Absolute stability conditions in a fuzzy phase-lead compensation and their extension to MIMO systems

Author

Tanaka, Kazuo ; Ikeda, Takayuki

Author_Institution

Dept. of Mech. Syst. Eng., Kanazawa Univ., Japan

Volume

45

Issue

2

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

333

Lastpage

340

Abstract

This paper presents absolute stability conditions in a fuzzy phase-lead compensation and their extension to multi-input-multi-output (MIMO) systems. A theorem which realizes an effective phase-lead compensation is recalled. A so-called “transformation matrix” is derived in the theorem. A fuzzy phase-lead compensator (FPLC) is constructed by using the transformation matrix. The circle condition is employed to derive absolute stability conditions of feedback systems in a fuzzy phase-lead compensation. Next, a generalized class of FPLCs is defined, and its stability conditions are derived from the viewpoints of H_∞ norm and quadratic stability. It is found that the stability conditions realize stability analysis not only for single-input-single-output (SISO) systems, but also for MIMO systems

Keywords

MIMO systems; absolute stability; compensation; control system analysis; control system synthesis; feedback; fuzzy control; H_∞ norm; MIMO systems; absolute stability conditions; circle condition; feedback systems; fuzzy phase-lead compensation; quadratic stability; transformation matrix; Control systems; Frequency; Fuzzy control; Fuzzy systems; Linear feedback control systems; MIMO; Nonlinear control systems; Open loop systems; Stability analysis; Transfer functions;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/41.681233

Filename

681233