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This paper presents a new analysis to explain the asymptotic behavior of the two-inertia system on multiple feedback schemes with mechanism backlash. A linear pole placement controller for two-inertia system position control is designed and is utilized for performance evaluation. Unlike the describing function approximation in nonlinear control, this paper presents an alternative analysis for evaluating system performance. This approach evaluates the asymptotic behaviors within semi/full/dualclosed loop position controls that involve the effect of mechanism backlash in mechanical systems. The crucial lemmas to examine the compensation policies are formulated by theoretical discussion. The results provided by numerical simulation demonstrate the correctness and effectiveness of the analysis.

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