Analysis And Study Of Nonlinear Switched Systems

Since the advent of the control theory of concept, it has experienced the classicalcontrol theory and modern control theory, two stages of development, and now hasentered the stage of intelligent control theory. However, if from another perspective,Control theory can be divided into linear system control theory and control theory ofnonlinear system two aspects.The development of control theory, promote the actual engineering controltechnology progress; the problems in practical engineering control technology, and inturn promote the further development of control theory. And this process of practiceand theory support each other and promote each other makes the engineering controltechnology and the control theory have been the benign development.In the middle of1980s, Control theory of most of scholars believe that the realitycontain complex industrial control system by the continuous variables describing thedynamic evolution process of the physical and is characterized by symbolic operationand discrete control decision-making of high-level coordination optimization process,while to study and control the complex control system, not only need to control areasand aspects of knowledge in the field of mathematics, but also need computer scienceknowledge, so they decided to put this kind of complex control system into a systemof study alone, and this kind of complex control system is referred to as hybridsystem.Switching system as a basic model of the mixed system, its theoretical systemmodel is derived from the actual control system. Through a study on switched systemscontrol theory and summary, not only can process mentioned experience and data forthe mixed system of the research, but also can provide a lot of practical problems withpossible solutions. Different from general control system, the switch control system ismade up of several switch control subsystem and a "through" all control subsystem ofswitching rules, among them, the switching rule plays an indispensable role.The whole content of this article as follows:In the first part introduces the concept and research status of the nonlinearcontrol system and the switch control system, and expounds the practical significanceof the study of nonlinear switched systems control algorithm. In the second part respectively describes the characteristics and concepts of thePID controller and the fuzzy controller and the neural network controller and as theyswitched control subsystem of the control algorithm.In the third part deduces the basic theoretical framework of switch controlsystem model and basic switch control rules, mainly in the process of switch controloutput signal "jump" phenomenon may occur in the solution was put forward.The last part is for the full text content are summarized, And puts forward somefuture research direction of the switched system and the next research content thatcomplies with the research results in this paper.