The Stabilization Of Singular Large-scale Control Systems

In this dissertation,a detailed analysis of the current situation of study on the stability of singular large-scale conrtol systems is studied and the stability of singular large-scale control systems is researched.the main results in this dissertation are as follows.1) The backgruound, current situation and stability related to the singular systems, singular large-scale systems, singular large-scale control systems are summarized. Introduce the fundamental knowledge of the theorys and concepts.2) The stability and unstability of singular lage-scale control systems with input feedbacks are investigated by using generalized Lyapunov matrix equation, generalized Lyapunov function method, system decomposition method, singular systems theory and matrix theory under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.3) The stability and unstability of singular lage-scale control systems with output feedbacks are investigated by using the similar method under the condition that all systems and all isolated subsystems are R-controllable and R-observable, and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The stability and unstability theorem of singular large-scale control systems are given.4) The stability and unstability of singular lage-scale control systems with derivative feedbacks are investigated by using generalized Lyapunov matrix equation under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.