One Type Of Analysis And Control Of Discrete Impulsive Switched Systems

In real life, many actual systems are modeled as switched systems, and they have attracted a wide attention either in theory areas or in the practical application of research areas. However, a simple switched system is not sufficient to cover all the actual systems. It has found that systems simultaneously with switching and pulse changes are applied in many scientific and engineering fields, such systems are called impulsive switched systems. Discrete impulsive switched systems as an important branch of switched system, also have a really high research value. The main contents are as follows:Firstly, we are committed to study robust reliability control of a uncertain discrete impulsive switched systems experiencing actuator failure. Here the main consideration parameter uncertainty is norm-bounded, the article uses the dwell time approach to analyze the stability and design the controller. At first part, we use the LMIs and other treatment methods to prove out an exponential stability criterion. Subsequently, we design the state feedback controller for a closed-loop system, and use the controller to ensure that the system is exponentially stable.Then, in practical application, taking asynchronous switching, time-delay and uncertainties into account, we should study the stabilization of a class of uncertain discrete time-delay impulsive switched systems with asynchronous switching. Here the so-called asynchronous switching refers to the mismatch time exists between the subsystem controller and the ideal controller. By using the average dwell time (ADT) method, this paper gives a sufficient condition which ensures the closed-loop system is exponentially stable. Here, using the form of the matrix inequalities, we have got the gain and the reasonable switching rate of the ideal controller.All the controller motioned above are based on continuous measure of the system state variables, Unfortunately, in fact, this assumption is not always hold, so the problem of missing measurement is extremely common. And for all admissible uncertainties, here the designed dynamic output feedback controller (DOF) can guarantee the system exponentially stable in the mean square sense. Then the further analyze give a specific form of the controller.In real life, because it is difficult to measure all the status information of systems, in the last part of the paper, we designed an observer for a class variable delay term and discrete impulsive switched systems with time delay and nonlinearity. First, based on the average dwell time and Lyapunov-Krasovskii function skills, we give a time-delay independent exponential stability conditions for discrete impulsive switched systems with nonlinearity. Move a single step forward, a sufficient condition, which can ensure the error system is exponentially stable, is given.