Robust control of set-valued discrete-time dynamical systems |
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Authors: | Baras J.S. Patel N.S. |
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Affiliation: | Dept. of Electr. Eng. & Syst. Res. Center, Maryland Univ., College Park, MD; |
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Abstract: | This paper presents results obtained for the control of set-valued discrete-time dynamical systems. Such systems model nonlinear systems subject to persistent bounded noise. A robust control problem for such systems is introduced. The problem is formulated as a dynamic game, wherein the controller plays against the set-valued system. Both necessary and sufficient conditions in terms of (stationary) dynamic programming equalities are presented. The output feedback problem is solved using the concept of an information state, where a decoupling between estimation and control is obtained. The methods yield a conceptual approach for constructing controlled-invariant sets and stabilizing controllers for uncertain nonlinear systems |
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