在工業過程的PID控制應用中通常存在兩個難解決的問題：信號干擾聲問題和控制參數失調問題。經過分析對這兩個問題的分析，本文基于灰色理論，提出了引入灰色預估算法來還原與控制模型參數吻合的信號成分，利用灰色補償算法以及自適應方法來解決信號噪聲、控制參數失調問題。最后通過仿真研究，結論證明：經灰色理論算法處理后的PID控制器性能得到較大的提高。
關鍵詞：工業過程；灰色理論；自適應控制；濾波
Abstract: Two issues including signal noise and time-varying industrial process characteristics put forward a challenge for usual PID controller. Methods including grey predictor and grey compensation control together are developed to resolve them. The former one is used to find the counterpart component of sample signals，and the latter is used to cope with the mismatched problems from signal-disturbance and time-varying process characteristics. Finally, a simulation is performed and its results show that the proposed method helps to improve control performance.
Keywords: industrial process, grey theory, adaptive control, filter