DISTURBANCE ATTENUATION IN CONTROL SYSTEMS

Hans W. Knobloch
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Hans W. Knobloch: Mathematisches Institut, Universität Würzburg, Würzburg, 97074, Germany

International Game Theory Review (IGTR), 2005, vol. 07, issue 03, 261-283

Abstract: The paper deals with standard mathematical models for nonlinear affine control systems with two (vector-valued) inputsu(=control) andw(unknown except for a bound for the sup-norm). Interpretation of this scenario and its wide range of applications (in control and differential game theory): See the introduction. The main result of the paper is the presentation of a dissipation equality which seems to be new and which is the result of a special control strategy (discretized state feedback, see the introduction). Combination with Lyapunov techniques leads to a concrete proposal for stabilizing disturbed control system. The mathematical background — which is worked out in detail — amounts to an explicit integration of the Hamilton-Jacobi partial differential equation via the method of characteristics.

Keywords: Stabilization; identification; adaption of nonlinear control systems; uncertain dynamics; multi-person differential games; Hamilton-Jacobi partial differential equation (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0219198905000521

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