Title :
Bifurcation analysis and control of nonlinear systems with a nonsemisimple zero at criticality and application
Author :
Fu, Jyun-Homg Alex
Author_Institution :
Syst. Planning & Anal. Inc., Alexandria, VA, USA
Abstract :
Bifurcation analysis and control for nonlinear systems with defective repetitive zero at criticality is presented. The results are applied to stabilization of a flexible, inverted pendulum mounted on a moving cart which is approximated with a coefficient of flexibility
Keywords :
bifurcation; nonlinear control systems; pendulums; poles and zeros; stability; bifurcation analysis; coefficient of flexibility; criticality; defective repetitive zero; inverted pendulum; moving cart; nonlinear systems; nonsemisimple zero; stabilization; Algebra; Bifurcation; Control system analysis; Control systems; Jacobian matrices; Mathematics; Nonlinear control systems; Nonlinear systems; Stability analysis; Steady-state;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704090