Nonlinear Pseudo State-Feedback Controller Design for Affine Fuzzy Large-Scale Systems with $${{\varvec{H}}}_{\boldsymbol{\infty }}$$ Performance

Abstract

AbstractThis paper treats robust controller design for Affine Fuzzy Large-Scale Systems (AFLSS) composed of Takagi–Sugeno-Kang type fuzzy subsystems with offset terms, disturbances, uncertainties, and interconnections. Instead of fuzzy parallel distributed compensation, a decentralized nonlinear pseudo state-feedback is developed for each subsystem to stabilize the overall AFLSS. Using Lyapunov stability, sufficient conditions with low codemputational effort and free gains are derived in terms of matrix inequalities. The proposed controller guarantees asymptotic stability, robust stabilization, and $${H}_{\infty }$$ H ∞ control performance of the AFLSS. A numerical example is given to illustrate the feasibility and effectiveness of the proposed approach.