Finite-Frequency Fuzzy Output Feedback Controller Design for Roesser-Type Two-Dimensional Nonlinear Systems

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Original languageEnglish
Article number8957481
Pages (from-to)861-873
Journal / PublicationIEEE Transactions on Fuzzy Systems
Issue number4
Online published13 Jan 2020
Publication statusPublished - Apr 2021


This article studies the problem of finite-frequency static output feedback (SOF)  H controller design for discrete-Time Roesser-Type two-dimensional (2-D) nonlinear systems based on Takagi-Sugeno (T-S) fuzzy models. The 2-D Roesser nonlinear systems are described by T-S fuzzy models with parameter uncertainties. The objective is to design a SOF controller guaranteeing the asymptotic stability of the resulting closed-loop system with finite frequency H performance. Via a system state-input augmentation technique, the closed-loop system is formulated in a descriptor form. Then, based on fuzzy Lyapunov functions and some elegant convexification procedures, the SOF controller design approach is proposed. It is shown that the controller gains can be obtained by solving a set of linear matrix inequalities. Finally, simulation studies are given to demonstrate the effectiveness of the proposed method.

Research Area(s)

  • Finite-frequency H∞ performance, static output feedback (SOF) control, Takagi-Sugeno (T-S) fuzzy models, two-dimensional Roesser nonlinear systems