Asymptotic stability of digitally redesigned control systems

Do Wan Kim, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper analyses an asymptotic stability of a digitally redesigned control system when the states of the analogue and the digital control systems are approximately matched at every sampling point. The digital redesign is a simple method of converting a given analogue controller to an equivalent digital controller in the sense of state-matching. The concerned state-matching technique is to minimise the norm distance between the discretised closed-loop system matrix of linear analogue control system and that of linear digital control system. It is shown that (i) there exists an upper bound of the norm distance to guarantee the asymptotic stability of the digitally redesigned control system and (ii) the trajectories of the linear analogue and the linear digital control systems coincide at every sampling point if the norm distance is zero. Also, a robustness result is provided in the case that nonlinear perturbations occur in the analogue and the digital control systems. Moreover, design conditions for the developed stability analysis are proposed in terms of linear matrix inequalities.

Original languageEnglish
Pages (from-to)2463-2470
Number of pages8
JournalInternational Journal of Control
Volume83
Issue number12
DOIs
Publication statusPublished - 2010 Dec 1

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Digital control systems
Asymptotic stability
Linear control systems
Control systems
Sampling
Controllers
Linear matrix inequalities
Closed loop systems
Trajectories

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Kim, Do Wan ; Park, Jin Bae ; Joo, Young Hoon. / Asymptotic stability of digitally redesigned control systems. In: International Journal of Control. 2010 ; Vol. 83, No. 12. pp. 2463-2470.
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Asymptotic stability of digitally redesigned control systems. / Kim, Do Wan; Park, Jin Bae; Joo, Young Hoon.

In: International Journal of Control, Vol. 83, No. 12, 01.12.2010, p. 2463-2470.

Research output: Contribution to journalArticle

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