特異摂動系の低次元H_∞制御

概要

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Many results concerning the linear quadratic control problems by means of the method of singular perturbation have been reported, since the first application of the method by P. Sannuti and P. Kokotovic in 1969. The robust stabilization problems in the singularly perturbed systems have also been discussed. However, the disturbance attenuation problems in such the systems which are significant in practice have not been studied yet. In this paper, the disturbance attenuation problems in the singularly perturbed system by means of H-infinity control strategy with constant weight are studied. The sufficient conditions for the disturbance attenuation as well as the stability in the singularly perturbed systems are given in theorems when the H-infinity control is applied. Numerical examples are also shown to demon-strate the results given.
東海大学の論文