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Robust inverse optimal control for flexible structures

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An inverse optimal control problem is formulated to develop robust control laws for purely oscillatory systems. The optimal control solution requires output feedback with specified constraints, leading to robustness with respect to unmodeled modes and a large class of parameter variations. The robustness properties are proved directly from known properties of control laws resulting from quadratic performance indices. The control laws are useful for poorly damped flexible structures.

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This research was supported by the Office of Naval Research, Contract No. N00014-77-C-0247.

Communicated by G. Leitmann

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Arbel, A., Gupta, N.K. Robust inverse optimal control for flexible structures. J Optim Theory Appl 35, 403–416 (1981).

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Key Words

  • Inverse optimal control
  • robust control
  • Riccati equation
  • large space structures
  • flexible structures