Optimal Control for a Class of Uncertain Systems

F. L. Chernousko
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F. L. Chernousko: Institute for Problems in Mechanics of the Russian Academy of Sciences

A chapter in Coping with Uncertainty, 2006, pp 171-183 from Springer

Abstract: Abstract Linear dynamical control systems subject to uncertain but bounded disturbances are considered. The bounds imposed on the disturbances depend on the control magnitude and grow with the control. This situation is typical for the cases where the disturbance is due to the inaccuracy of the control implementation and often takes place in engineering applications such as transportation, aerospace, and robotic systems. Under certain assumptions, the minimax control problem is formulated and solved. The explicit expressions for the optimal control (both open-loop and feedback) are obtained that provide the minimax to the given performance index for arbitrary but bounded disturbances. Examples are given.

Keywords: Performance Index; Phase Trajectory; Uncertain System; Linear Control System; Feedback Optimal Control (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-35262-4_10

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DOI: 10.1007/3-540-35262-7_10

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