Constrained interpolation-based control for polytopic uncertain systems

Author

Nguyen, H.-N. ; Olaru, S. ; Gutman, P.-O. ; Hovd, M.

Author_Institution

Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

4961

Lastpage

4966

Abstract

In this paper, we consider the regulation problem for uncertain and time-varying linear discrete-time systems with bounded input and bounded state. By using an interpolation technique it is shown that, the convex hull of a set of invariant ellipsoids is also invariant. Feasibility and robustly and asymptotically stable closed-loop behavior are assured by minimizing an appropriate objective function. Moreover we show that the control value can be computed by solving nonlinear equations.

Keywords

asymptotic stability; closed loop systems; discrete time systems; interpolation; linear systems; nonlinear equations; robust control; time-varying systems; uncertain systems; asymptotically stable closed-loop behavior; constrained interpolation-based control; convex hull; interpolation technique; nonlinear equations; polytopic uncertain systems; robustly stable closed-loop behavior; time-varying linear discrete-time systems; Ellipsoids; Interpolation; Lyapunov methods; Optimization; Robustness; Trajectory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161524

Filename

6161524