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  • 學位論文

以瞬時擾動隨機近似為基礎之音圈馬達線上PID控制器參數調整

Voice Coil Motor Control via PID Based on Simultaneous Perturbation Stochastic Approximation Algorithm

指導教授 : 洪穎怡
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摘要


有鑑於工業界控制架構中90%以上係使用PI或PID控制器。本論文比較數種針對四階具時間延遲受控系統(音圈馬達)之PID控制器設計方法,提出新的設計方案。係利用瞬時擾動隨機近似(SPSA)最佳化方式求解問題,使用隨機性方法來求解這些高困難度之不確定性問題。主要是在解空間範圍中,利用隨機性選擇方法尋求一組,滿足一些限制條件要求及使其目標函數最小之最佳解。 本論文主旨在發展一線上自動調節的PID控制器,運用在音圈馬達的定位控制。在適應控制的架構之下,利用SPSA來作為線上調整控制器參數的法則,自動搜尋最佳的PID參數,藉由最小化性能指標的過程,作為調整控制器參數的依據,再進行線上參數的調整。文中首先進行最佳化PID控制器的理論推導與電腦模擬,再實現於音圈馬達的定位控制,驗證本論文所提的自動PID調節方法。

並列摘要


In industrial control systems, more than 90% of control loops belong to the PI or PID type. We compared several well-known PID tuning laws in this thesis. There are simple tuning formula to design PID controllers for 4th-order with the dead-time plant. However both the performance and robustness of those well-known PID tuning formula for the long dead-time process, delay time to time constant is large than 1, are not acceptable. Moreover, the robustness specification was not be considered in some PID tuning laws. Therefore, we used the SPSA random search methods to solve these problems. The first step of this method is to choose the solution space, and then to search the optimal solution by specially designated stochastic rules with an optimal objective function constrained with limited conditions. An auto-tuning PID controller for position control of a voice coil motor is developed in this thesis. The on-line parameter tuning policy is based on the SPSA technique. Three PID parameters can tuned consecutively until the optimal values are attained. The proposed approach has been confirmed in computer simulations and experiments. The optimal search method was implemented in the position control for a voice coil motor.

並列關鍵字

SPSA

參考文獻


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