Brief paper: Closed loop hierarchical control for non-linear systems using quasilinearisation

  • Authors:

  • Madan G. Singh;André Titli

  • Affiliations:

  • Laboratoire d'Automatique et d'Analyse des Systèmes du C.N.R.S., 7 Av. du Colonel Roche, 31400 Toulouse, France and St. John's College, Cambridge, England;Laboratoire d'Automatique et d'Analyse des Systèmes du C.N.R.S., 7 Av. du Colonel Roche, 31400 Toulouse, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1975

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Abstract

In this paper, the goal co-ordination method is modified in order to provide closed loop control for large-scale nonlinear dynamical systems with separable cost functions. The basis of the method is to use the last linear approximation, before overall convergence, of the quasi-linearization procedure used to solve the subsystem two point boundary value problems in order to calculate the local optimal feedback control. The method is demonstrated on a simple though interesting example of a non-linear dynamical system with two subsystems.