Title :
A kind of multivariable PID design method for chaos system - using H∞ loop shaping design procedure
Author :
Zhou, Shi-Lung ; Han, Pu ; Wang, Dong-feng ; Liu, Yu-Yan
Author_Institution :
Dept. of Autom., North China Electr. Power Univ., Baoding, China
Abstract :
The problem of stable control for chaotic nonlinear system is studied. The H∞ controller is designed by H∞ loop shaping theory, and provides the method for selecting the parameters of compensator. Because the H∞ controller is a high-order controller, it is difficult to realize, we simplify it to a multivariable PID controller. Tested by controlling Lorenz system and the simulation results show the validity of the scheme.
Keywords :
H∞ control; chaos; control system synthesis; multivariable control systems; nonlinear systems; stability; three-term control; H∞ controller; H∞ loop shaping design; chaos system; chaotic nonlinear system; controlling Lorenz system; high-order controller; multivariable PID controller design; stable control; Automatic control; Chaos; Control system synthesis; Control systems; Design methodology; Open loop systems; Shape control; Stability; Three-term control; Transfer functions;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1382294
