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Constrained interpolation-based control for polytopic uncertain systems

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4 Author(s)
Nguyen, H.-N. ; Autom. Control Dept., SUPELEC Syst. Sci. (E3S), Gif-sur-Yvette, France ; Olaru, S. ; Gutman, P.-O. ; Hovd, M.

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.

Published in:

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

Date of Conference:

12-15 Dec. 2011