Title :
Controlling the Duffing oscillator to the Lorenz system and generalizations
Author :
Kunin, Isaak ; Chen, Guanrong
Author_Institution :
Dept. of Electr. & Comput. Eng., Houston Univ., TX, USA
Abstract :
It is shown that the Duffing system with a state feedback control is diffeomorphic to the Lorenz system. This is a motivation to introduce a class of Duffing-Lorenz-type systems. Attention is paid to symmetry groups G and operations of G-factorization and G-extension
Keywords :
chaos; nonlinear control systems; state feedback; Duffing oscillator; G-extension; G-factorization; Lorenz system; state feedback control; symmetry group; Chaos; Control systems; Equations; Feedback control; H infinity control; Mechanical engineering; Oscillators; Polynomials; Springs; State feedback;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873959
