| 研究生: |
林家維 Lin, Chia-Wei |
|---|---|
| 論文名稱: |
適用於某類多變數非線性系統之穩定性控制器法及其應用 Stabilizing Control for Some Multivariable Nonlinear Systems and Its Applications |
| 指導教授: |
李祖聖
Li, Tzuu-Hseng S. |
| 學位類別: |
博士 Doctor |
| 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: | 2016 |
| 畢業學年度: | 105 |
| 語文別: | 英文 |
| 論文頁數: | 99 |
| 中文關鍵詞: | 前饋類神經網路 、回授線性化研究法 、幾乎雜訊消除 、雙螺旋系統 、衛星系統 、雙倒單擺大尺寸系統 |
| 外文關鍵詞: | Feedforward neural network, feedback linearization approach, almost disturbance decoupling, twin rotor system, satellite system, two-inverted-pendulum large-scale system |
| 相關次數: | 點閱:110 下載:2 |
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本論文探討使用回授線性化的方法,解決非線性系統控制問題。回授線性化的方法主要將非線性系統轉換成等效線性系統後,再使用傳統線性系統技巧來解決問題。本項研究提出了一種新穎的回授線性化與前饋類神經網路控制器獲得幾乎雜訊消除的效能。此外,經由本文提出的複合式里亞普諾應用方法,可驅動系統軌跡進入全域終極吸子而獲得終極均勻有界穩定度。設計回授線性化與前饋類神經網路控制器之整合控制器解決對象包含單輸入單輸出及多輸入多輸出非線性系統。對整個閉迴路系統給定初始條件下,本論文所提出的控制定律,可使得系統指數全域穩定且同時獲得可幾乎雜訊消除效能。而且,如果提出的充分條件被滿足,則所提出新的方法將驅動整個系統的軌跡誤差進入全域終極吸子,再調整權重以提高性能達到幾乎雜訊消除效能。將本論文所發展的定律應用到實務非線性系統上,包含雙螺旋槳多輸入多輸出系統、衛星系統及雙倒單擺大尺寸系統。實驗模擬結果顯示,所提供研究法可以成功的快速收斂穩定及具幾乎雜訊消除效果。
This dissertation investigates feedback linearization method for nonlinear systems. The main part of feedback linearization method is to transform the nonlinear system into an equivalent linear system, and then traditional linear techniques are applied to solve it. This dissertation proposes a novel feedback linearization and feedforward neural network controller design to achieve almost disturbance decoupling (ADD) performance. In addition, the composite Lyapunov approach is utilized to drive the system trajectories into the global attractor and achieve the ultimately uniform bounded stability. Feedback linearization and feedforward neural network integrated controller are designed for both single-input single-output and multi-input multi-output nonlinear systems. The control law is proposed to achieve a global exponential stability and almost disturbance decoupling performance for overall closed loop system with given initial conditions. Moreover, if some sufficient conditions is satisfied, the proposed controller will drive the entire errored system into the global attractor, and then adjust the weights to improve the almost disturbance decoupling performance performances. The proposed control methodology has been successfully applied to practical nonlinear systems including the twin rotor multi-input multi-output system (TRMMS), the satellite system, and the two-inverted-pendulum large-scale system. Simulations show that the proposed methodology has been successfully applied to give fast convergence with ADD performance of the overall system.
[1] M. S. Ali, H. R. Pota and M. A. Mahmud, “Stability analysis of grid-connected photovoltaic systems using a linear zero dynamic controller,” 2013 IEEE 8th Conference on Industrial Electronics and Applications, pp. 628-633, 2013.
[2] W. Bian and X. Xue, “Neural Network for Solving Constrained Convex Optimization Problems With Global Attractivity,” IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 60, No. 3, pp. 710-723, 2013.
[3] A. Bidram, A. Davoudi, F. L. Lewis, and J. M. Guerrero, “Distributed cooperative secondary control of microgrids using feedback linearization,” IEEE Transactions on Power Systems, Vol. 28, No. 3, pp. 3462-3470, 2013.
[4] G. B. Cai, L. L. Lv, H. F. He, “Periodic lyapunov equation based approach to semi-global almost disturbance decoupling of continuous-time periodic linear systems subject to Input saturation,” Proceedings of the 34th Chinese control conference, pp.166–170, 2015.
