Fuzzy Control Of Switching Nonlinear System With Asynchronous

Switched systems are an important class of hybrid systems. Switched systems consist of subsystems and a switching rule which orchestrates the running of subsystems.Switched systems can be modeled numerous objects and processes, such as spacecraft orbit control systems, auto speed control systems, DC-DC power converter systems, flexible robotics systems and intelligent transportation systems. So, in terms of practical application or theoretical research, research on the switched systems have a profound significance and importance.Due to the importance of the switched systems, it is constantly in-depth research on switched systems, especially in the controller synthesis, filter design and stability analysis fields had published numerous research results. But switched systems is a kind of complex systems, since many of its models are abstract from the real world, the dynamics behavior of switched systems not only depend on switching rules but also closely with the subsystems. The subsystems can be linear system or nonlinear system. Morever, when the system is switching between the subsystems, the asynchronous behaviors and impulsive phenomenons may exist. The switched system in practical circumstances may also exist delay, nonlinear and other factors. So, the switched system of controller synthesis and stability analysis are more complex than the common control system.This paper mainly studies the stability analysis and controller synthesis of the switched nonlinear systems with asynchronous. In detail, we consider the stability analysis and ∞control problem based on Lyapunov stability theory and mode-dependent average dwell time(MDADT) technique.First of all, the stability analysis problem of switched nonlinear systems is considered. By T-S fuzzy model theory to approximate the switched nonlinear systems, and combined with mode-dependent average dwell time(MDADT) technique to get the stable condition result. Then, numerical simulation examples are given to illustrate the results are effectiveness and correctness.Secondly, the ∞ performance of continue time switched nonlinear systems with asynchronous is considered. Based on T-S fuzzy model, the system models and the controller models may exist asynchronous phenomenon. The asynchronous phenomenon makes more difficulty and complexity when we analysis the stability problem of switched nonlinear systems. Also, we analysis the ∞ performance problem of switched nonlinear systems with asynchronous is based on T-S fuzzy model theory and MDADT technique.Thirdly, for a class of continue time switched nonlinear systems with asynchronous,we propose the design method of ∞ controller. Based on the result of ∞ performance,and combined with quadratic Lyapunov functions approach, we present the design results which are derived in the term of linear matrix inequalities(LMIs). Then, some simulations are given to demonstrate the feasibility and effectiveness of the results.