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Risk-theoretic optimal design of output-feedback controllers via iterative convex relaxations
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0002-6322-7857
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control). (System Identification Group)ORCID iD: 0000-0003-0355-2663
2022 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 136, p. 110042-110042, article id 110042Article in journal (Refereed) Published
Abstract [en]

This work presents a framework to address the MIMO (multiple-input multiple-output) control design problem under model uncertainty. The plant is considered to be LTI (linear and time-invariant) and that it is parametrized by a random variable whose distribution may be unknown but can be sampled from. The objective is to design a dynamic LTI MIMO controller optimizing the closed-loop H2-performance. To account for the uncertainty in the plant, we employ measures of risk on the performance and discuss how coherent measures of risk are suitable to address this problem. In particular, we introduce a measure called Conditional Value-at-Risk (CVaR) and analyze its advantages and disadvantages regarding other traditional measures of risk. A simulation study complements the discussion.

Place, publisher, year, edition, pages
Elsevier BV , 2022. Vol. 136, p. 110042-110042, article id 110042
Keywords [en]
Risk, Robust control, Output feedback, MIMO, Convex optimization, Uncertainty, Uncertain linear systems
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-313008DOI: 10.1016/j.automatica.2021.110042ISI: 000820880400016Scopus ID: 2-s2.0-85120169330OAI: oai:DiVA.org:kth-313008DiVA, id: diva2:1661552
Funder
Swedish Research Council, 2016-06079
Note

QC 20220530

Available from: 2022-05-28 Created: 2022-05-28 Last updated: 2022-07-21Bibliographically approved

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Müller, Matias I.Rojas, Cristian R.

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