Nonlinear Pseudo State-Feedback Controller Design for Affine Fuzzy Large-Scale Systems with H∞ Performance

Authorsایمان زمانی,محسن شفیعی راد,محمد منثوری,محمد سرباز,Asier Ibeas
JournalInternational Journal of Fuzzy Systems (IJFS)
Page number80
Volume number25
IFثبت نشده
Paper TypeFull Paper
Published At2023
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexSCOPUS ,JCR

Abstract

This 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 computational effort and free gains are derived in terms of matrix inequalities. The proposed controller guarantees asymptotic stability, robust stabilization, and H∞ control performance of the AFLSS. A numerical example is given to illustrate the feasibility and effectiveness of the proposed approach.

tags: Affine fuzzy large-scale system (AFLSS) Decentralized nonlinear controller Parametric uncertainty H∞ control performance