The analysis of the dynamic equilibrium in nonlinear control system

Author

Li Wang ; Qing-Lin Wang

Author_Institution

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

Volume

2

fYear

2004

fDate

1-3 Dec. 2004

Firstpage

1187

Lastpage

1191

Abstract

This paper discusses not a point of equilibrium to free system, but a certain family of equilibrium of nonlinear dynamical system with inputs. This equilibrium depends on the input, so it is called the dynamic equilibrium. The expression of the dynamic equilibrium is given under some certain condition. The stability property of the dynamic equilibrium depends also on the input, and it is discussed in systems with slowly varying input by two methods. We suggest some applications of this theory in the design of the nonlinear control system, address the direct method of feedback linearization based on the dynamic equilibrium state theory and the backstepping technique based on the dynamic equilibrium state theory

Keywords

control system analysis; control system synthesis; feedback; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; stability; backstepping technique; dynamic equilibrium state theory; feedback linearization; nonlinear control system; nonlinear dynamical system; stability property; Automatic control; Control systems; Dynamic equilibrium; Equations; Linear feedback control systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Cybernetics and Intelligent Systems, 2004 IEEE Conference on

Conference_Location

Singapore

Print_ISBN

0-7803-8643-4

Type

conf

DOI

10.1109/ICCIS.2004.1460759

Filename

1460759