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Optimal Control for a Class of Uncertain Systems

In: Coping with Uncertainty

Author

Listed:
  • F. L. Chernousko

    (Institute for Problems in Mechanics of the Russian Academy of Sciences)

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.

Suggested Citation

  • F. L. Chernousko, 2006. "Optimal Control for a Class of Uncertain Systems," Lecture Notes in Economics and Mathematical Systems, in: Coping with Uncertainty, pages 171-183, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-35262-4_10
    DOI: 10.1007/3-540-35262-7_10
    as

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