Mathematical Control Theory

Anisotropic robust regulator synthesis for structured uncertainty control model

A. Yurchenkov

Institute of Control Sciences of RAS

Abstract: A problem of anisotropic control synthesis is considered and solved for the model of a control plant containing structured uncertainty. Adding a fictive input reduces the problem to the one of H1-optimization. The suggested numerical algorithm uses the homotopy method to calculate matrices of an anisotropic regulator basing on an H2-regulator. The designed regulator and the standard regulator for an unstructured uncertainty model are compared. Computer simulation shows advantages of the proposed regulator

Keywords: robust stochastic control anisotropic theory, structured uncertainty, homotopy method.

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