$H_{\infty}$ CONTROLLER DESIGN VIA LQ GAME PROBLEM FOR DISRETE TIME SYSTEM

  • Kwon, Wook-Hyun (Dept. of Control and Instrumentation Engr. and Automation Systems Research Institute, Seoul National Univ.) ;
  • Lee, Joon-Hwa (Dept. of Control and Instrumentation Engr. and Automation Systems Research Institute, Seoul National Univ.) ;
  • Kim, Won-Chul (Dept. of Control and Instrumentation Engr. and Automation Systems Research Institute, Seoul National Univ.)
  • Published : 1990.10.01

Abstract

In this paper, a state space solution to the discete time H$_{\infty}$ control problem is presented. It is shown that there exist LQ game problem corresponding to H$_{\infty}$ control problems and the H$_{\infty}$ controller can be obtained by solving the LQ game problem. Explicit state space formulae are given for the state feedback H$_{\infty}$ controller and output feedback H$_{\infty}$ controllers.lers. state feedback $H_{\infty}$ controller and output feedback $H_{\infty}$ controllers.

Keywords