Paper: Optimal sensor location in the presence of nonstationary noise

  • Authors:
  • Manfred Morari;Michael J. O'Dowd

  • Affiliations:
  • Chemical Engineering Department, University of Wisconsin, Madison, WI 53706, U.S.A.;UOP Inc., Des Plaines, IL 60016. U.S.A.

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1980

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Abstract

Observability conditions for distributed parameter systems with nonstationary state excitation noise are derived. Because these conditions are violated in most cases of interest in process control an optimal projection approach and a sensor location criterion are developed to minimize the error caused by the lack of observability. The value of these concepts was demonstrated in real time experiments on a system with two spatial dimensions, the heating of a cylindrical ingot. It was found that through the nonstationary noise model and the optimal sensor location significantly improved state estimates can be obtained when persistent or slowly varying unmeasured disturbances affect the system. The real-time requirements for the filter were very modest and an application in the process industries where these disturbances always present a serious problem, seems entirely feasible.