Title :
A geometric perspective on bifurcation control
Author :
Wang, Yong ; Murray, Richard M.
Author_Institution :
Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA
Abstract :
We analyze the problem of bifurcation control from a geometric perspective. Our goal is to provide coordinate free, geometric conditions under which control can be used to alter the bifurcation properties of a nonlinear control system. These insights are expected to be useful in understanding the role that magnitude and rate limits play in bifurcation control, as well as giving deeper understanding of the types of control inputs that are required to alter the nonlinear dynamics of bifurcating systems. We also use a model from active control of rotating stall in axial compression systems to illustrate the geometric sufficient conditions of stabilizability
Keywords :
bifurcation; closed loop systems; compressors; feedback; geometry; nonlinear control systems; nonlinear dynamical systems; stability; active control; axial compression systems; bifurcation control; coordinate free geometric conditions; geometric perspective; geometric sufficient stabilizability conditions; nonlinear dynamics; rotating stall; Bifurcation; Control systems; Fluid flow control; Hysteresis; Limit-cycles; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Solid modeling; Sufficient conditions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912092
