Decentralized robust fuzzy controller with nonlinear local models for large-scale interconnected systems

In this paper, a kind of decentralized robust fuzzy controller which uses nonlinear local models is designed for the control of large-scale interconnected systems. The approach of T-S fuzzy model with nonlinear local models rather than with linear local model can bring some advantages. Especially for large-scale interconnected systems which often contain a lot of complex nonlinear interconnection functions, the number of fuzzy rules can be decreased as well as the computational burden can be reduced. Meanwhile, the parameter uncertainties within each subsystem and in the interconnection of subsystems are also considered to achieve robustness of the system's performance. In addition, guaranteed cost control (H2 control) is realized and the control synthesis conditions are given by solving a set of linear matrix inequalities (LMIs). Simulation result is given to illustrate the effectiveness of the proposed method.