LQG control for nonstandard singularly perturbed discrete-time systems

Beom Soo Kim, Young Joong Kim, Myo Taeg Lim

Research output: Contribution to journalArticle

13 Citations (Scopus)


In this paper we present a control method and a high accuracy solution technique in solving the linear quadratic Gaussian problems for nonstandard singularly perturbed discrete time systems. The methodology that exists in the literature for the solution of the standard singularly perturbed discrete time linear quadratic Gaussian optimal control problem cannot be extended to the corresponding nonstandard counterpart. The solution of the linear quadratic Gaussian optimal control problem is obtained by solving the pure-slow and pure-fast reduced-order continuous-time algebraic Riccati equations and by implementing the pure-slow and pure-fast reduced-order Kalman filters. In order to show the effectiveness of the proposed method, we present the numerical result for a one-link flexible robot arm.

Original languageEnglish
Pages (from-to)860-864
Number of pages5
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Issue number4
Publication statusPublished - 2004 Dec 1


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Instrumentation
  • Mechanical Engineering
  • Computer Science Applications

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