This article is cited in 3 papers

Mathematical Control Theory

Synthesis of anisotropic suboptimal fixed-order controllers via semidefinite programming and algorithm for searching reciprocal matrices

M. Tchaikovsky

Institute of Control Sciences of RAS

Abstract: This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known distributions. The designed anisotropic suboptimal controller is a dynamic fixed-order output-feedback compensator which is required to stabilize the closed-loop system and keep its anisotropic norm below a prescribed threshold value. The proposed optimization-based approach to synthesis of the anisotropic controllers is novel.

Keywords: discrete linear time invariant systems, random disturbances, statistical uncertainty, norm, anisotropy, semidefinite programming, linear matrix inequalities, reciprocal matrices.

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