Stability, robustness, and performance of fuzzy model based control

Author

Johansen, Tor A.

Author_Institution

Dept. of Autom. Control, SINTEF, Trondheim, Norway

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

604

Abstract

A nonlinear controller based on a fuzzy model of MIMO dynamical systems is described and analyzed. The fuzzy model is based on a set of ARX models that are interpolated using a fuzzy inference mechanism. The controller is a discrete-time nonlinear decoupler. A detailed stability analysis is carried out, and the main result is that the closed loop is globally stable and robust with respect to unstructured uncertainty, which may include modeling error and disturbances. In addition, bounds on the asymptotic and transient performance are given. The main assumptions on the system and model are that they must not have strong non-minimum-phase effects, except time-delay, and the unstructured model uncertainty must not be too large

Keywords

MIMO systems; asymptotic stability; autoregressive processes; closed loop systems; control system analysis; discrete time systems; fuzzy control; fuzzy logic; inference mechanisms; nonlinear control systems; robust control; ARX models; MIMO dynamical systems; asymptotic performance; closed loop; discrete-time nonlinear decoupler; fuzzy inference mechanism; fuzzy model based control; global stability; nonlinear controller; robustness; stability analysis; transient performance; unstructured uncertainty; Fuzzy control; Fuzzy sets; Fuzzy systems; Inference mechanisms; MIMO; Nonlinear control systems; Robust control; Robust stability; Stability analysis; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574390

Filename

574390