NDLI: LMI-based design of multichannel anisotropic suboptimal controllers with application to control of gyrostabilized platform

Content Provider	IEEE Xplore Digital Library
Author	Tchaikovsky, M.M. Kurdyukov, A.P. Nikiforov, V.M.
Copyright Year	2012
Description	Author affiliation: Federal State Unitary Academician Pilyugin Scientific-Production Center of Automatics and Instrument-Making, Moscow, 117997, Russia (Nikiforov, V.M.) \|\| Institute of Control Sciences of Russian Academy of Sciences, Moscow, 117997, Russia (Tchaikovsky, M.M.; Kurdyukov, A.P.)
Abstract	This paper is devoted to attenuation of uncertain stochastic disturbances in linear discrete time invariant system where certain input/output channels are grouped together to satisfy certain closed-loop performance specifications. The grouping takes into account some technical features of a system and closeness (in a sense) of the signals' properties. It is assumed that different groups of channels are characterized by different statistical uncertainty levels measured in terms of the mean anisotropy functional. The disturbance attenuation capabilities of the different groups of channels are quantified by the anisotropic norm which is applied in the performance specifications. The designed anisotropic suboptimal controller is required to stabilize the closed-loop system and ensure some specified levels of disturbance attenuation for certain groups of channels. The general procedure of synthesis of a fixed-order controller results in solving a system of convex inequalities with repect to the determinants of the positive definite matrices and LMIs in reciprocal matrices; the optimization problem is not convex. Standard convexification procedures lead to the convex optimization problems in the full information case (state-feedback controller) and in the case of full-order controller synthesis. The developed anisotropy-based approach is applied to control of angular position of a gyrostabilized platform and compared with the ℋ2/ℋ∞ mixed control. The proposed multichannel setting of the anisotropy-based robust stochastic control design has never been considered before. It allows the anisotropic norm to be applied in the well-developed framework of the multiobjective control design together with other specifications that can be formulated in terms of LMIs and convex constraints.
Starting Page	1455
Ending Page	1460
File Size	940441
Page Count	6
File Format	PDF
ISBN	9781467345033
ISSN	10851992
e-ISBN	9781467345057
e-ISBN	9781467345040
DOI	10.1109/CCA.2012.6402711
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-10-03
Publisher Place	Croatia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Closed loop systems Anisotropic magnetoresistance Attenuation Linear matrix inequalities Standards Convex functions
Content Type	Text
Resource Type	Article

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