Admissible initial value sets and dynamic feedback control of nonlinear differential-algebraic systems

Author

Zhu, Jiandong ; Tian, Yu-Ping ; Cheng, Zhaolin

Author_Institution

Dept. of Autom. Control, Southeast Univ., Nanjing, China

Volume

1

fYear

2004

fDate

15-19 June 2004

Firstpage

796

Abstract

In this paper, the admissible initial value set and dynamic feedback control of nonlinear differential-algebraic systems are considered. An algorithm to calculate the admissible initial value set is given. Based on the algorithm, the differential-algebraic system can be transformed to a standard state space system constrained in an invariant set. If the standard state space system constrained in the invariant set can be stabilized then the original differential-algebraic system can be stabilized by a dynamic feedback controller.

Keywords

differential algebraic equations; feedback; invariance; nonlinear control systems; nonlinear differential equations; nonlinear dynamical systems; set theory; stability; state-space methods; admissible initial value set; dynamic feedback controller; invariant set; nonlinear differential algebraic systems; state space system; Adaptive control; Automatic control; Control systems; Feedback control; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on

Print_ISBN

0-7803-8273-0

Type

conf

DOI

10.1109/WCICA.2004.1340696

Filename

1340696