| 研究生: |
蘇宸儀 Su, Cheng-Yi |
|---|---|
| 論文名稱: |
具量測不確定性下之冷卻扇系統數學建模、參數鑑別與控制器設計 Modelling, Identification and Controller Design for a Cooling Fan System Subject to Measurement Uncertainty |
| 指導教授: |
彭兆仲
Peng, Chao-Chung |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 航空太空工程學系 Department of Aeronautics & Astronautics |
| 論文出版年: | 2020 |
| 畢業學年度: | 108 |
| 語文別: | 中文 |
| 論文頁數: | 74 |
| 中文關鍵詞: | 冷卻扇 、建模與鑑別 、回授控制 、轉速即時預測 、線上監診 |
| 外文關鍵詞: | Cooling Fan, Modelling and Identification, Feedback Control, Real-time Speed Prediction, Online Monitoring and Diagnosis |
| 相關次數: | 點閱:132 下載:0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本研究提出對於冷卻扇系統一套完整的系統建模、鑑別與控制流程,並且透過預測轉速建立容許誤差範圍,達到即時監控冷卻扇狀態的目的。首先,基於空氣動力學與牛頓力學建立系統之數學模型,同時為了掌握系統特性,參數鑑別有其必要性。據此,先將動態模型以雙線性轉換映射到離散時域,再利用常見的最小平方法進行資料擬合,以取得一組最佳參數,然而,此最佳解可能受雜訊的影響造成擬合失真,此時可藉由最小差距濾波器(Minimum Difference Filter,MDF)獲得改善。除此之外,本研究對於參數鑑別有更進一步之改良,首先根據最小平方法之最佳解,再以萊文貝格-馬夸特方法的迭代技巧,可找到另一組最佳參數達到最小擬合誤差,並且對系統的描述更加完備。而有了這此組最佳參數,本研究即可進行冷卻扇之轉速預測與控制。轉速動態監控方面是基於模型預測,並建立轉速的容許誤差範圍,針對進氣口遭遮蔽的障誤或是驅動電路老化異常的狀況下進行診斷,且以LED燈號即時發出警示,讓使用者提早採取應變措施。另一方面,轉速控制則是採用非線性PI控制器,由於系統內部存在不確定性,且本身受外部擾動及雜訊的影響,藉由選擇適當的切換增益可達到抑制,同時增加控制器的強健性,以達到期望轉速。最後,本研究以模擬確立此套流程的正確性,再藉由實驗驗證其可行性,達到對冷卻扇系統即時監控的完整性。
This research proposes a full procedure of modelling, system identification, control for a cooling fan system. First of all, a physical model is established based on the aerodynamics. Secondly, to carry out the parameter identification, discretize the model by the bilinear transform. With the aid of the minimum difference filter(MDF), the noise effect to the least square regressors can be reduced. Though the least square solution provides an optimal set of parameters, there exists difference between the real and the fitting data. Therefore, seek the iteration of the Levenberg–Marquardt algorithm and the system identification will be improved. With an optimal set of parameters, the speed prediction and fault diagnosis can be realized. By setting an upper and lower bound for the predicted speed, it is convenient to monitor the status of a cooling fan system. In this paper, the covered inlet is assumed to be a fault and can be diagnosed by the abnormal speed. Furthermore, with the nonlinear PI type controller, it is possible for the fan to reach a desired speed subject to the model uncertainty and disturbance. Last but not least, simulation and experiment are performed to verify the feasibility and applicability of the proposed approach.
[1] P. Gullberg, L. Lo¨fdahl, and P. Nilsson, "Fan Modeling in CFD Using MRF Model for Under Hood Purposes," 2011.
[2] E. Johnson and M. Turbe, "Modeling, Control, and Flight Testing of a Small Ducted Fan Aircraft," Journal of Guidance Control and Dynamics, vol. 29, 07/01 2006.
[3] K. J. Åström and P. Eykhoff, "System identification—A survey," Automatica, vol. 7, no. 2, pp. 123-162, 1971/03/01/ 1971.
[4] J. P. Noël and G. Kerschen, "Nonlinear system identification in structural dynamics: 10 more years of progress," Mechanical Systems and Signal Processing, vol. 83, pp. 2-35, 2017/01/15/ 2017.
[5] M. Schoukens and K. Tiels, "Identification of block-oriented nonlinear systems starting from linear approximations: A survey," Automatica, vol. 85, pp. 272-292, 2017/11/01/ 2017.
[6] Z. Zang, R. R. Bitmead, and M. Gevers, "Iterative weighted least-squares identification and weighted LQG control design," Automatica, vol. 31, no. 11, pp. 1577-1594, 1995/11/01/ 1995.
[7] L. Xu and F. Ding, "Recursive Least Squares and Multi-innovation Stochastic Gradient Parameter Estimation Methods for Signal Modeling," Circuits, Systems, and Signal Processing, vol. 36, no. 4, pp. 1735-1753, 2017/04/01 2017.
[8] R. Qi, G. Tao, and B. Jiang, "T–S Fuzzy System Identification Using I/O Data," in Fuzzy System Identification and Adaptive Control, R. Qi, G. Tao, and B. Jiang, Eds. Cham: Springer International Publishing, 2019, pp. 75-103.
[9] V. A. Bavdekar, A. P. Deshpande, and S. C. Patwardhan, "Identification of process and measurement noise covariance for state and parameter estimation using extended Kalman filter," Journal of Process Control, vol. 21, no. 4, pp. 585-601, 2011/04/01/ 2011.
