Iterative method for the mixed H₂/H_∞ control with a usable feasible direction of the H₂ optimisation
by Y. Kami; E. Nobuyama
International Journal of Advanced Mechatronic Systems (IJAMECHS), Vol. 5, No. 6, 2013

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.

Online publication date: Sat, 12-Jul-2014

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