Constrained Interpolation-Based Control for Polytopic Uncertain Systems

Nam Nguyen (1) , Sorin Olaru (1) , P.O Gutman (2) , Morten Hovd (1)

1 E3S - Supélec Sciences des Systèmes
2 NTNU - Norwegian University of Science and Technology [Trondheim]

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.

Domains: Engineering Sciences [physics]; Automatic

Nam Nguyen, Sorin Olaru, P.O Gutman, Morten Hovd. Constrained Interpolation-Based Control for Polytopic Uncertain Systems. 2011 50th IEEE Conference on Decision and Control and European Control Conference, Dec 2011, Orlando - Floride, United States. pp.CD-Rom, ⟨10.1109/CDC.2011.6161524⟩. ⟨hal-00657876⟩