Systems with uncertain input delay-design for robust stability and performance

Author

Basker, V.R. ; Engelstad, J.D. ; Baab, C.T. ; Crisalle, O.D.

Author_Institution

Dept. of Chem. Eng., Florida Univ., Gainesville, FL, USA

Volume

1

fYear

1999

fDate

1999

Firstpage

414

Abstract

A static state-feedback controller is designed for a system that includes an uncertain input delay and a conically-bounded state-dependent perturbation. The ultimate goal is to robustly stabilize the system with respect to all allowed delays and perturbations. In addition, the design seeks to satisfy a 2-norm constraint in the control input. The technique is based on satisfying sufficient conditions expressed as linear matrix inequalities (LMI). A Lyapunov-Razumikhin approach is employed in the stability analysis to produce one set of LMI, while the input constraint introduces another group of LMI. The method yields an analytical expression for a state-feedback gain matrix that stabilizes the closed-loop system for all uncertainties and satisfies the input constraints

Keywords

Lyapunov methods; closed loop systems; control system synthesis; delays; matrix algebra; perturbation techniques; robust control; state feedback; uncertain systems; 2-norm constraint; LMI; Lyapunov-Razumikhin approach; closed-loop system; conically-bounded state-dependent perturbation; delays; input constraints; linear matrix inequalities; performance; perturbations; robust stability; state-feedback gain matrix; static state-feedback controller design; uncertain input delay systems; Chemical engineering; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Riccati equations; Robust stability; State feedback; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.782861

Filename

782861