Observer Design For A Class Of Switched Singular Systems

Switched singular systems is a type of even more complicated than switched systems, which is a kind of important type in the general hybrid system too.The important distinguish between switched systems and switched singular system is that all the sub-systems for switched systems are normal linear or nonlinear systems but for swtiched singular systems are all the singular systems.The state feedback has tremendous superiority to improve the system control performance for whether switched systems or switched singular systems, which is priority consideration using of feedback control for kinds of systems synthesis problems. However, we hardly acquire appearance of switched singular systems sometimes,at this time,we can make use of the control input and measuring out-put to restructure switched singular systems,it just is the problem of observer designing.In this paper, some works has been done on the observer designing for switched linear singular systems.Firstly, we give the model description of continuous-time switched linear singular systems, and propose the definition and design method for continuous-time linear switched singular systems' observer and singular observer'existent condition and stability of dynamic error under arbitrary switched rule.At last, we present the numerical value example to show validity of the conclusion.Secondly, we acquire the definition and design method for normal observer of continuous-time switched linear singular systems, and propose the observer'existent condition and stability of dynamic error under arbitrary switched rule. At last, we present the numerical value example to show validity of the conclusion.At last, we give the model description of discrete-time switched linear singular systems,and propose the definition and design method for discrete-time switched linear singular systems'singular observer'existent condition and stability of dynamic error under arbitrary switched rule. At last, we present the numerical value example to show validity of the conclusion.