[5] C. H. Chen, T. K. Yao, and C. M. Kuo, “Wide-angle camera distortion correction using neural back mapping,” 2013 IEEE 17th International Symposium on Consumer Electronics, pp. 171-172, 2013.
[6] M. Chen and J. Yu, “Disturbance Observer-Based Adaptive Sliding Mode Control for Near-Space Vehicles ,” Nonlinear Dynamics, Vol. 82, pp.1671-1682, 2015.
[7] T. Chen and Y. C. Wang, “An Agent-Based Fuzzy Collaborative Intelligence Approach for Precise and Accurate Semiconductor Yield Forecasting,” IEEE Transactions on Fuzzy Systems, Vol. 22, No. 1, pp. 201-211, 2014.
[8] C. G. Claudel, T. Chamoin, and A. M. Bayen, “Solutions to estimation problems for Scalar Hamilton-Jacobi equations using linear programming,” IEEE Transactions on Control Systems Technology, 2013.
[9] D. Chwa, “Tracking control of diffrential-drive wheeled mobile robots using a backstepping-like feedback linearization,” IEEE Transactions on Systems, Man, and Cybernetics, Part A, Vol. 40, No. 6, pp. 1285-1295, 2010.
[10] R. D. Driver, Ordinary and Delay Differential Equations, Springer, New York, NY, USA, 1977.
[11] M. Ertugrul, O. Kaynak, “Neuro sliding mode control of robotic manipulators,” 8th International Conference on Advanced Robotics, pp. 951-956, 1997.
[12] S. M. J. R. Fatemi, N. R. Abjadi, J. Soltani, “Speed sensorless control of a six-phase induction motor drive using backstepping control,” IET Power Electronics, pp. 114-123, Vol. 7, 2014.
[13] J. Fei and Z. Yuan, “Dynamic sliding mode control of MEMS gyroscope,” 2013 IEEE International Conference, India, Aug. pp. 437-442, 2013.
[14] H. Gao, T. Chen, and J. Lam, “A new delay system approach to network-based control,” Automatica, Vol. 44, No. 1, pp. 39-52, 2008.
[15] S. Gopalswamy and J. K. Hedrick, “Tracking nonlinear nonminimum phase systems using sliding control,” International Journal of Control, Vol. 57, No. 5, pp. 1141-1158, 1993.
[16] A. H. G’orecki, S. Fuksa, P. Grabowski, and A. Korytowski, “Analysis and Synthesis of Time Delay Systems,” New York: John Willey, 1989.
[17] P. Guan, X. J. Liu and J. Z. Liu, “Flexible satellite attitude control via sliding mode technique,” Proceedings of the IEEE Conference on Decision and Control, Seville Spain, 12-15 December, pp. 1258-1 263, 2005.
[18] H. Gui, G. Vukovich and S. Xu, “Attitude tracking of a rigid spacecraft using two internal torques,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 51, No. 4, pp 2900-2913, 2015.
[19] Y. Guo, S. H. Hosseini, C. Y. Tang, J. N. Jiang, and R. G. Ramakumar, “An approximate wind turbine control system model for wind farm power control,” IEEE Transactions on Sustainable Energy, Vol. 4, No. 1, pp. 262-274, 2013.
[20] Z. Hao, K. Fujimoto, Y. Hayakawa, “Approximate solutions to the Hamilton-Jacobi equations for generating functions: The general cost function case,” 2013 9th Asian Control Conference, pp. 1-6, 2013.
[21] A. Hamadi, S. Rahmani, and K. Al-Haddad, “Digital control of a shunt hybrid power fiter adopting a nonlinear control approach,” IEEE Transactions on Industrial Informatics, Vol. 9, No. 4, pp. 2092-2104 , 2013.
[22] F. Henrotte, H. Heumann, E. Lange, and K. Hameyer, “Upwind 3-D vector potential formulation for electromagnetic braking simulations,” IEEE Transactions on Magnetics, Vol. 46, No. 8, pp. 2835-2838, 2010.
[23] A. Isidori , “ Nonlinear control system, ” Springer Verlag: New York, 1989.
[24] A. Isidori, “ control via measurement feedback for affine nonlinear systems,” International Journal of Robust Nonlinear Control , No. 4, pp. 553-574, 1994.
[25] Ji Y, Zhou H and Zong Q, “ISPS-modular command-filtered adaptive back-stepping control of non-linearly parameterized pure-feedback systems,” Transactions of the Institute of Measurement and Control , Vol. 38, No. 2, pp. 232–239, 2016.
