Adaptive stabilization of second-order systems with bounded time-varying coefficients

Author

Roup, Alexander V. ; Bernstein, Dennis S.

Author_Institution

Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA

Volume

4

fYear

2001

fDate

2001

Firstpage

3471

Abstract

Concerns the problem of adaptive stabilization for a class of second-order time-varying systems under full-state feedback. Interpreting the system states as position and velocity, the system is assumed to have unknown, time-varying damping and stiffness coefficients, which are assumed only to be piecewise continuous and bounded. Furthermore, these bounds need not be known. The novel aspect of the controller is the fact that global convergence is guaranteed under nonparametric assumptions about the time-variation

Keywords

adaptive control; convergence; damping; stability; state feedback; time-varying systems; adaptive stabilization; bounded time-varying coefficients; full-state feedback; global convergence; piecewise continuous coefficients; second-order systems; second-order time-varying systems; system states; unknown time-varying damping coefficients; unknown time-varying stiffness coefficients; Adaptive control; Control system synthesis; Control systems; Damping; Eigenvalues and eigenfunctions; Programmable control; Stability analysis; State feedback; Time varying systems; Upper bound;

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/.2001.980395

Filename

980395