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研究生: 郭玉笙
Kuo, Yu-Sheng
論文名稱: 適用於具有未知干擾和輸入限制之資料採樣系統的一種比例積分模型預測追蹤器和等效輸入干擾估測器
A PID Filter-Shaped PI-MPC Tracker and EID Estimator for Sampled-Data Systems with Unknown Disturbances and Input Constraints
指導教授: 蔡聖鴻
Tsai, Sheng-Hong
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 73
中文關鍵詞: PID濾波器頻率塑型模型預測控制等效輸入干擾線性函數估測器干擾估測器
外文關鍵詞: PID filter, frequency shaping, model predictive control, equivalent input disturbance, linear functional observer, disturbance estimator
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  • 本論文提出一種以比例積分微分濾波器之頻率塑型法為基礎的比例積分模型預測追蹤器,以及一種基於函數型觀測器的等效輸出干擾估測器,用於控制具有未知外部干擾和輸入限制的最小相位資料採樣系統。首先,經由比例積分微分濾波器之頻率塑型法,原系統被擴增,有更多用來吸引閉路極點的控制零點設置在指定位置,使系統的穩定性和追蹤性能加強。之後,由具有輸入限制之模型預測控制法在有輸入限制情況下決定控制律,使控制律易於應用在實務上。對於消除未知干擾引起的負面輸出影響方面,先引入等效輸入干擾的概念,再透過線性函數型觀測器和全階狀態觀測器,建構一種不受未知干擾的維度或秩數條件限制,基於狀態回授之等效輸入干擾估測器。最後以例題說明本論文提出的比例積分模型預測追蹤器和等效輸入干擾估測器的效用。

    For the minimum-phase sampled-data system with unknown external disturbances and input constraints, a proportional-integral-differential (PID) filter-shaped PI-MPC (model predictive control) tracker and a functional observer-based equivalent-input-disturbance (EID) estimator have been proposed in this thesis. First, with the PID filter-based frequency shaping approach, the system is augmented and more control zeros are assigned at the specified locations to attract the closed-loop poles, such that the stability and tracking performance of the system can be enhanced. Then, the input-constrained MPC determines the optimal control law with input constraints to facilitate the implementation. For the cancellation of negative output effects induced by unknown disturbances, the concept of the EID is introduced first, then a state-feedback-based EID estimator is constructed by the linear functional observer and the full-order state observer, without any constraints on the dimension or rank condition of unknown disturbances. Lastly, the effectiveness of the proposed PID filter-shaped PI-MPC tracker with input constraints and EID estimator for the system with unknown disturbances is revealed by the illustrative examples.

    摘要 I Abstract II Acknowledgments III List of Contents IV List of Figures VI Chapter 1 Introduction 1 Chapter 2 A New PID Filter-Shaped PI-MPC Tracker with Input Constraints 3 2.1. PID filter-based frequency shaping approach 4 2.1.1. Transformation of the non-minimum-phase system into a minimum-phase one 4 2.1.2. Assignment of some extra target zeros (without open-loop pole-zero cancellation) to attract some closed-loop poles in the closed-loop design 4 2.1.3. Construction the intermediary augmented plant 5 2.2. Modified input-constrained model predictive control 6 2.3. A combination of the PID filter-shaped PI tracker and the modified input-constrained MPC control: The PID filter-shaped PI-MPC tracker with input constraints 9 Chapter 3 The Discrete-Time Estimate-State-Feedback-Based EID Estimator 14 3.1. EID of unknown disturbances for the discrete-time system 15 3.2. Constructions of the state observer and EID estimator 16 3.3. Design of the full-order state observer and EID estimator 18 3.4. Stability analysis in the frequency domain 19 Chapter 4 Discrete-Time Linear Functional Observer 22 4.1. Problem statement 23 4.2. Existence condition 23 Chapter 5 Design Procedure of the PID Filter-Shaped PI-MPC Tracker for the Sampled-Data System with Unknown Disturbances and Input Constraints 28 5.1. Design of the full-order state observer 29 5.2. Linear functional observer design 31 5.3. Design of the PID filter-shaped PI-MPC tracker 32 Chapter 6 Illustrative Examples 35 6.1: Square sampled-data system with matched input disturbances 36 6.2: Square sampled-data system with mismatched input disturbances 45 6.3: Non-square sampled-data system with mismatched input disturbances and output disturbances simultaneously 53 6.4: Non-square continuous-time system with mismatched input disturbances and output disturbances simultaneously 62 Chapter 7 Conclusion 70 Reference 71

    [1] Benallouch, M., Outbib, R., Boutayeb, M., Laroche, E., “A new scheme on robust unknown input nonlinear observer for PEM fuel cell stack system,” 18th IEEE International Conference on Control Applications, Part of 2009 IEEE Multi-conference on Systems and Control, Saint Petersburg, Russia, pp. 613-618, July 8-10, 2009.
