Brief Control-relevant experiment design for multivariable systems described by expansions in orthonormal bases

  • Authors:

  • Brian L. Cooley;Jay H. Lee

  • Affiliations:

  • ExxonMobil Chemical Company, Baton Rouge Plastics Plant, Baton Rouge, LA 70807-1840, USA;School of Chemical Engineering, Purdue University, West Lafayette, IN 47907-1283, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

The problem of control-relevant experiment design is considered. We first develop the problem in abstract form as an optimization of an unspecified closed-loop performance index. Then, we make the problem specific by considering systems that can be described via a finite expansion of orthonormal bases and designing the controller by specifying the closed-loop system's sensitivity function. Although the resulting optimization problem is nonconvex and may admit local solutions, simulations of high-purity binary distillation columns are presented to demonstrate that significant improvements in controller performance may be obtained even by using the local solution.