Finite-time disturbance attenuation control problem for singularly perturbed discrete-time systems

Mohamed A. Abdelrahman, D. Subbaram Naidu, Charalambos Charalambous, Kevin L. Moore

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper we consider the problem of finite-time H-optimal control of linear, singularly perturbed, discrete-time systems. The problem is addressed from the game theoretic approach. This leads to a singularly perturbed, matrix Riccati difference equation, the solution of which is given in terms of an outer series solution, and a boundary-layer correction series solution. We show that the disturbance attenuation level achieved by the singular perturbation method, compared to the full-order solution, depends on the order of approximation. The theory is illustrated by considering two examples.

Original languageEnglish (US)
Pages (from-to)137-145
Number of pages9
JournalOptimal Control Applications and Methods
Volume19
Issue number2
DOIs
StatePublished - 1998

Keywords

  • Disturbance attenuation
  • H optimal control
  • Matrix Riccati difference equation
  • Nuclear reactor
  • Singularly perturbed discrete-time systems

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