Genetic algorithm optimized finite frequency H∞ time-delay control with the objective to maximize the allowable external disturbance energy. (February 2020)

• Record Type: Journal Article
• Authors: Wang, Xingye; Zhang, Jinqiu; Li, Guoqiang; Zhang, Jian; Peng, Zhizhao
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 234:Number 2(2020)
• Page Start: 211
• Page End: 221
• Publication Date: 2020-02
• Subjects: H∞ control -- disturbance energy -- finite frequency -- time-delay -- dynamic output feedback -- rack and pinion electromagnetic actuator -- genetic algorithm; Mechanical engineering -- Periodicals; Automatic control -- Periodicals; Systems engineering -- Periodicals; 621.3
• DOI: 10.1177/0959651819853905
• Languages: English
• ISSNs: 0959-6518

Abstract

In order to alleviate the deterioration on control effect caused by the inertia mass and the time-delay of a rack and pinion electromagnetic actuator, a finite frequency dynamic output feedback H∞ time-delay control strategy is proposed in this article. Currently, a H∞ controller is generally designed with the objective to minimize the infinite norm of the transfer function from the external disturbance to the control output, and the values of the slack coefficients are obtained according to the experience. But when used in practical, problems are found that only small external disturbance energy and narrow scope of driving conditions are allowed and it is difficult to find the optimal solution just according to the experience. In allusion to these problems, a H∞ controller design method with the objective to maximize the allowable external disturbance energy is proposed, and genetic algorithm is used to optimize the values of the slack coefficients. Finally, bench tests are carried forward to verify the control effects of the two controllers. The tests results show that, the controller designed with the objective to maximize the allowable external disturbance energy can adapt to more severe driving conditions, and it is more significant in actual application on vehicles.