Title :
Bifurcation analysis and control of nonlinear systems with a nonsemisimple zero at criticality and application
Author_Institution :
Wright State Univ., Dayton, OH, 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 :
asymptotic stability; bifurcation; control system analysis; nonlinear systems; pendulums; poles and zeros; robust control; asymptotic stability; bifurcation analysis; inverted pendulum; nonlinear systems; nonsemisimple zero; stabilization; Bifurcation; Chaos; Control system analysis; Control systems; Fractals; Jacobian matrices; Nonlinear control systems; Nonlinear systems; Stability analysis; Steady-state;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650651