Numerical fixed-point solution for near-optimum regulators of linear quadratic gaussian control problems for singularly perturbed systems

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The fixed-point method is developed for obtaining an efficient numerical solution of the linear quadratic gaussian problem for singularly perturbed systems. It is shown that each iteration step improves the accuracy by an order of magnitude, that is, the accuracy 0(ek) can be obtained by performing only k — 1 iterations. In addition, only low-order systems are involved in algebraic manipulations and no analyticity requirements are imposed on the system coefficients.

Original languageEnglish (US)
Pages (from-to)373-387
Number of pages15
JournalInternational Journal of Control
Issue number2
StatePublished - Feb 1986

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

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