TY - JOUR
T1 - Convergence analysis of linear dynamical systems by high gain and high dynamic compensation
AU - Mensah, Patrice
AU - Ghosh, Buoy K.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1990/11
Y1 - 1990/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0025516863&partnerID=8YFLogxK
U2 - 10.1080/00207179008953588
DO - 10.1080/00207179008953588
M3 - Article
AN - SCOPUS:0025516863
VL - 52
SP - 1147
EP - 1166
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 5
ER -