    [2] Chen, M.S., Chen, C.C., “Unknown input observer for linear non-minimum phase systems,” Journal of the Franklin Institute, vol. 347, no. 2, pp. 577-588, 2010.
    [3] Chen, X., Jiao, W., Wu, M., Cao, W., “EID-estimation-based periodic disturbance rejection for sintering ignition process with input time delay,” Asian Journal of Control, vol. 20, no. 3, pp. 1274-1287, 2018.
    [4] Du, Y., Cao, W., She, J., Wu, M., Fang, M., “Disturbance rejection via feedforward compensation using an enhanced equivalent-input-disturbance approach,” Journal of the Franklin Institute, vol. 357, no. 15, pp. 10977-10996, 2020.
    [5] Ebrahimzadeh, F., Tsai, J.S.H., Chung, M.C., Liao, Y.T., Guo, S.M., Shieh, L.S., Wang, L., “A generalized optimal linear quadratic tracker with universal applications − part 2: discrete-time systems,” International Journal of System Science, vol. 48, no. 2, pp. 397-416, 2017.
    [6] Ebrahimzadeh, F., Tsai, J.S.H., Liao, Y.T., Chung, M.C., Guo, S.M., Shieh, L.S., Wang, L., “A generalized optimal linear quadratic tracker with universal applications − part 1: continuous-time systems,” International Journal of System Science, vol. 48, no. 2, pp. 376-396, 2017.
    [7] Feng, J.E., “Finite time functional observers for discrete-time singular systems with unknown inputs,” Proceedings of the 29th Chinese Control Conference, Beijing, China, pp. 65-70, July 29-31, 2010.
    [8] Juang, J.N., Applied System Identification, London: Prentice Hall, 1994.
    [9] Liao, Y.L., An Efficient and Universal EID Estimation Mechanism for Compensation-Improvement of Square/Non-Square Systems with/without Disturbances, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C., Master Thesis, July 2021.
    [10] Liu, X., Zhang, Q., “Robust current predictive control-based equivalent input disturbance approach for PMSM drive,” Electronics, vol. 8, no. 1034, 2019. DOI:10.3390/electronics8091034
    [11] Radke, A., Gao, Z., “A survey of state and disturbance observers for practitioners,” Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, USA, pp. 5183–5188, June 14-26, 2006.
    [12] She, J.H., Fang, M., Ohyama, Y., Hashimoto, H., Wu, M., “Improving disturbance-rejection performance based on an equivalent-input-disturbance approach,” IEEE Transactions on Industrial Electronics, vol. 55, no. 1, pp. 380-389, 2008.
    [13] Tang, D., Chen, L., Hu, E., “A novel unknown-input estimator for disturbance estimation and compensation,” Proceedings of the Australasian Conference on Robotics and Automation, The University of Melbourne, Melbourne, Australia, Dec 2-4 2014.
