Analysis And Control Of A Class Of Hybrid Dynamical Systems

Hybrid systems are composed of discrete event dynamic systems and continuous variable dynamic systems, which interact on each other. The appearance of hybrid system resulted from the combination of various disciplines such as control theory, computer science, system science and mathematics. The theory of hybrid systems is demand of further development of traditional control theory. On the other hand, recent technological innovations have caused a considerable interest in the study of dynamical processes having a heterogeneous continuous and discrete nature. Many real-world systems such as embedded systems, communication networks, electric power systems, chemical processes, traffic control, robotics, can be modeled as hybrid systems. On conclusion, the research of hybrid systems is significant for both theory and practice.The main contents contain the analysis and control of hybrid systems. The controls of hybrid systems mainly deal with state feedback control and analysis of hybrid systems mainly deal with theory of Lyapunov stability on the basis of analyzing and synthesizing current control theory and method. In this dissertation, the main contributions are as follows:●Hybrid system construction analysis. The concept, property and quality of hybrid system got deep into study from basic construction. Hybrid systems are classified according the interacting type of discrete event and continuous variable. The hybrid system were analyzed, by using hybrid automata as a model of the hybrid system.●Stability analysis of hybrid system. Two conditions of hybrid system stability are given and an algorithm that determines stable border is given based on linear matrix inequalities.●State feedback control of hybrid chaotic system. From analyzing continuous chaotic system, proposed Lyapunov exponent control method of continuous chaotic system based on state feedback control. The control strategy is extended hybrid chaotic system and a designing controller method of hybrid chaotic system is deduced. This control method is demonstrated effective by the study of a kind of hybrid system.