Title :
Global bifurcation analysis of an adaptive control system
Author :
Salam, Fathi M A ; Van Gils, S.A. ; Zhi-fen, Zhang
Author_Institution :
Dept. of Electr. Eng. & Syst. Sci., Michigan State Univ., East Lansing, MI, USA
Abstract :
The authors present a complete bifurcation analysis of a two-parameter, two-dimensional quadratic ODE (ordinary differential equation) which arises in the study of model reference adaptive control systems. The 2-D ODE exhibits saddle-node, (subcritical) Hopf, and saddle-loop bifurcations. The authors are able to describe the bifurcation diagram completely by identifying all the bifurcation curves. All but the saddle-loop bifurcation curves are explicitly characterized. The saddle-loop bifurcation curve, however, is described qualitatively, and its endpoints as well as its relative position are identified
Keywords :
adaptive control; control system analysis; differential equations; model reference adaptive control systems; 2D ordinary difference equation; adaptive control; global bifurcation; model reference adaptive control systems; saddle-loop bifurcations; saddle-node; Adaptive control; Adaptive systems; Bifurcation; Computational modeling; Computer simulation; Equations; Gas insulated transmission lines; Linear systems; Mathematics; Prototypes;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194319
