Sliding Mode Control For Two Kinds Of Discrete Switched Systems

In recent years,discrete system theory and sliding mode control theory have been widely used in real applications,such as automatic highway system,flight control system and network control system,and the stability of switching discrete systems and switching discrete singular systems is the focus of research.In order to enhance the practical application of the theory,the influence of time-varying delay on the stability of the system is general y considered.In this paper,the sliding mode control of two kinds of discrete systems is discussed in detail,which are sliding mode control of uncertain discrete generalized switched systems and sliding mode control of time-varying time-delay discrete switched systems.The stability of the system is studied mainly by control theory.The thesis is divided into three parts,which are the introduction of chapter one and the detailed introduction of two control models in chapter two and chapter three.In the second chapter,we mainly study the sliding mode control problem of uncertain discrete generalized switched systems.For the uncertain discrete generalized switched systems,based on the method of summation inequalities for free matrices,sufficient conditions are given to guarantee the admissibility of interference attenuation of such systems studied.A non fragile sliding mode controller with additive and multiplicative uncertainty is designed,and the conditions of the two uncertainties are discussed,and the conditions to be designed to reduce the chattering are given.Finally,an example is given to demonstrate the correctness of the result.In the third chapter,we use Lyapunov theory and new inequality method to discuss the stability of a class of time-varying time-delay switched systems with external disturbances.Based on the control law of sliding surface convergence to zero,we have designed the equivalent controller,and the reachable conditions for reducing the chattering are obtained.Finally,a numerical example consisting of two subsystems is used to verify the validity of the results.