A Class Of Switched Neutral Systems Analysis And Control

Switched neutral system is an important branch of switched system. In recent years, switched neutral systems have received more and more attentions due to the fact that a great number of real-world systems can be modeled as switched neutral system. Supported by the National Natural Science Foundation Project of China, this dissertation investigates the problem of analysis and control for a class of switched neutral systems based on the average dwell time approach and linear matrix inequalities (LMIs) method. The main contributions are as follows.It is considered that there inevitably exists asynchronous switching between the controller and the system in practical operation, stabilization for switched neutral systems under asynchronous switching is studied in this dissertation by utilizing the average dwell time method and free weighting matrix scheme approach, and the state feedback controller which can guarantee the exponential stability of the closed-loop switched neutral system is designed. Furthermore, the problem of robust reliable control for uncertain switched neutral systems under asynchronous switching is investigated. The systems under consideration contain parameter uncertainties and are subjected to outside disturbances simultaneously. The sufficient conditions on the existence of robust reliable controller are proposed in the form of LMIs.The problems of robust H∞control and robust reliable control for uncertain switched neutral systems with mixed delays are concerned. The mixed delays under consideration involve discrete delay, neutral delay and distributed delay. First, exponential stability criterions for switched neutral system with mixed delays are established in terms of a set of LMIs. Then, a method for designing a state feedback controller such that the system is exponentially stabilizable with H∞disturbance attenuation level y is presented. Finally, when the mixed delays are time-varying mixed delays, a robust reliable controller is proposed to guarantee that the closed-loop system is exponentially stable.The concepts of finite-time boundedness and finite-time H∞performance for switched neutral systems are addressed. A sufficient condition under which the switched neutral systems are finite-time bounded is proposed based on the average dwell time method firstly, and then a robust finite-time H∞state feedback controller is designed when when parameter uncertainties and unknown time-varying disturbance exist. The gain matrices of the desired controller are obtained by solving a set of LMIs.