects the transient behavior characteristics of the input and output of the system in a finitetime interval.Exponential stability reflects the dynamic behavior characteristics of the system in a infinite-time interval.Both of them are hot research topics in system stability analysis.In this work,we study the stability analysis for two classes of one-sided Lipschitz switched nonlinear systems with low conservatism based on actuators failure.The main results are summarized as follows:1.For a class of switched nonlinear systems with uncertainties and continuous external disturbance,the input-output finite-time stability problem with actuators failure is studied based on switching signal method.The matrix inequality technique is used to deal with the uncertain part of the system,combining the Lyapunov function method with average dwell time method,a sufficient condition for a class of uncertain switched nonlinear systems to be input-output finite-time stability with actuators failure is obtained.The design scheme of control gain of the state feedback controller is given.Finally,the matrix inequality is solved by using LMI toolbox in MATLAB,and the validity of the conclusion is verified by simulation.2.For a class of networked switched nonlinear systems with network-induced delay,an event-triggered mechanism based on the observation state is designed,and the exponential stability of the system with actuators failure is studied.With condition of state feedback controller based on the observation,combining Lyapunov function method with average dwell time method,the network-induced delay is processing for the time-delay of the system,a sufficient condition for exponential stability of a class of networked switched nonlinear systems with actuators failure is obtained.The control gain of the state feedback controller and the observation gain of the state observer are given.Finally,the matrix inequality is solved by using LMI toolbox in MATLAB,and the validity of the conclusion is verified by simulation.