Neutral Fuzzy Systems Of Non-fragile Control

The T-S fuzzy neutral time-delay system is a fuzzy model with complicated structure, where time-delays not only appear in the state of the system, but also appear in the derivative of the system state. Such complexity of the structure makes it very difficult to study the problems of analysis and control for fuzzy neutral time-delay systems. On the other hand, in practice the controller also involves uncertainty. Such controllers are referred to as non-fragile controllers. Based on the existing research results in the literature, this dissertation studies the non-fragile control problem for T-S fuzzy neutral time-delay systems by using the linear matrix inequality method and the Lyapunov function approach. Firstly, the non-fragile stabilization problem for a class of T-S fuzzy neutral time-delay systems is addressed and solved. A condition for the existence of non-fragile state-feedback fuzzy stabilizing controllers is obtained in terms of a set of linear matrix inequalities. Based on this work, we further investigate the problem of non-fragile state-feedback fuzzy control under different performance constraints, such as the non-fragile H_∞controller design, the non-fragile guaranteed cost controller design and the non-fragile L₂ - L_∞controller design, and we obtain some condtions for the existence of the corresponding controllers and their design method. All the design results proposed in this dissertation are expressed in terms of linear matrix inequalities, which can be easily solved by using the Matlab LMI Control Toolbox.