The Design Of Controller And Synthesis For Hybrid Dynamic Systems

Hybrid dynamic systems are a class of complicated system which contain both discrete event dynamic system and continous or discrete time dynamic system, and there exists interaction between them.Design of controller and synthesis problems of several class of hybrid systems are discuss in this paper. Firstly, the engineering background, research content, characteristics and classification of hybrid dynamic systems are introduce. In chapter two, the basic knowledges of finite state automata and finite homogeneous Markov chain are introduce. In chapter three, by means of constructing a hybrid Lyapunov function, the stability of hybrid dynamic system is researched, a abundant condition of its stability is given. The hybrid feedback controller bases on the hybrid observer is designed. Furthermore, a abundant condition for stabilizing the closed-loop system is given. In chapter four, at first, by means of constructing a time-delay hybrid Lyapunov function, the stability of a class of time-delay hybird dynamic system is researched, a abundant condition of its stability is given. then, make use of a new signatures generator with time-delay to design a time-delay hybrid observer. On the basic of this observer, a hybrid feedback controller is designed. At the same time, a abundant condition for stabilizing the closed-loop system is also given. In the last chapter, at first, the stability of stochastic hybird dynamic system is researched, a sufficient condition of its stability is given. then, a design method of state feedback controller is given, Furthermore, a sufficient condition for stabilizing the closed-loop system is also presented. some corresponding simulation examples are given to show the efficient and validity of the theory in this paper.