    [14] Termehchy, A., Afshar, A., “A novel design of unknown input observer for fault diagnosis in non-minimum phase systems,” Proceedings of the 19th World Congress, The International Federation of Automatic Control, Cape Town, South Africa, pp. 8552-8557, August 24-29, 2014.
    [15] Ting, H.C., Chang, J.L., Chen, Y.P., “Proportional-derivative unknown input observer design using descriptor system approach for non-minimum phase systems,” International Journal of Control Automation and Systems, vol. 9, no. 5, pp. 850-856, 2011.
    [16] Trinh, H., Fernando, T., Functional Observers for Dynamical Systems, Springer Science & Business Media, 2011.
    [17] Tsai, J.S.H., Chang, C.Y., Chen, Y.F., Guo, S.M., Shieh, L.S., Canelon, J.I., “A modified functional observer-based EID estimator for unknown sampled-data singular systems,” International Journal of Systems Science, vol. 50, no. 10, pp. 1976-2001, 2019.
    [18] Tsai, J.S.H., Du, Y.Y., Zhuang, W.Z., Guo, S.M., Chen, C.W., Shieh, L.S., “Optimal anti-windup digital redesign of multi-input multi-output control systems under input constraints,” IET Control Theory and Application, vol. 5, no. 3, pp. 447-464, 2011.
    [19] Tsai, J.S.H., Ebrahimzadeh, F., Chung, M.C., Guo, S.M., Shieh, L.S., Tsai, T.J., Wang, L., “Optimal linear quadratic digital tracker for the discrete-time proper system with an unknown disturbance,” World Academy of Science, Engineering and Technology, International Journal of Computer and Information Engineering, vol. 10, no. 5, pp. 929-935, 2016.
    [20] Tsai, J.S.H., Hsu, Y.C., Chen, H.J., Guo, S.M., Shieh, L.S., Canelon, J.I., “PID filter-shaped optimal PI tracker, state estimator, and EID estimator for continuous-time systems,” International Journal of Systems Science, vol. 51, no. 9, pp. 1556-1577, 2020.
    [21] Tsai, J.S.H., Wang, H.H., Guo, S.M., Shieh, L.S., Canelon, J.I., “A case study on the universal compensation-improvement mechanism: A robust PID filter-shaped optimal PI tracker for systems with/without disturbances,” Journal of the Franklin Institute, vol. 355, no. 8, pp. 3583-3618, 2018.
    [22] Tsai, J.S.H., Yu, T.H., Su, T.J., Guo, S.M., Shieh, L.S., Canelon, J.I., “A novel on-line OCID method and its application to input-constrained active fault-tolerant tracker design for unknown nonlinear systems,” International Journal of Systems Science, vol. 50, no. 14, pp. 2632-2662, 2019.
    [23] Wang, J., Chen, L., Xu, Q., “Disturbance estimation-based robust model predictive position tracking control for magnetic levitation system,” IEEE/ASME Transactions on Mechatronics (Accepted for publication), 2021. DOI: 10.1109/TMECH.2021.3058256
    [24] Wu, C.Y., Tsai, J.S.H., Guo, S.M., Shieh, L.S., Canelon, J.I., Ebrahimzadeh, F., Wang, L., “A novel on-line observer/Kalman filter identification method and its application to input-constrained active fault-tolerant tracker design for unknown stochastic systems,” Journal of the Franklin Institute, vol. 352, no. 3, pp. 1119-1151, 2015.
    [25] Yao, X., Zhong, S., “EID-based robust stabilization for delayed fractional-order nonlinear uncertain system with application in memristive neural networks,” Chaos, Solitons and Fractals, vol. 144, no. 110705, 2021. DOI: 10.1016/j.chaos.2021.110705
    [26] Yin, X., She, J., Liu, Z., Wu, M., Kaynak, O., “Chaos suppression in speed control for permanent-magnet-synchronous-motor drive system,” Journal of the Franklin Institute, vol. 357, no. 18, pp. 13283-13303, 2020.

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