NDLI: H/sup infinity /-optimal control for singularly perturbed systems. II. Imperfect state measurements

Content Provider	IEEE Xplore Digital Library
Author	Pan, Z. Basar, T.
Copyright Year	1992
Description	Author affiliation: Illinois Univ., Urbana, IL, USA (Pan, Z.; Basar, T.)
Abstract	The authors study H/sup infinity /-optimal control of singularly perturbed linear systems under general imperfect state measurements using infinite-horizon formulations. Using a differential game theoretic approach, they first show that, as the singular perturbation parameter in approaches zero, the optimal disturbance attenuation level for the full-order system under a quadratic performance index converges to the maximum of the optimal disturbance attenuation levels for the slow and fast subsystems under appropriate slow and fast quadratic cost functions. Then, they construct a controller based on the slow subsystem only, and obtain conditions under which it delivers a desired performance level even though the fast dynamics have been completely neglected. The ultimate performance level achieved by this slow controller can be uniformly improved by a composite controller that uses some feedback from the output of the fast subsystem. The authors construct one such controller, using a two-step sequential procedure, which uses static feedback from the fast output and dynamic feedback from an appropriate slow output, each obtained by solving appropriate in -independent lower-dimensional H/sup infinity /-optimal control problems.<>
Starting Page	943
Ending Page	948
File Size	656779
Page Count	6
File Format	PDF
ISBN	0780308727
DOI	10.1109/CDC.1992.371587
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1992-12-16
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Output feedback Attenuation Control systems Linear systems Game theory Performance analysis Cost function
Content Type	Text
Resource Type	Article

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