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Norm based robust control of constrained discrete time linear systems

Sznaier, Mario (1990) Norm based robust control of constrained discrete time linear systems. In: 29th IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, 1925-1930 vol.3.

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Most realistic control problems involve some types of constraints. However, up to date all the algorithms that deal with constrained problems assume that the system is perfectly known. On the other hand, during the last decade a considerable amount of time has been spent in the robust control problem. However, in its present form, the robust control theory can address only the idealized situation of completely unconstrained problems. In this paper we present a theoretical framework to analyze the stability properties of constrained discrete time systems under the presence of uncertainty and we show that this formalism provides a unifying approach, including as a particular case the well known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems while at the same time satisfying state-space constraints.

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Additional Information:© 1990 IEEE.
Record Number:CaltechAUTHORS:20170628-173847832
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Official Citation:M. Sznaier, "Norm based robust control of constrained discrete time linear systems," 29th IEEE Conference on Decision and Control, Honolulu, HI, 1990, pp. 1925-1930 vol.3. doi: 10.1109/CDC.1990.203958
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78682
Deposited By: Kristin Buxton
Deposited On:29 Jun 2017 01:27
Last Modified:03 Oct 2019 18:10

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