Title: Iterative method for the mixed H2/H∞ control with a usable feasible direction of the H2 optimisation
Authors: Y. Kami; E. Nobuyama
Addresses: Department of Electrical and Computer Engineering, Akashi National College of Technology, Hyogo 674-8501, Japan ' Department of Systems Design and Informatics, Kyushu Institute of Technology Fukuoka 820-8502, Japan
Abstract: This paper deals with the mixed H2/H∞ control problem with static state feedback. The purpose of this paper is to propose an iterative method for this problem using a usable feasible direction for an H2 cost function. To do that, we derive one usable feasible direction for the H2 norm constraint firstly. Secondly an iterative method for the unconstrained H2 control problem using the direction is proposed. Next, we extend this method to that for obtaining a mixed H2/H∞ controller. Finally, the efficiency of the proposed method is shown by numerical examples.
Keywords: H2/H-infinity control; H2 norm optimisation; H-infinity control; usable direction; feasible direction; iterative method.
International Journal of Advanced Mechatronic Systems, 2013 Vol.5 No.6, pp.391 - 400
Received: 08 May 2021
Accepted: 12 May 2021
Published online: 20 Mar 2014 *