Disturbance decoupling with stability and impulse-free response in singular systems

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6 Scopus citations

Abstract

The problem of disturbance decoupling with stability and impulse-free response in square singular systems E x ̇ = Ax + Bu + Gq with output y = Dx, by applying a state feedback u = Fx, is considered. By employing Van Dooren's recursive algorithm for the computation of the subspace supremal (A, B)-invariant subspace in Kernel D and using Kalman's decomposition theorem, the paper's approach presents a complete solution to the underlying problem. Regarding state space systems, it is shown that the solution to the underlying problem is obtained almost directly from Van Dooren's recursive algorithm.

Original languageEnglish
Pages (from-to)401-411
Number of pages11
JournalSystems and Control Letters
Volume19
Issue number5
DOIs
StatePublished - 1 Jan 1992

Keywords

  • State space systems
  • disturbance decoupling
  • impulse-free response
  • singular (generalized, descriptor) systems
  • stability
  • state feedback

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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