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Robust pole placement for plants with semialgebraic parametric uncertainty

Cerone, Vito and Piga, Dario and Regruto, Diego Robust pole placement for plants with semialgebraic parametric uncertainty. In: Proceedings of American Control Conference (ACC), 2012. IEEE, pp. 5240-5245. ISBN 978-1-4577-1095-7 (2012)

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In this paper we address the problem of robust pole placement for linear-time-invariant systems whose uncertain parameters are assumed to belong to a semialgebraic region. A dynamic controller is designed in order to constrain the coefficients of the closed-loop characteristic polynomial within prescribed intervals. Two main topics arising from the problem of robust pole placement are tackled by means of polynomial optimization. First, necessary conditions on the plant parameters for the existence of a robust controller are given. Then, the set of all admissible robust controllers is sought. Convex relaxation techniques based on sum-of-square decomposition of positive polynomials are used to efficiently solve the formulated optimization problems through semidefinite programming techniques.

Item Type: Book Section
Identification Number: 10.1109/ACC.2012.6315548
Additional Information: 2012 American Control Conference; held in Montréal Canada), June 27-June 29, 2012
Uncontrolled Keywords: Robust coprimeness; Robust pole placement; Semialgebraic uncertainty; Sum-of-square decomposition
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 26 Mar 2015 11:45
Last Modified: 26 Mar 2015 11:45
URI: http://eprints.imtlucca.it/id/eprint/2447

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