| With the rapid development of technology, the pratical control systems are becoming more complicated and poss some characteristics, such as high orders, time delays, nonlinearity, uncertainties and time-varying. So it is difficult to analyze this kind of system and design the effective controller using traditional control theory. However, by utilizing expert experience and language information, analyzing, modeling and control of many complex piants can be solved effectively by fuzzy control. In addition, these complex systems can be controller easily even without exact mathmatical models. Therefore, the study of fuzzy system have important practical significance.This paper investigates the problem of stability of T-S fuzzy system by employing the information on delay-related terms, choosing appropriate Lyapunov functional and using state matrix decomposition technique. The delay-dependent stabilization criterias are obtained by adopting parallel distributed compensation (PDC) method to design fuzzy controller for the system. With the aid of state matrix decomposition tachnique, the results obtained are with simper form and have less slake variables.. Our new method can obtain small number of LMIs and reduce computaional efforts caused by free weighting method. Finally, three numerical examples are given to illustrate the effectiveness and low conservation of our method.This paper deals with the problem of delay-dependent stability and stabilization for fuzzy neutral system. By choosing appropriate Lyapunov functional and adoptiong state matrix decomposition technique, the delay-dependent stability criterias are proposed. Furthermore, sufficient conditions for asymptotic stability of the closed-loop fuzzy neutral systems are derived via LMI techonology by adopting parallel distributed compensation (PDC) method. Finally, Numerical examples are given to illustrate the effectiveness of our theory results. |
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