Title :
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
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;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161524