Title :
On stabilizing periodic orbits of a chaotic system via feedback control
Author :
Basso, M. ; Genesio, R. ; Giovanardi, L. ; Tesi, A.
Author_Institution :
Dept. of Syst. & Inf., Florence Univ., Italy
Abstract :
The paper deals with the problem of designing feedback controllers to stabilize unstable periodic orbits of chaotic systems. Moving from Pyragas time-delayed controllers (1992), classical frequency-domain stability criteria are exploited in order to select an optimal solution. An example illustrates the efficacy of the proposed method
Keywords :
chaos; control system synthesis; delay systems; feedback; frequency-domain synthesis; nonlinear dynamical systems; optimal control; stability criteria; time-varying systems; chaotic system; feedback control design; frequency-domain stability criteria; optimal solution; stabilization; time-delayed controllers; unstable periodic orbits; Chaos; Control systems; Feedback control; Feedback loop; Force control; Nonlinear control systems; Orbits; Stability analysis; Stability criteria; Transfer functions;
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.1997.626630
