Practical stabilization of uncertain dynamical systems by continuous state feedback based on Riccati equation and a sufficient condition for robust practical stability

Author

Hamano, F.

Author_Institution

Dept. of Electr. Eng., California State Univ., Long Beach, CA, USA

fYear

1989

Firstpage

1693

Abstract

A set of continuous state-feedback control laws for practical stabilization of a class of uncertain nonlinear dynamical systems is presented. A set of asymptotically stabilizing controllers is given for a subclass of systems. Sufficient conditions for practical and asymptotic stability in the presence of nonlinear uncertainty and disturbances are also given. Matrix Riccati equations are used to design the control laws and to describe the sufficient conditions, and a Lyapunov theorem is used to prove the results. Matching conditions are not required for the state-dependent nonlinearity

Keywords

Lyapunov methods; control system analysis; feedback; matrix algebra; nonlinear control systems; stability; Lyapunov theorem; Riccati equation; continuous state feedback; matrix algebra; nonlinear systems; nonlinearity; stability; stabilization; sufficient condition; uncertain dynamical systems; Asymptotic stability; Control systems; Design methodology; Nonlinear control systems; Nonlinear equations; Riccati equations; Robust stability; State feedback; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70437

Filename

70437