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

Andrew White; Guoming Zhu; Jongeun Choi

doi:10.1115/DSCC2013-3716

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

Andrew White, Guoming Zhu, Jongeun Choi

Department of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

10 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 language	English
Title of host publication	Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Print)	9780791856130
DOIs	https://doi.org/10.1115/DSCC2013-3716
Publication status	Published - 2013
Event	ASME 2013 Dynamic Systems and Control Conference, DSCC 2013 - Palo Alto, CA, United States Duration: 2013 Oct 21 → 2013 Oct 23

Publication series

Name	ASME 2013 Dynamic Systems and Control Conference, DSCC 2013
Volume	2

Other

Other	ASME 2013 Dynamic Systems and Control Conference, DSCC 2013
Country/Territory	United States
City	Palo Alto, CA
Period	13/10/21 → 13/10/23

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1115/DSCC2013-3716

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; Article 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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title = "A linear matrix inequality solution to the input covariance constraint control problem",

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.",

author = "Andrew White and Guoming Zhu and Jongeun Choi",

year = "2013",

doi = "10.1115/DSCC2013-3716",

language = "English",

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series = "ASME 2013 Dynamic Systems and Control Conference, DSCC 2013",

publisher = "American Society of Mechanical Engineers (ASME)",

booktitle = "Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;",

note = "ASME 2013 Dynamic Systems and Control Conference, DSCC 2013 ; Conference date: 21-10-2013 Through 23-10-2013",

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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 proceeding › Conference contribution

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AU - Zhu, Guoming

AU - Choi, Jongeun

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

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BT - Control, Monitoring, and Energy Harvesting of Vibratory Systems; Cooperative and Networked Control; Delay Systems; Dynamical Modeling and Diagnostics in Biomedical Systems;

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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). doi: 10.1115/DSCC2013-3716

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

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