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This paper deals with the partial pole placement design of a proportional-integral (PI) observer. The proposed partial pole placement approach offers a new method for designers to assign the PI observer gains on a detectable system. Analysis and design of the PI observer are discussed in detail. A crucial lemma and discussions to the proposed approach are presented, and an illustrative numerical example is given to verify the proposed design approach.

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.

A new traction control which utilizes the maximum transmissible torque estimation (MTTE) scheme to execute the anti-slip control of electric vehicles is proposed in this study. Since the function of embedded knowledge mechanism, the chassis velocity and information about tire-road conditions is unnecessary. A closed-loop observer with disturbance estimation performance is employed to enhance the steering stability of MTTE approach. The proposed scheme which contains the closedloop friction torque estimator is not required to fulfill any differentiator. Moreover, the inversion of the controlled plant is also unnecessary. Evaluation examples are given to illustrate the performance and feasibility of the presented anti-slip strategy.

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