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TECHNICAL PAPERS

Critical Stability Condition for EHSS With Friction and Transport Delay

[+] Author and Article Information
Ying Jeh Huang1

Department of Electrical Engineering,  Yuan Ze University, Chungli, Taiwan, Republic of Chinaeeyjh@saturn.yzu.edu.tw

Hsiang Kung Lee

Department of Electrical Engineering,  Yuan Ze University, Chungli, Taiwan, Republic of Chinas851902@mail.yzu.edu.tw

1

Corresponding author.

J. Dyn. Sys., Meas., Control 127(2), 257-266 (Jun 18, 2004) (10 pages) doi:10.1115/1.1898235 History: Received December 12, 2003; Revised June 18, 2004

A systematic method for analyzing electrohydraulic servosystems with inherent friction and transport delay is proposed. The analysis concept is well organized and described. Critical boundary equations are proposed to solve for the stability region boundaries. Three divided regions are found and examined, which are stable, unstable, and oscillatory regions. System performance relating to various controller gains and transport delay is discussed using simulation.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Electrohydraulic servo control system

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Figure 2

Nonlinear friction force

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Figure 3

Simplified block diagram of an electrohydraulic servo control system

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Figure 4

The limit cycle amplitude curve in the parameter plane

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Figure 5

The limit cycle frequency curve in the parameter plane

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Figure 6

Stability curves for the representative point Q1 (dashed lines, pole curves; solid lines, zero curves)

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Figure 7

Stability curves, Lp and Lz, for representative points, Q1–Q3

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Figure 8

Stability curves, Lp and Lz, for representative points, Q4–Q6

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Figure 9

Three different regions divided by the boundaries Cenv (line with circles) and Cinf (thick line)

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Figure 10

Time responses for representative points, Qa–Qd

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Figure 11

Time responses for representative points, Qe–Qg

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Figure 12

Sketch of a typical pole-zero distribution

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Figure 13

Variation of the pole-zero distribution

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