Constrained Infinite-Horizon Model Predictive Control for Fuzzy-Discrete-Time Systems

Author

Xia, Yuanqing ; Yang, Hongjiu ; Shi, Peng ; Fu, Mengyin

Author_Institution

Dept. of Autom. Control, Beijing Inst. of Technol., Beijing, China

Volume

18

Issue

2

fYear

2010

fDate

4/1/2010 12:00:00 AM

Firstpage

429

Lastpage

436

Abstract

The problem of constrained infinite-horizon model-predictive control for fuzzy-discrete systems is considered in this paper. New sufficient conditions are proposed in terms of linear-matrix inequalities. Based on the optimal solutions of these sufficient conditions at each sampling instant, we design both parallel-distributed compensation and nonparallel-distributed compensation state-feedback controllers, which can guarantee that the resulting closed-loop fuzzy-discrete system is asymptotically stable. In addition, the fuzzy-feedback controllers meet the specifications for the fuzzy-discrete systems with both input and output constraints. Numerical examples are presented to demonstrate the effectiveness of the proposed techniques.

Keywords

asymptotic stability; closed loop systems; control system synthesis; discrete time systems; fuzzy control; infinite horizon; linear matrix inequalities; predictive control; state feedback; asymptotic stability; closed loop system; fuzzy-discrete-time systems; fuzzy-feedback controllers; infinite-horizon model predictive control; linear-matrix inequalities; state-feedback controller design; Discrete-time system; Takagi–Sugeno (T–S) fuzzy system; linear-matrix inequality (LMI); model-predictive control (MPC); parallel-distributed compensation (PDC);

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2010.2043441

Filename

5415640