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Output stabilization of time-varying input delay systems using interval observation technique |
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| Authors: | Andrey Polyakov Denis Efimov Wilfrid Perruquetti Jean-Pierre Richard |
| Affiliation: | 1. Non-A INRIA - LNE, Parc Scientifique de la Haute Borne 40, av. Halley Bat.A, Park Plaza 59650 Villeneuve d’Ascq, France;2. Ecole Centrale de Lille and LAGIS UMR CNRS 8219, BP 48, Cité Scientifique, 59651 Villeneuve-d’Ascq, France;3. Institute of Control Sciences of Russian Academy of Sciences, 117997, Profsouyznaya 65, Moscow, Russia;4. Department Control Systems and Informatics, Saint-Petersburg National Research University of Information Technologies, Mechanics and Optics, 197101, 49 Kronverkskiy pr., 49, St. Petersburg, Russia |
| Abstract: | The output stabilization problem for a linear system with an unknown bounded time-varying input delay is considered. The interval observation technique is applied in order to obtain guaranteed interval estimate of the system state. The procedure of the interval observer synthesis uses lower and upper estimates of the unknown delay and requires to solve a special Silvester’s equation. The interval predictor is introduced in order to design a linear stabilizing feedback. The control design procedure is based on Linear Matrix Inequalities (LMI). The theoretical results are supported by numerical simulations and compared with a control design scheme based on a Luenberger-like observer. |
| Keywords: | Input delay Output feedback Lyapunov methods Time-varying delay Sampling effects |
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