초록 ▼

An optimal control system for canceling the undesired responses of a linear distributed-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 dis

An optimal control system for canceling the undesired responses of a linear distributed-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.

대표청구항 ▼

A control system comprising: A. a linear continuous distributed parameter system, which, when excited by an input signal, produces both desired output responses and at least one undesired output response, which has a continuous distributed transfer function describable by a partial differential equa

A control system comprising: A. a linear continuous distributed parameter system, which, when excited by an input signal, produces both desired output responses and at least one undesired output response, which has a continuous distributed transfer function describable by a partial differential equation with respect to at least two independent variables, at least one of which is limited in length, B. a physical body which is so placed that it is subject to the undesired output response, C. means using a Moshfegh transform format for converting said continuous distributed transfer function of said system, said function describing the transfer between input signal and at least one undesired output response, into a digital distributed transfer function in a discrete format and for obtaining from the digital distributed transfer function a digital distributed state-space model of said system capable of use with a digital computer, said model being in the form of state-space equations, D. means for using said model and responsive to the input signal for deriving an optimal computed output signal representing a derived output response which is coincident in time and space with the undesired output response, equal in magnitude and opposite in phase, and E. transducer means responsive to the computed output signal for applying the derived output response to said body to cancel the effects of the desired output response.