Exponentially Dissipative Control Of Incommensurate Singular Impulsive Switched Systems

Impulsive switched systems are widely used in robot control systems and other fields.The overall performance of systems is no longer a simple combination of subsystems.The design of impulsive control and switching laws also provides possibility to solve many control problems.Most of the existing results are obtained under the premise that impulses and switches are simultaneous.However,in actual engineering,it is inevitable that impulses and switches are not simultaneous.Therefore,it is necessary to study incommensurate singular impulsive switched systems.In this paper,we study the exponentially dissipative control problem for incommensurate singular impulsive switched systems.Firstly,we introduce the significance and development of incommensurate singular impulsive switched systems and exponentially dissipative theory.Secondly,we study the problem of exponentially passive control for incommensurate singular impulsive switched systems.By using average impulse interval and average dwell time,we get the sufficient conditions of the exponential passivity for systems.Then we design a state feedback controller and observer-based state feedback controller for closed-loop system by the linear matrix inequality method.On this basis,we study the problem of exponentially dissipative control for incommensurate singular impulsive switched systems.The sufficient conditions of the exponential dissipation for systems are given by using average impulse interval and average dwell time technique.Then we design a state feedback controller and observer-based state feedback controller for closed-loop system.Finally,we testify the feasibility of the theorems by numerical examples.