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Explicit improved vertex control for uncertain,time‐varying linear discrete‐time systems with state and control constraints |
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| Authors: | Hoai‐Nam Nguyen Per‐Olof Gutman Sorin Olaru Morten Hovd |
| Affiliation: | 1. Control, Signal and System Department, IFP Energies Nouvelles, Rueil‐Malmaison, France;2. Faculty of Civil and Environmental Engineering, Technion ‐ Israel Institute of Technology, Haifa, Israel;3. SUPELEC Systems Sciences (E3S) ‐ Automatic Control Department, France;4. Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway |
| Abstract: | A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time‐varying linear discrete‐time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin. Copyright © 2015 John Wiley & Sons, Ltd. |
| Keywords: | constrained control uncertain systems invariant set vertex control explicit solution |