A SVD approach to H∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems

Author

Tseng, Chung-Shi ; Chen, Yung-Yue

Author_Institution

Dept. of Electr. Eng., Ming Hsin Univ. of Sci. & Technol., Hsin-Feng, Taiwan

fYear

2011

fDate

27-30 June 2011

Firstpage

1312

Lastpage

1319

Abstract

This study introduces H_∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems via T-S fuzzy models. In general, due to the interactions among subsystems, it is difficult to design an H_∞ decentralized output feedback controller for nonlinear interconnected systems. A singular value decomposition (SVD) method is proposed in this study to solve the H_∞ decentralized static output feedback fuzzy control problem. By the proposed SVD method, the problem of H_∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems is characterized in terms of solving an eigenvalue problem (EVP). This EVP can be easily solved by using a LMI-based optimization method. Finally, simulation example is given to illustrate the design procedure and robust performance of the proposed methods.

Keywords

H^∞ control; Taguchi methods; control system synthesis; decentralised control; eigenvalues and eigenfunctions; feedback; fuzzy control; interconnected systems; linear matrix inequalities; nonlinear control systems; optimisation; singular value decomposition; H_∞ decentralized static output feedback fuzzy control design; LMI based optimization method; SVD method; T-S fuzzy models; eigenvalue problem; nonlinear interconnected system; robust performance; singular value decomposition method; Attenuation; Control design; Fuzzy control; Interconnected systems; Nonlinear dynamical systems; Output feedback; Symmetric matrices; EVP; H∞; LMI; SVD; decentralized; static output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2011 IEEE International Conference on

Conference_Location

Taipei

ISSN

1098-7584

Print_ISBN

978-1-4244-7315-1

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2011.6007332

Filename

6007332