Anti-control of Hopf bifurcations through washout filters

作者: Dong Chen , H.O. Wang , Guanrong Chen

DOI: 10.1109/CDC.1998.757961

关键词:

摘要: Bifurcation control generally means to design a controller that can modify the bifurcation characteristics of bifurcating nonlinear system, thereby achieving some desirable dynamical behaviors. A typical objective is delay and/or stabilization given bifurcation. In this paper, we consider problem anti-control bifurcations, is, certain created with desired location and properties by appropriate controls. particular, washout filter-aided dynamic feedback laws are for creation Hopf bifurcations. As bifurcations give rise limit cycles, be viewed as one approach cycles oscillations into system via when such behaviors desirable.

参考文章(16)
J. Baillieul, S. Dahlgren, B. Lehman, Nonlinear control designs for systems with bifurcations with applications to stabilization and control of compressors conference on decision and control. ,vol. 3, pp. 3062- 3067 ,(1995) , 10.1109/CDC.1995.478614
Guanrong Chen, K.C. Yap, Jialiang Lu, Feedback control of Hopf bifurcations international symposium on circuits and systems. ,vol. 3, pp. 639- 642 ,(1998) , 10.1109/ISCAS.1998.704093
H.O. Wang, Dong Chen, L.G. Bushnell, Control of bifurcations and chaos in heart rhythms conference on decision and control. ,vol. 1, pp. 395- 400 ,(1997) , 10.1109/CDC.1997.650655
E.H. Abed, H.O. Wang, R.C. Chen, Stabilization of period doubling bifurcations and implications for control of chaos Physica D: Nonlinear Phenomena. ,vol. 70, pp. 154- 164 ,(1994) , 10.1016/0167-2789(94)90062-0
Hua O. Wang, Eyad H. Abed, Control of Nonlinear Phenomena at the Inception of Voltage Collapse american control conference. pp. 2071- 2075 ,(1993) , 10.23919/ACC.1993.4793245
R. Genesio, A. Tesi, H.O. Wang, E.H. Abed, Control of period doubling bifurcations using harmonic balance conference on decision and control. pp. 492- 497 ,(1993) , 10.1109/CDC.1993.325099
M.E. Brandt, Guanrong Chen, Bifurcation control of two nonlinear models of cardiac activity IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 44, pp. 1031- 1034 ,(1997) , 10.1109/81.633897
H.O. Wang, Dong Chen, Guanrong Chen, Bifurcation control of pathological heart rhythms international conference on control applications. ,vol. 2, pp. 858- 862 ,(1998) , 10.1109/CCA.1998.721580
H.O. Wang, R.A. Adomaitist, E.H. Abed, Active Stabilization of Rotating Stall in Axial-Flow Gas Compressors ieee regional conference on aerospace control systems. pp. 498- 502 ,(1993) , 10.1109/AEROCS.1993.720984
S. Weibel, J. Baillieul, Oscillatory control of bifurcations in rotating chains american control conference. ,vol. 5, pp. 2713- 2717 ,(1997) , 10.1109/ACC.1997.611949