Optimal distributed control system for a linear distributed para

Details Optimal distributed control system for a linear distributed para Optimal distributed control system for a linear distributed para

1991-08-29

1994-07-12

Smith, Jerry

Boots, shoes, and leggings

364150, G06F 1531

Patent

active

053294424

ABSTRACT:
An optimal control system for canceling the undesired responses of a linear istributed-parameter system in response to an input stimulus. The control system is optimally distributed and its design is based on the extension of the Pontryagin's maximum principle for a lumped-parameter system to a distributed-parameter system. The technique is to transform the stimulus-to-undesired-output transfer function of the distributed-parameter system into a multidimensional discrete state-space model, and to require a performance criterion to be defined. Theorems have been established to give conditions for asymptotic stability of the closed-loop distributed-parameter system, and to set up weighting factors for the performance criterion. An optimal distributed-control system can force the states of the distributed system to behave according to the prescribed performance criterion regardless of the boundary and initial conditions. The optimal control law can be implemented either as a state-feedback or an output-feedback controller.

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patent: 5082421 (1992-01-01), Acton et al.
patent: 5144549 (1992-09-01), Youcef-Toumi

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