TY - JOUR
T1 - Convergence analysis of linear dynamical systems by high gain and high dynamic compensation
AU - Mensah, Patrice
AU - Ghosh, Buoy K.
N1 - Funding Information:
The efforts of the anonymous reviewers in improving an earlier draft of this paper are gratefully acknowledged. This work was partially supported by the National Science Foundation under Grant No. ECS 861798.
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 -