Robust Control of Set-Valued Discrete Time Dynamical Systems

Robust Control of Set-Valued Discrete Time Dynamical Systems

Title : Robust Control of Set-Valued Discrete Time Dynamical Systems
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Conference : IEEE Transactions on Automatic Control Vol. 43, No. 1, pp. 61-75
Date: December 31 - December 31, 1995

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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