AN INVESTIGATION OF THE EFFECT OF FEEDBACK CONTROL ON
THEBIFURCATION STABILITY OF A NONLINEAR SERVOHYDRAULIC SYSTEM

Amit Shukla 1) and David F. Thompson 2)

1) Department of Mechanical and Manufacturing Engineering, Miami University, Oxford, Ohio 45056, USA
2) Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Ohio 45221, USA
david.thompson@uc.edu, shuklaa@muohio.edu


Abstract

The Servo-hydraulic systems are commonly used for motion and force control and exhibit nonlinear dynamic phenomena. One such nonlinear phenomenon is the loss of stability via bifurcations. In this work, a computational and experimental investigation is performed to characterize with a higher degree of accuracy the effect of linear feedback control on the bifurcation stability of a nonlinear servo-hydraulic system. A low-order model of the experimental test stand is first developed, validated and analyzed. It is then shown that the use of an appropriate linear feedback control structure can improve the bifurcation stability of a nonlinear servo-hydraulic system. Parametric space investigation is conducted to study the bifurcation stability behavior of the system and stability boundaries are developed to demonstrate the effect of linear feedback on the nonlinear systems.

Keywords: Servo-hydraulic, bifurcation, feedback control, nonlinear system



 

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