STATE FEEDBACK H-INFINITY H-2 CONTROL

H(infinity) control theory provides a systematic frequency shaping met hod of control systems. The existence condition of the solution for so called standard H(infinity) control problem and the form of the H(inf inity) controller are derived in 1989. One of the most important featu re of the controller is that it has many free parameters which can be chosen independently of the H(infinity) control. On the other hand the re is a criticism that the time response of prototypal H(infinity) con trol systems is slow. Therefore in this paper we introduce an H-2 cont rol optimization by taking advantage of the free parameters to expect the improvement of the time response of the H(infinity) control system . In this paper we consider state feedback case. The free parameters o f state feedback H(infinity) controller are not directly obtained from well known results since this problem is a kind of non-standard probl em. Therefore, in the first place, we will get them via reviewing the FI (ful information) case. Then the free parameters of the state feedb ack H(infinity) controller are shown based on the corrected Fl solutio n. These parameters are next used to optimize an H-2 control objective in the H(infinity) control system.