D-Stability Control Of Delta Operator Switched Systems

The switching system is composed of a limited number of subsystems and switching laws.The switching system gets more and more attention from scholars because of its wide application.The Delta operator method is a new discretization method.When the sampling period is very small,it not only avoids oscillation of the system,but also makes the discretization system tend to the original continuous system model.In recent years,some scholars in the field of control have carried out research work on the Delta operator switching system.This paper mainly discusses the D-stability control problem of Delta operator switching system.The purpose is to make the Delta operator switching system to be stability and meet various performance requirements,and the Delta operator linear switching subsystem satisfy D-stability.The main content are as follows:The D-stability control problem of the Delta operator switching system is studied.The definition about D-stability of the Delta operator switching system is given,and the new criterion of D-stability of the system is proved.Based on these,the D-stability controller design method of Delta operator switching system is proposed.The problem of D-stable guaranteed cost controller for Delta operator switching system is discussed.An existence condition and design method of D-stability guaranteed performance control for Delta operator switching system are proposed.The D-stability control problem for the time-delay switching system of Delta operator is considered.For the linear time-delay system of Delta operator,the characteristic equation,pole and D-stability concept are introduced.Then the Dstability condition of the time-delay Delta operator switching system is given,and the design method of D-stability state feedback controller is obtained.