State Feedback H/H₂ Control

Tsutomu MITA, Kang Zhi LIU, Shigeto OUCHI

Summary :

H control theory provides a systematic frequency shaping method of control systems. The existence condition of the solution for so called standard H control problem and the form of the H controller are derived in 1989. One of the most important feature of the controller is that it has many free parameters which can be chosen independently of the H control. On the other hand there is a criticism that the time response of prototypal H control systems is slow. Therefore in this paper we introduce an H₂ control optimization by taking advantage of the free parameters to expect the improvement of the time response of the H control system. In this paper we consider state feedback case. The free parameters of state feedback H controller are not directly obtained from well known results since this problem is a kind of non-standard problem. Therefore, in the first place, we will get them via reviewing the FI (ful information) case. Then the free parameters of the state feedback H controller are shown based on the corrected FI solution. These parameters are next used to optimize an H₂ control objective in the H control system.

• Publication: IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.3 pp.299-306
• Publication Date: 1992/03/25
• Type of Manuscript: Special Section INVITED PAPER (Special Section on the 4th Karuizawa Workshop on Circuits and Systems)

Authors

Tsutomu MITA
Kang Zhi LIU
Shigeto OUCHI

Keyword

H state feedback control,  FI problem,  H/H₂ control