Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems

Verica Radisavljevic; Dobrila Skataric; WU Chung Su

doi:10.1115/IMECE2009-13053

Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems

Verica Radisavljevic
, Dobrila Skataric
, WU Chung Su

Rutgers - The State University of New Jersey, New Brunswick
University of Belgrade
National Chung Hsing University

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

Abstract

Matrix second-order damped linear dynamic systems arc frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. In this paper, wc show how to optimally control matrix second-order systems using locally optimal Kalman filters corresponding to scalar second-order subsystems and how to find the corresponding filter and linear-quadratic (LQ) controller optimal gains at the subsystem level. The globally optimal linear-quadratic controller and the globally optimal Kalman filter and obtained in terms of locally optimal LQ controllers and locally optimal scalar second-order parallel Kalman filters. Conditions are established under which the presented procedure is applicable. Examples are included to demonstrate the efficiency of the proposed technique.

Original language	English
Title of host publication	Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1083-1091
Number of pages	9
Edition	PART B
ISBN (Print)	9780791843833
DOIs	https://doi.org/10.1115/IMECE2009-13053
State	Published - 2010
Externally published	Yes
Event	ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States Duration: 13 Nov 2009 → 19 Nov 2009

Publication series

Name	ASME International Mechanical Engineering Congress and Exposition, Proceedings
Number	PART B
Volume	10

Conference

Conference	ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
Country/Territory	United States
City	Lake Buena Vista, FL
Period	13/11/09 → 19/11/09

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10.1115/IMECE2009-13053

Cite this

Radisavljevic, V., Skataric, D., & Su, WU. C. (2010). Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009 (PART B ed., pp. 1083-1091). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 10, No. PART B). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2009-13053

Radisavljevic, Verica ; Skataric, Dobrila ; Su, WU Chung. / Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems. Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART B. ed. American Society of Mechanical Engineers (ASME), 2010. pp. 1083-1091 (ASME International Mechanical Engineering Congress and Exposition, Proceedings; PART B).

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title = "Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems",

abstract = "Matrix second-order damped linear dynamic systems arc frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. In this paper, wc show how to optimally control matrix second-order systems using locally optimal Kalman filters corresponding to scalar second-order subsystems and how to find the corresponding filter and linear-quadratic (LQ) controller optimal gains at the subsystem level. The globally optimal linear-quadratic controller and the globally optimal Kalman filter and obtained in terms of locally optimal LQ controllers and locally optimal scalar second-order parallel Kalman filters. Conditions are established under which the presented procedure is applicable. Examples are included to demonstrate the efficiency of the proposed technique.",

author = "Verica Radisavljevic and Dobrila Skataric and Su, \{WU Chung\}",

year = "2010",

doi = "10.1115/IMECE2009-13053",

language = "English",

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series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings",

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

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booktitle = "Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009",

address = "United States",

edition = "PART B",

note = "ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 ; Conference date: 13-11-2009 Through 19-11-2009",

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Radisavljevic, V, Skataric, D & Su, WUC 2010, Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems. in Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART B edn, ASME International Mechanical Engineering Congress and Exposition, Proceedings, no. PART B, vol. 10, American Society of Mechanical Engineers (ASME), pp. 1083-1091, ASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009, Lake Buena Vista, FL, United States, 13/11/09. https://doi.org/10.1115/IMECE2009-13053

Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems. / Radisavljevic, Verica; Skataric, Dobrila; Su, WU Chung.
Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART B. ed. American Society of Mechanical Engineers (ASME), 2010. p. 1083-1091 (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 10, No. PART B).

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

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AU - Skataric, Dobrila

AU - Su, WU Chung

PY - 2010

Y1 - 2010

N2 - Matrix second-order damped linear dynamic systems arc frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. In this paper, wc show how to optimally control matrix second-order systems using locally optimal Kalman filters corresponding to scalar second-order subsystems and how to find the corresponding filter and linear-quadratic (LQ) controller optimal gains at the subsystem level. The globally optimal linear-quadratic controller and the globally optimal Kalman filter and obtained in terms of locally optimal LQ controllers and locally optimal scalar second-order parallel Kalman filters. Conditions are established under which the presented procedure is applicable. Examples are included to demonstrate the efficiency of the proposed technique.

AB - Matrix second-order damped linear dynamic systems arc frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. In this paper, wc show how to optimally control matrix second-order systems using locally optimal Kalman filters corresponding to scalar second-order subsystems and how to find the corresponding filter and linear-quadratic (LQ) controller optimal gains at the subsystem level. The globally optimal linear-quadratic controller and the globally optimal Kalman filter and obtained in terms of locally optimal LQ controllers and locally optimal scalar second-order parallel Kalman filters. Conditions are established under which the presented procedure is applicable. Examples are included to demonstrate the efficiency of the proposed technique.

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BT - Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009

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Radisavljevic V, Skataric D, Su WUC. Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009. PART B ed. American Society of Mechanical Engineers (ASME). 2010. p. 1083-1091. (ASME International Mechanical Engineering Congress and Exposition, Proceedings; PART B). doi: 10.1115/IMECE2009-13053

Subsystem level optimal control and filtering of non-classically damped matrix second-order linear mechanical stochastic systems

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