A linear matrix inequality solution to the input covariance constraint control problem

Andrew White, Guoming Zhu, Jongeun Choi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

In this paper, the input covariance constraint (ICC) con- Trol problem is solved by a convex optimization with linear ma- Trix inequality (LMI) constraints. The ICC control problem is an optimal control problem that is concerned with finding the best output performance possible subject to multiple constraints on the input covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the ICC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the con- Trol synthesis LMIs. Both discrete and continuous-time problems are considered.

Original languageEnglish
Title of host publicationControl, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Print)9780791856130
DOIs
Publication statusPublished - 2013 Jan 1
EventASME 2013 Dynamic Systems and Control Conference, DSCC 2013 - Palo Alto, CA, United States
Duration: 2013 Oct 212013 Oct 23

Publication series

NameASME 2013 Dynamic Systems and Control Conference, DSCC 2013
Volume2

Other

OtherASME 2013 Dynamic Systems and Control Conference, DSCC 2013
CountryUnited States
CityPalo Alto, CA
Period13/10/2113/10/23

Fingerprint

Linear matrix inequalities
Convex optimization
Covariance matrix

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

White, A., Zhu, G., & Choi, J. (2013). A linear matrix inequality solution to the input covariance constraint control problem. In Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems; [DSCC2013-3716] (ASME 2013 Dynamic Systems and Control Conference, DSCC 2013; Vol. 2). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DSCC2013-3716
White, Andrew ; Zhu, Guoming ; Choi, Jongeun. / A linear matrix inequality solution to the input covariance constraint control problem. Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;. American Society of Mechanical Engineers (ASME), 2013. (ASME 2013 Dynamic Systems and Control Conference, DSCC 2013).
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White, A, Zhu, G & Choi, J 2013, A linear matrix inequality solution to the input covariance constraint control problem. in Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;., DSCC2013-3716, ASME 2013 Dynamic Systems and Control Conference, DSCC 2013, vol. 2, American Society of Mechanical Engineers (ASME), ASME 2013 Dynamic Systems and Control Conference, DSCC 2013, Palo Alto, CA, United States, 13/10/21. https://doi.org/10.1115/DSCC2013-3716

A linear matrix inequality solution to the input covariance constraint control problem. / White, Andrew; Zhu, Guoming; Choi, Jongeun.

Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;. American Society of Mechanical Engineers (ASME), 2013. DSCC2013-3716 (ASME 2013 Dynamic Systems and Control Conference, DSCC 2013; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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White A, Zhu G, Choi J. A linear matrix inequality solution to the input covariance constraint control problem. In Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;. American Society of Mechanical Engineers (ASME). 2013. DSCC2013-3716. (ASME 2013 Dynamic Systems and Control Conference, DSCC 2013). https://doi.org/10.1115/DSCC2013-3716