Linear Programming Approach to Robust Controller Design by a Quantifier Elimination

Hirokazu Anai; Shinji Hara

doi:10.11499/sicep.2002.0.143.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.143.0

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Linear Programming Approach to Robust Controller Design by a Quantifier Elimination

Hirokazu Anai, Shinji Hara

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Keywords: a parameter space design, pole assignment, reasonable relaxation of specifications, linear programming, quantifier elimination, virtual substitution

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 143

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Abstract

In this paper we present a systematic method to obtain all feasible relaxations of a given design specification for robust controller synthesis problems by using quantifier elimination (QE) and, in particular, we apply it to robust pole assignment problems. Our method consists of the problem reduction to an LP problem and usage of a suitable special QE algorithm based on virtual substitution. The validity of the approach is demonstrated by some concrete computational examples.

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