论文信息 - Bifurcation Analysis of a Rotating Arm with Saturated Hamiltonian Control Laws

Bifurcation Analysis of a Rotating Arm with Saturated Hamiltonian Control Laws

The actuator saturation effects on the global state space structure of a rotating arm with a Hamiltonian control law are studied via bifurcation analysis. In addition to other well-known codimension-two bifurcation points, some saturation-induced "fan-like" bifurcation points are detected. The dynamical complexity found in this seemingly simple example is remarkable.

Javier Aracil | Francisco Gordillo | Francisco Salas | Enrique Ponce

[1] William S. Levine,et al. The Control Handbook , 2005 .

[2] Liang-Heng Chen,et al. Bifurcation characteristics of nonlinear systems under conventional pid control , 1984 .

[3] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[4] John Baillieul,et al. Nonlinear control designs for systems with bifurcations with applications to stabilization and control of compressors , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[5] Guoxiang Gu,et al. Bifurcation analysis and control for surge model via the projection method , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[6] D. Bernstein,et al. A chronological bibliography on saturating actuators , 1995 .

[7] Javier Aracil,et al. Hopf bifurcation in indirect field-oriented control of induction motors , 2002, Autom..

[8] Guanrong Chen,et al. Hopf Bifurcation Analysis: A Frequency Domain Approach , 1996 .

[9] Y. Kuznetsov. Elements of Applied Bifurcation Theory , 2023, Applied Mathematical Sciences.

[10] J. Hale,et al. Dynamics and Bifurcations , 1991 .

[11] Guanrong Chen,et al. Bifurcation Control: Theories, Methods, and Applications , 2000, Int. J. Bifurc. Chaos.