Non-Fragile Fuzzy Control Study Of Nonlinear Large-Scale Systems

With the progress of science and technology, modern society has become increasingly informatization and systematization, many complex large-scale interconnected systems exist in areas of industrial production, society economy and living beings. By utilizing expert experience and language information, analyzing, modeling and control of many complex large-scale systems can be handled effectively by fuzzy control technology, which otherwise will be very hard by approaches of traditional control theory. In resent years, fuzzy control has been widely applied to the control problem of nonlinear large-scale systems. In this paper, to fuse the fuzzy control and control theory of nonlinear large-scale systems, based on the T-S fuzzy model, stability and performance control problem of nonlinear large-scale systems is studied.A robust non-fragile guaranteed cost fuzzy control problem for a class of uncertain discrete nonlinear large-scale systems described by T-S fuzzy model is presented. A sufficient condition for the existence of such non-fragile guaranteed cost controllers is derived via the linear matrix inequality approach. Simulation results demonstrate the feasibility and the effectiveness of the proposed design.For a class of uncertain discrete nonlinear large-scale systems with time-delay and controller gain perturbations described by T-S fuzzy model, an equivalent T-S fuzzy model is represented for discrete-delay nonlinear large-scale systems. A sufficient condition for the existence of such non-fragile controllers is derived via the Lyapunov function and the linear matrix inequality approach. Simulation results demonstrate the feasibility and the effectiveness of the proposed design.Combined with non-fragile control, H∞control and guaranteed cost control, the problem of non-fragile H∞guaranteed cost fuzzy control for a class of uncertain discrete nonlinear large-scale systems is considered. The controller guarantees the robust stability of the closed-loop system, and the upper bound of quadratic performance index satisfies the H∞disturbance attenuation leve1.A numerical example is given to illustrate the effectiveness of the proposed design.