[26] X. Jiang, Q.-L. Han, S. Liu, and A. Xue, “A new stabilization criterion for networked control systems,” IEEE Transactions on Automatic Control, Vol. 53, No. 4, pp. 1025-1032, 2008.
[27] H. K. Khali, Nonlinear Systems, Prentice-Hall, Upper Saddle River, NJ, USA, 1996.
[28] H. K. Khalil, “ Nonlinear systems, ”Prentice-Hall: New Jersey, 1996.
[29] K. Khorasani and P. V. Kokotovic, “A corrective feedback design for nonlinear systems with fast actuators,” IEEE Trans. Automat. Contr., Vol. 31, pp. 67-69, 1986.
[30] S. Kumarawadu, K. Watanabe, K. Izumi and K. Kiguchi, “Neural network-based optimal adaptive tracking using genetic algorithms,” Asian Journal of Control, Vol. 8, No. 4, pp. 372-384, 2006.
[31] S. Kunimatsu, M. Ishitobi, and T. Fujii, “Decentralized PID control for systems with relative degree no more than 2,” in Proceedings of the SICE Annual Conference, pp.1106-1109, 2012.
[32] W. H. Kwon and A. E. Pearson, “Feedback stabilization of linear systems with delayed control,” IEEE Transactions on Automatic Control, Vol. 25, No. 2, pp. 266-269, 1980.
[33] C. Li, G. Ma and B. Song, “Spacecraft attitude tracking control based on nonlinear control,” in Proceedings of the 1 st IEEE International Symposium on Systems and Control in Aeronautics and Astronautics ISSCAA, pp. 395-399, 2006.
[34] T. H. S. Li, C. J. Huang and C. C. Chen, “Almost disturbance decoupling control of MIMO nonlinear system subject to feedback linearization and feedforward neural network: application to half-car active suspension system,” International Journal of Automotive Technology, Vol. 11, No. 4, pp. 581-592, 2010.
[35] Y. Li, S. Tong and T. T. Li, “Adaptive Fuzzy Decentralized Control for Nonlinear Time-Delay Large-Scale Systems Based on DSC Technique and High-Gain Filters,” International Journal of Fuzzy Systems, Vol. 15, No. 3, pp. 335-346, 2013.
[36] Y. H. Liu, N. R. Watson, K. L. Zhou, and B. F. Yang, “converter system nonlinear modelling and control for transmission applications-part II: CSC systems,” IEEE Transactions on Power Delivery, Vol. 28, No. 3, pp. 1391-1401, 2013.
[37] X. Liu and Z. Lin, “Further results on disturbance attenuation for multiple input multiple output nonlinear systems,” in Proceedings of the American Control Conference (ACC ’10), pp.6342-6347, 2010.
[38] Y. Lou, H. Meng, J. Yang, Z. Li, J. Gao and X. Chen, “Task Polar Coordinate Frame-Based Contouring Control of Biaxial Systems,” IEEE Transactions on Industrial Electronics, Vol. 61, No. 7, pp. 3490-3501, 2014.
[39] M. López. Martínez, C. Vivas and M. G. Ortega, “A Multivariable Nonlinear Controller for a Laboratory Helicopter,” IEEE Conference on Decision and Control, pp. 4065-4070, 2005.
[40] M. A. Mahmud, H. R. Pota, M. J. Hossain and N. K. Roy, “Robust Partial Feedback Linearizing Stabilization Scheme for Three-Phase Grid-Connected Photovoltaic Systems,” IEEE Journal of Photovoltaics, Vol. 4, No. 1, pp. 423-431, 2014.
[41] R. Marino and P. V. Kokotovic, “A geometric approach to nonlinear singularly perturbed systems,” Automatica, Vol. 24, pp. 31-41, 1988.
[42] R. Marino, W. Respondek and A. J. Van Der Schaft, “Almost disturbance decoupling for single input single-output nonlinear systems,” IEEE Transactions on Automatic Control, Vol. 34, No. 9, pp.1013-1017, 1989.
[43] R. Marino and P. Tomei, “Nonlinear output feedback tracking with almost disturbance decoupling,” IEEE Transactions on Automatic Control, Vol. 44, No. 1, pp. 18-28, 1999.
