Title :
Bounded tracking controllers for the chaotic (forced) Duffing equation
Author :
Lefeber, A.A.J. ; Nijmeijer, H.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
This paper deals with the design of feedback controllers for a chaotic dynamical system like the Duffing equation. Lyapunov theory is used to show that the proposed bounded controllers achieve global convergence for any desired trajectory. Some simulation examples illustrate the presented ideas
Keywords :
Lyapunov methods; chaos; control system synthesis; nonlinear dynamical systems; tracking; Lyapunov theory; bounded tracking controllers; chaotic Duffing equation; chaotic dynamical system; feedback controller design; forced Duffing equation; global convergence; Adaptive control; Automatic control; Chaos; Control systems; Convergence; Equations; Force control; Mathematics; State feedback; Trajectory;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.626632
