Singular nonlinear H∞ optimal control problem


Maas, W.C.A. and Schaft, A.J. van der (1996) Singular nonlinear H∞ optimal control problem. International Journal of Robust and Nonlinear Control, 6 (7). pp. 669-689. ISSN 1049-8923

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Abstract:The theory of nonlinear H∞ of optimal control for affine nonlinear systems is extended to the more general context of singular H∞ optimal control of nonlinear systems using ideas from the linear H∞ theory. Our approach yields under certain assumptions a necessary and sufficient condition for solvability of the state feedback singular H∞ control problem. The resulting state feedback is then used to construct a dynamic compensator solving the nonlinear output feedback H∞ control problem by applying the certainty equivalence principle.
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Copyright:© 1996 Wiley InterScience
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