$H_{\infty} $ Fuzzy Control Synthesis for a Large-Scale System With a Reduced Number of LMIs

摘要: This paper introduces an $H_\infty$ fuzzy control synthesis method for a nonlinear large-scale system with reduced number of linear matrix inequalities (LMIs). It is well known that can be transformed to Takagi–Sugeno (T–S) by using “sector nonlinearity” or “local approximation in partition spaces” methods. Next, order achieve the design this T–S system, we solve stabilization conditions are represented LMIs. However, if LMIs large, process may become very complicated. In study, based on Lyapunov and S -procedure, several theorems proposed parallel distributed compensation (PDC)-type such achieves performance, solved explicitly. As result, will much easier. Furthermore, modeling error between exists, robust performance reduction also achieved theorem. Several examples presented show effect effectiveness controller synthesis.