Mathematical Control Theory

Analysis problem solution with disturbance both in input and output

K. Zheleznov

Institute of Control Sciences of RAS

Abstract: The conventional approach to disturbances suggests that input and output disturbances are independent. This assumption can lead to inaccurate estimation when input and output disturbances originates from a common source. New tracking problem solution method for linear systems with identical disturbance in both system's input and output is suggested. Our technique is based on semi-definite programming and scalar optimixation. Its higher effectiveness in comparison with conventional method is shown on example task from COMPleib.

Keywords: linear matrix inequalities, invariant ellipsoid techniques, tracking problem.

UDC: 977.1
BBK: 161.8

Received: February 9, 2016
Published: September 30, 2016

 English version: Automation and Remote Control, 2018, 79:7, 1311–1318

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