[44] R. K. Miller and A. N. Michel, Ordinary differential equations. New York: Academic Press, 1982.
[45] B. B. Musmade and B. M. Patre, “Sliding mode control design for robust regulation of time-delay processes,” Transactions of the Institute of Measurement and Control, Vol. 37, No. 6, pp.699-707, 2015.
[46] N. Nasiri, H. Sadjadian, and A. Mohammad, “Voltage-based control of a flxible-joint electrically driven robot using backstepping approach,” In Proceedings of the 4th Power Electronics, Drive Systems and Technologies Conference, pp. 541-546, Tehran, Iran, February 2013.
[47] P. H. A. Ngoc, “Stability of positive diffrential systems with delay,” IEEE Transactions on Automatic Control, Vol. 58, No. 1, pp. 203-209, 2013.
[48] L. Paunonen and S. Pohjolainen, “Reduced order internal models in robust output regulation,” IEEE Transactions on Automatic Control, Vol. 58, No. 9, pp. 2307-2318, 2013.
[49] C. D. Persis, T. N. Jensen, R. Ortega, and R. Wisniewski, “Output regulation of large-scale hydraulic networks,” IEEE Transactions on Control Systems Technology, Vol. 6, No. 1, pp. 1-19, 2013.
[50] D.G. Prasad, P. S. Manoharan and A. P. S. Ramalakshmi, “PID control scheme for twin rotor MIMO system using a real valued genetic algorithm with a predetermined search range,” 2013 International Conference on Power, Energy and Control, pp. 443-448, 2013.
[51] C. Qian and W. Lin, “Almost disturbance decoupling for a class of high-order nonlinear systems,” IEEE Transactions on Automatic Control, Vol. 45, No. 6, pp. 1208-1214, 2000.
[52] M. Qin and J. Xu, “Improved pulse regulation control technique for switching DC-DC converters operating in DCM,” IEEE Transactions on Industrial Electronics, Vol. 60, No. 5, pp. 1819-1830, 2013.
[53] B. Rahmani and A. H. D. Markazi, “Variable selective control method for networked control systems,” IEEE Transactions on Control Systems Technology, Vol. 21, No. 3, pp. 975-982, 2013.
[54] S. M. J. Rastegar Fatemi, N. R. Abjadi, J. Soltani and S. Abazari, “Speed sensorless control of a six-phase induction motor drive using backstepping control,” IET Power Electronics, Vol. 7, No. 1, pp. 114-123, 2014.
[55] G. Sari, O. Akhrif and L. Saydy, “Robust passivity-based surge control of compressors via feedback linearization,” Asian Control Conference, pp. 1-5, 2013.
[56] D. K. Saroj, I. Kar, V. K. Pandey, “Sliding mode controller design for Twin Rotor MIMO system with a nonlinear state observer,” International Multi-Conference on Automation, Computing, Communication, Control and Compressed Sensing, pp. 668-673, 2013.
[57] M. Saeki and Y. Sakaue, “Flight control design for a nonlinear non-minimum phase VTOL aircraft via two-step linearization,” In Proceedings of the 40th IEEE Conference on Decision and Control, pp. 217-222, 2001.
[58] Q. Song , J. Xiao and Y. C. Soh, “Robust backpropagation training algorithm for multilayered neural network,” IEEE Transaction on Neural Network, Vol. 10, No. 5, pp. 1133-1141, 1999.
[59] J. P. Su, C. C. Wang, “ Fuzzy gain-scheduled integral control and its application to a twin rotor system,” International Journal of Fuzzy Systems, Vol. 2, No. 3, pp. 205-219, 2000.
[60] B. Sun, D. Zhu and S. X. Yang, “A Bioinspired Filtered Backstepping Tracking Control of 7000-m Manned Submarine Vehicle,” IEEE Transactions on Industrial Electronics, Vol. 61, No. 7, pp. 3682-3693, 2014.
[61] S. F. Toha and M. O. Tokhi, “ANFIS modeling of a twin rotor system using particle swarm optimization and RLS,” 2010 IEEE 9th International Conference on Cybernetic Intelligent Systems, pp. 1-6, 2010.
[62] M. P. Topland, “Nonlinear attitude control of the microsatellite ESEO,” Master thesis, Department of Engineering Cybernetics, Norwegian University of Science and Technology, 2004.
