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Technical Brief

Eigenstructure Assignment by Displacement–Acceleration Feedback for Second-Order Systems

[+] Author and Article Information
Taha H. S. Abdelaziz

Department of Industrial Engineering,
Faculty of Engineering,
Northern Border University,
Arar 1321, Kingdom of Saudi Arabia;
Department of Mechanical Engineering,
Faculty of Engineering,
Helwan University,
Helwan 11792, Cairo, Egypt
e-mail: tahahelmy@helwan.edu.eg

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 30, 2015; final manuscript received February 22, 2016; published online March 30, 2016. Assoc. Editor: Jongeun Choi.

J. Dyn. Sys., Meas., Control 138(6), 064502 (Mar 30, 2016) (7 pages) Paper No: DS-15-1295; doi: 10.1115/1.4032877 History: Received June 30, 2015; Revised February 22, 2016

This paper presents a new technique for controlling the dynamic response of second-order systems by means of combined displacement and acceleration feedback. The necessary conditions that guarantee the solvability for the problem are formulated. Parametric expressions for the displacement–acceleration gains and the eigenvector matrix are derived. The solution can be applied for the systems with nonsingular or singular mass matrices. Based on the simulation results, we can conclude that the proposed technique is effective.

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Figures

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Fig. 1

Closed-loop system response of a 3DOF system for Solution 2

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Fig. 2

Open- and closed-loop frequency response of a 3DOF system for Solution 2

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Fig. 3

Closed-loop system response for a 4DOF system

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Fig. 4

Closed-loop frequency response for a 4DOF system

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