Design of LQ controller for the logistic map using grey prediction

Author

Yu, Gwo-Ruey ; Hwang, Rey-Chue

Author_Institution

Dept. of Electr. Eng., I-Shou Univ., Kaohsiung, Taiwan

Volume

3

fYear

2004

fDate

10-13 Oct. 2004

Firstpage

2443

Abstract

A novel control of chaos is proposed in this paper. The compensator for a specific chaotic system (the logistic map) is composed of an LQ regulator and a grey predictor. The LQ regulator is designed according to the linearized model of the logistic map. The state error of the linearized model is predicted by the grey system theory. The control signal is appropriately adjusted in advance and the performance of the control system would be improved at the same time. Simulation results demonstrate that the LQ-grey compensator can stabilize the logistic map to a desired fixed point of period 1 or period 2. Furthermore, the transient response using the compensator is faster than that using only the regulator. The total control energy of the compensator is less than that of the regulator.

Keywords

chaos; control system synthesis; grey systems; linear quadratic control; transient response; LQ control; chaos control; chaotic system; control energy; grey prediction; logistic map; transient response; Brushless DC motors; Chaos; Control systems; Logistics; Open loop systems; Optimal control; Performance analysis; Predictive models; Riccati equations; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2004 IEEE International Conference on

ISSN

1062-922X

Print_ISBN

0-7803-8566-7

Type

conf

DOI

10.1109/ICSMC.2004.1400696

Filename

1400696