[63] H. Trinh and M. Aldeen, “ Output tracking for linear uncertain time-delay systems,” IEE Proceedings-Control Thory and Applications, Vol. 143, No. 6, pp. 481-488, 1996.
[64] F. Wang, Q. Zong, Q. Dong and B. Tian, “Disturbance observer-based sliding mode backstepping control for a re-entry vehicle with input constraint and external disturbance,” Transactions of the Institute of Measurement and Control, Vol. 38, No. 2, pp. 165-181, 2016.
[65] S. Weiland and J. C. Willems, “Almost disturbance decoupling with internal stability,” IEEE Trans. Automat. Contr., Vol. 34, No. 3, pp. 277-286, 1989.
[66] J. C. Willems, “Almost invariant subspaces: an approach to high gain feedback design. I. Almost controlled invariant subspaces,” IEEE Transactions on Automatic Control, Vol. 26, No. 1, pp. 235-252, 1981.
[67] J. Yang, J. Tan, Z. Shu, and L. Chen, “Approximate variable structure control for transient load in large hydraulic press,” in Proceedings of the 5th International Conference on Measuring Technology and Mechatronics Automation, pp. 310-312, 2013.
[68] J. Yang, X. Zeng, S. Zhong and S. Wu, “Effective Neural Network Ensemble Approach for Improving Generalization Performance,” IEEE Transactions on Neural Networks and Learning Systems, Vol. 24, No. 6, pp. 878-887, 2013.
[69] H. A. Yousef, K. AL-Kharusi, M. H. Albadi and N. Hosseinzadeh, “Load Frequency Control of a Multi-Area Power System: An Adaptive Fuzzy Logic Approach,” IEEE Transactions on Power Systems, Vol. 29, No. 4, pp. 1822-1830, 2014.
[70] Y. Yu , G. Lu, C. Sun and H. Liu, “Robust Backstepping Decentralized Tracking Control for A 3-DOF Helicopter,” Nonlinear Dynamics, Vol. 82, pp. 947-960, 2015.
[71] Y. J. Yu, Z. H. Yang and J. C. Fang, “Medium-frequency disturbance attenuation for the spacecraft via virtual-gimbal tilting of the magnetically suspended reaction wheel,” IET Control Theory & Applications, Vol. 9, No. 7, pp 1066-1074, 2015.
[72] D. Yue, E. Tian, and Q. L. Han, “A delay system method for designing event-triggered controllers of networked control systems,” IEEE Transactions on Automatic Control, Vol. 58, No. 2, pp. 475-481, 2013.
[73] W. Zhang, B. S. Chen, H. Tang, L. Sheng and M. Gao, “Some Remarks on General Nonlinear Stochastic Control With State, Control, and Disturbance-Dependent Noise,” IEEE Transactions on Automatic Control, Vol. 59, No. 1, pp. 237-242, 2014.
[74] J. Zhang, K. Ma, G. Meng and S. Tian, “Spacecraft maneuvers via singularity-avoidance of control moment gyros based on dual-mode model predictive control,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 51, No. 41, pp2546 - 2559, 2015.
[75] B. Zhao, J. Wang, M. Li, F. Wu and Y. Pan, “Detecting Protein Complexes Based on Uncertain Graph Model,” IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 11, No. 3, pp. 486-497, 2014.
[76] Z. Zhong and J. Wang, “Looper-tension almost disturbance decoupling control for hot strip fiishing mill based on feedback linearization,” IEEE Transactions on Industrial Electronics, Vol. 58, No. 8, pp. 3668-3679, 2011.
[77] Q. Zhou, P. Shi, S. Xu, and H. Li, “Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach,” IEEE Transactions on Fuzzy Systems, Vol. 21, No. 2, pp. 301-313, 2013.
[78] Q. Zhu and P. Zhang, “A novel reaching law based on integral sliding mode control of permanent magnet synchronous motors,” 2013 25th Chinese Control and Decision Conference, pp. 4646-4651, 2013.
[79] L. Zilong, J. Chenfei, L. Jie and W. Yagang, “Cascaded feedback linearization tracking control of nonholonomic mobile robot,” 2013 32nd Chinese Control Conference, pp. 4232-4237, 2013.
[80] R. Zou and M. Malabre, “Solution of the Almost Disturbance Decoupling Problem by state feedback,” 2012 31st Chinese Control Conference, pp. 273-278, 2012.