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A Nonsmooth Nonlinear Programming Based Predictive Control for Mechanical Servo Systems with Backlash-like Hysteresis

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In this paper, a multi-step-ahead predictive control approach for dynamic systems with preceded backlash-like hysteresis based on nonsmooth nonlinear programming is proposed. In this approach, a nonsmooth multi-step-ahead predictive model… Click to show full abstract

In this paper, a multi-step-ahead predictive control approach for dynamic systems with preceded backlash-like hysteresis based on nonsmooth nonlinear programming is proposed. In this approach, a nonsmooth multi-step-ahead predictive model is developed for long-range prediction of the controlled dynamic systems with preceded backlash-like hysteresis. Then, the predictive control strategy is treated as a problem of on-line nonsmooth nonlinear programming. Subsequently, the stability of the nonsmooth predictive control system is analyzed and the corresponding stability condition is derived. Afterward, a numerical example and a simulation based on a mechanical servo system are presented, respectively.

Keywords: control; backlash like; nonlinear programming; predictive control; like hysteresis; nonsmooth nonlinear

Journal Title: Asian Journal of Control
Year Published: 2018

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