On the stability of fuzzy proportional-derivative control systems

Author

Chen, Guanrong ; Malki, Heidar

Author_Institution

Dept. of Electr. Eng., Houston Univ., TX, USA

fYear

1994

fDate

26-29 Jun 1994

Firstpage

942

Abstract

This paper presents the stability analysis of a fuzzy proportional-derivative (PD) controller. The proposed fuzzy PD controller has the same simple linear structure as the conventional PD controller in the proportional and derivative parts, but the two fuzzy control gains are nonlinear functions of the input error signals and they both have self-tuning control capability. The fuzzy PD controller has the same performance as the conventional PD controller for linear processes, yet improves the control capability for nonlinear and uncertain processes. We employ the “small gain theorem” to analyze the bounded-input/bounded-output stability of a general nonlinear fuzzy PD control system, deriving a simple and realistic sufficient condition for the stability of the system

Keywords

control system analysis; fuzzy control; nonlinear control systems; stability; two-term control; BIBO stability; bounded-input/bounded-output stability; fuzzy PD controller; fuzzy proportional-derivative control systems; input error signals; self-tuning control capability; stability analysis; uncertain processes; Control systems; Error correction; Fuzzy control; Fuzzy logic; Fuzzy systems; Nonlinear control systems; PD control; Process control; Stability analysis; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1994. IEEE World Congress on Computational Intelligence., Proceedings of the Third IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-1896-X

Type

conf

DOI

10.1109/FUZZY.1994.343861

Filename

343861