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Optimal distributed control system for a linear distributed parameter system

  • US 5,329,442 A
  • Filed: 08/29/1991
  • Issued: 07/12/1994
  • Est. Priority Date: 08/29/1991
  • Status: Expired due to Fees
First Claim
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1. 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, andE. 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.

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