Discontinuous unit feedback control of uncertain infinite-dimensional systems

Author

Orlov, Yuri V.

Author_Institution

Dept. of Electron. & Telecommun., CICESE Res. Center, San Diego, CA, USA

Volume

45

Issue

5

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

834

Lastpage

843

Abstract

Control systems, driven by a discontinuous unit feedback in a Hilbert space, are studied. The equation which describes a system motion, taking place in the discontinuity manifold and further referred to as a sliding mode, is derived by means of a special regularization technique. Based on the sliding mode equation, the procedure of synthesis of a discontinuous unit control signal is developed. Restricted to a class of infinite-dimensional systems with finite-dimensional unstable part, this procedure generates the control law which ensures desired dynamic properties as well as robustness of the closed-loop system with respect to matched disturbances. As an illustration of the capabilities of the procedure proposed, a scalar unit controller of an uncertain exponentially minimum phase dynamic system is constructed and applied to heat processes and distributed mechanical oscillators

Keywords

Hilbert spaces; Lyapunov methods; closed loop systems; distributed parameter systems; multidimensional systems; stability; state feedback; uncertain systems; variable structure systems; Hilbert space; Lyapunov method; closed-loop system; distributed mechanical oscillators; distributed parameter systems; heat processes; infinite-dimensional systems; minimum phase system; robustness; sliding mode; stability; state feedback; uncertain system; Control system synthesis; Control systems; Equations; Feedback control; Hilbert space; Oscillators; Robust control; Signal synthesis; Sliding mode control; Temperature control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.855545

Filename

855545