A framework for global stabilization of nonlinear systems by continuous state feedback

Author

Qian, Chunjiang ; Lin, Wei

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA

Volume

4

fYear

2001

fDate

2001

Firstpage

3802

Abstract

This paper presents a framework for global stabilization of inherently nonlinear systems that may not be smoothly stabilizable but stabilizable by continuous state feedback. A systematic design method which combines homogeneous systems theory with the idea of adding a power integrator is developed for the explicit construction of C⁰ globally stabilizing controllers. The significance of the new framework is illustrated by solving a variety of nonlinear control problems that cannot be dealt with by existing methods

Keywords

asymptotic stability; controllers; nonlinear control systems; state feedback; continuous state feedback; global stabilization; globally stabilizing controllers; homogeneous systems theory; nonlinear control problems; nonlinear systems; power integrator; systematic design method; Control systems; Control theory; Design methodology; Ear; Eigenvalues and eigenfunctions; Feedback control; Linear feedback control systems; Nonlinear control systems; Nonlinear systems; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980456

Filename

980456