Sensors and controllers location in distributed systems-A survey

  • Authors:

  • C. S. Kubrusly;H. Malebranche

  • Affiliations:

  • Department of Research and Development, Scientific Computation Laboratory-LCC/CNPq, Rua Lauro Müller 455, Rio de Janeiro, 22290, Brazil and Department of Electrical Engineering, Catholic Univ ...;Department of Research and Development, Scientific Computation Laboratory-LCC/CNPq, Rua Lauro Müller 455, Rio de Janeiro, 22290, Brazil

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1985

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Abstract

A survey of the field of optimal sensors and/or controllers location for dynamical distributed parameter systems modelled by partial differential equations is presented. The recent contributions in this field are grouped according to the main goal for which the location problem is developed, namely: system identification, state estimation, and optimal control. In order to pose the sensors and controllers location problem, the semigroup approach for modelling distributed linear systems is briefly reviewed together with its equivalent (infinite dimensional) and approximate (finite dimensional) Fourier expansion representations. After presenting a concise general review of the several methods considered in the current literature, a classification of methods is also proposed. The main classifying factor concerns the use of N-modal approximation schemes, and the different stages of the optimization procedure in which they are required.