Convergence analysis of linear dynamical systems by high gain and high dynamic compensation

Patrice Mensah, Buoy K. Ghosh

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we analyses the problem of continuity of the closed-loop system map as a function of the compensator parameters. Under a suitable parameterization of the compensators we show that a necessary and sufficient condition for the closed loop systems map to be continuous is given by max (m, p)≥n where the plant is a p x m plant of degree n. In particular, for single-input single-output plants, the closed-loop systems map is always continuous. The above result is surprising because the inequality is independent of the McMillan degree q of the compensator. We also analyse the pole placement map and show that it always has points of discontinuity whenever q> O.

Original languageEnglish
Pages (from-to)1147-1166
Number of pages20
JournalInternational Journal of Control
Volume52
Issue number5
DOIs
StatePublished - Nov 1990

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