Controller Design For Switched System With Time Delay

Because of hybrid system has a broad prospect of use, can serve as a kind of thesolution to the problem of common method. In recent years is the attention of researchers.Hybrid system can also contain continuous process and discrete process; can be moreinterconnected process of organic combination. Hybrid system is complex, hybrid sex,alternation, real-time, modularity characteristics. In the industrial production process ofdelay phenomenon widely exists, the so-called delay is to point to the current state of thesystem by the influence of the state in the past.As many system control process of inevitable part delay phenomenon is really hasbeen the attention, and carrying out a lot of research. Research in the field of research ofthe delay is very extensive, including many engineering system, for example, thetraditional mechanical traditional system, fluid analysis system, metallurgy forgingsmelting processes, network control process, etc.This paper studies a switching system control problem, the system control problem ofthe study and control theory of research are promoting action, have certain theory valueand practical application value. Main content can be summarized in the following aspects:For a class of continuous-time switched systems with time delay control problems,the Lyapunov stability theory, the conclusion is drawn that this system in switching rulesthat the system performance of the controller, and gives a dependent on LMI controllerdesign method, which can be realized through Matlab software.For a class of discrete switching system control problems, the application ofparameter-dependent Lyapunov stability function, it depends on the LMI form of thesystem is asymptotically stable controller design conditions, and gives a dependent onLMI controller design method, which can be realized through Matlab software.