[10] T. Weber, J. Sossenheimer, S. Schäfer, M. Ott, J. Walther, and E. Abele, "Machine Learning based System Identification Tool for data-based Energy and Resource Modeling and Simulation," Procedia CIRP, vol. 80, pp. 683-688, 2019/01/01/ 2019.
[11] K.-V. Yuen, S.-C. Kuok, and L. Dong, "Self-calibrating Bayesian real-time system identification," Computer-Aided Civil and Infrastructure Engineering, vol. 34, no. 9, pp. 806-821, 2019/09/01 2019.
[12] S. ERKAYA and Ş. ULUS, "Investigation of fan fault problems using vibration and noise analysis," Recent Innovations in Mechatronics Vol. 1. No. 1, vol. 2, 2014.
[13] X. Xu, H. Liu, H. Zhu, and S. Wang, "Fan fault diagnosis based on symmetrized dot pattern analysis and image matching," Journal of Sound and Vibration, vol. 374, pp. 297-311, 2016/07/21/ 2016.
[14] W. Zheng, W. Pu, G. Xuejin, and Z. Yachao, "Fan fault diagnosis based on wavelet spectral analysis," in 2015 34th Chinese Control Conference (CCC), 2015, pp. 4756-4760.
[15] H. Ocak, K. A. Loparo, and F. M. Discenzo, "Online tracking of bearing wear using wavelet packet decomposition and probabilistic modeling: A method for bearing prognostics," Journal of Sound and Vibration, vol. 302, no. 4, pp. 951-961, 2007/05/22/ 2007.
[16] N. Nagaosa, J. Sinova, S. Onoda, A. Macdonald, and N. P. Ong, "Anomalous Hall effect," Rev. Mod. Phys. 82, 1539, 01/01 2010.
[17] 李偉立, "異常霍爾效應的新發展," 2009. 台灣磁性技術協會
[18] W. Wang and A. K. Wong, "Autoregressive Model-Based Gear Fault Diagnosis," Journal of Vibration and Acoustics, vol. 124, no. 2, pp. 172-179, 2002.
[19] A. L. Dexter and D. Ngo, "Fault Diagnosis in Air-Conditioning Systems: A Multi-Step Fuzzy Model-Based Approach," HVAC&R Research, vol. 7, no. 1, pp. 83-102, 2001/01/01 2001.
[20] R. Isermann, "Model-based fault-detection and diagnosis – status and applications," Annual Reviews in Control, vol. 29, no. 1, pp. 71-85, 2005/01/01/ 2005.
[21] G. Zhang and J. Furusho, "Speed control of two-inertia system by PI/PID control," IEEE Transactions on Industrial Electronics, vol. 47, no. 3, pp. 603-609, 2000.
[22] H. Liu and S. Li, "Speed Control for PMSM Servo System Using Predictive Functional Control and Extended State Observer," IEEE Transactions on Industrial Electronics, vol. 59, no. 2, pp. 1171-1183, 2012.
[23] S. Soyguder, M. Karakose, and H. Alli, "Design and simulation of self-tuning PID-type fuzzy adaptive control for an expert HVAC system," Expert Systems with Applications, vol. 36, no. 3, Part 1, pp. 4566-4573, 2009/04/01/ 2009.
[24] C.-C. Peng and C.-L. Chen, "Dynamic controller design for a class of nonlinear uncertain systems subjected to time-varying disturbance," Nonlinear Dynamics, vol. 57, no. 3, pp. 411-423, 2009/08/01 2009.
[25] C.-T. Chao, N. Sutarna, J.-S. Chiou, and C.-J. Wang, "An Optimal Fuzzy PID Controller Design Based on Conventional PID Control and Nonlinear Factors," Applied Sciences, vol. 9, no. 6, p. 1224, 2019.
[26] 彭兆仲, "逆步式順滑控制器設計及其於機械系統循軌與追蹤控制之應用," 成功大學航空太空工程學系學位論文, no. 2009 年, pp. 1-308, 2009.
[27] F. Liu and J. Er Meng, "Design for auto-tuning PID controller based on genetic algorithms," in 2009 4th IEEE Conference on Industrial Electronics and Applications, 2009, pp. 1924-1928.
[28] C. Zhiqiang, M. Feiyue, L. Huaying, L. Xiangbo, and H. Shousong, "The Hydraulic-Driven Fan Speed Control System Research Based on Fuzzy PID," in 2016 International Conference on Robots & Intelligent System (ICRIS), 2016, pp. 444-448.
[29] Z. Wang, C. Bash, N. Tolia, M. Marwah, X. Zhu, and P. Ranganathan, "Optimal Fan Speed Control for Thermal Management of Servers," 2009.
[30] C.-C. Peng and Y.-I. Lin, "Dynamics modeling and parameter identification of a cooling fan system," in 2018 IEEE International Conference on Advanced Manufacturing (ICAM), 2018, pp. 257-260: IEEE.
[31] C.-C. Peng, Y.-Z. Li, and C.-L. Chen, "A robust integral type backstepping controller design for control of uncertain nonlinear systems subject to disturbance," International Journal of Innovative Computing, Information and Control, vol. 7, 05/01 2011.
[32] L.-H. Chen and C.-C. Peng, "Extended backstepping sliding controller design for chattering attenuation and its application for servo motor control," Applied Sciences, vol. 7, no. 3, p. 220, 2017.