強健時延正向系統之穩定度分析與控制器設計

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姓名

吳鎧融(Kai-Jung Wu) 查詢紙本館藏

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電機工程學系

論文名稱

強健時延正向系統之穩定度分析與控制器設計
(Stability Analysis and Controller Design for Robust Time-Delay Positive Systems)

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摘要(中)

本論文係研究具有時間延遲的正向系統之穩定性分析及穩定化控制設計，研究的範疇為連續性的時間延遲系統。系統中的強健穩定度是一個良好的系統所必須要具備的。此外，在實際的系統中，另一個值得注意的問題是時間延遲的問題。由於實際系統中，狀態的傳遞需要時間，必然會有時間延遲的發生，而系統中含有區間不確定量因子，是本文的主要探討。
我們針對正向性與穩定性問題，推導出新穎且簡易的充分與必要條件，基於此條件設計出狀態回授控制器，便可確保系統之正向性與穩定性，再以前述之分析結果，利用線性規劃方法來尋找最佳化的控制器參數。最後以時間延遲的正向系統為數值範例分析，對此系統設計控制器，討論補償前與補償後系統性能之差異，經由模擬結果顯示，所設計的控制器是有效且適用的。

摘要(英)

This thesis is concerned with stability and stabilization of time-delay interval and polytopic systems of the positivity constraints. Continuous-time time-delay system is discussed. The robust stability in the systems is a must for a good system. In addition, in the actual systems, another issue worth noting is the problem of time-delay. Due to the time required for the transmission of state in the actual systems, there will inevitably be a time-delay, and the system contains an interval uncertainty factor, which is the main discussion in this thesis.
For positive and stability analysis problems of systems, we derive some new sufficient and necessary conditions. Then based on these conditions, a linear programming method is applied to design controllers. Several examples, including practical examples and compartmental systems are given to demonstrate the effectiveness and applicability of the proposed methods.

關鍵字(中)

★ 正向系統
★ 時延系統
★ 區間系統
★ 多面體系統

關鍵字(英)

論文目次

目錄
摘要 I
Abstract II
致謝 III
目錄 IV
圖目錄 VI
第一章緒論 1
1.1 研究動機 1
1.2 論文架構 2
第二章符號與定理 3
2.1 符號 3
2.2 時延正向線性系統 3
2.3 Metzler矩陣 4
2.4 漸近穩定 4
2.5 連續時間時延正向線性系統 6
2.6 Lyapunov’s Direct Method 6
2.7 線性規劃 7
2.8 結論 9
第三章連續時間時延區間正向系統之穩定度分析與控制器設計 10
3.1 連續時間時延區間正向系統之穩定度分析 10
3.2 連續時間時延區間正向系統之控制器設計 15
3.3 舉例說明 20
3.4 結論 26
第四章連續時間時延多面體正向系統之穩定度分析與控制器設計 27
4.1 連續時間時延多面體正向系統之穩定度分析 27
4.2 連續時間時延多面體正向系統之控制器設計 31
4.3 舉例說明 44
4.4 結論 50
第五章分隔系統之穩定性問題 51
5.1 分隔系統概述 51
5.2 分隔系統之穩定性 52
5.3 結論 58
第六章總結與未來展望 59
參考文獻 60

參考文獻

參考文獻
[1] T. Kaczorek, “Stabilization of positive linear systems,” Proceedings of the 37th IEEE Conference on Decision and Control, pp. 620-621, 1998.
[2] T. Kaczorek, “Stabilization of positive linear system by state-feedback,” Pomiary, Automatyka, Kontrola, vol. 3, pp. 2-5, 1999.
[3] P. D. Leenheer and D. Aeyels, “Stabilization of positive linear system,” Systems & Control Letters, vol. 44, no.4, pp. 259-271, 2001.
[4] M. A. Rami, U. Helmke, and F. Tadeo, “Positive observation problem for time-delays linear positive systems,” in Proc. 15th Mediterranean Conf. Control and Automation, Athens, Greece, pp. 1-6, 2007.
[5] T. Kaczorek, “Stability of positive continuous-time linear systems with delays,” Proceedings of the European Control Conference 2009, Budapest, Hungary, August 23–26, 2009.
[6] F. E. Sarabi, H. Khatibi, and H. R. Momeni, “Robust Stability Analysis and Synthesis of Linear Time-Delay Systems via LMIs,” 49th IEEE Conference on Decision and Control, Hilton Atlanta Hotel, Atlanta, GA, USA, 2010.
[7] M. A. Rami and F. Tadeo, “Controller synthesis for positive linear systems with bounded controls,” IEEE Transactions on Circuits and Systems Ⅱ, vol. 54, no. 2, pp. 151-155, 2007.
[8] B. Roszak and E. J. Davison, “Necessary and sufficient conditions for stabilizability of positive LTI systems,” Systems & Control Letters, vol. 58, pp. 474-481, 2009.
[9] Z. Shu, J. Lam, H. Gao, B. Du, and L. Wu, “Static State-Feedback Controller and Observer Design for Interval Positive Systems with Time Delay,” IEEE Transactions on Circuits and Systems Ⅰ, vol. 55, no. 10, pp. 3209-3222, 2008.
[10] I. Zaidi, M. Chaabane, F. Tadeo, and A. Benzaouia, “Static State-Feedback Controller and Observer Design for Interval Positive Systems With Time Delay,” IEEE Transactions on circuits and systems II: EXPRESS BRIEFS, vol. 62, no. 5, MAY 2015.
[11] P. Ling, J. Lam, and Z. Shu, “Positive observers for Positive interval linear discrete-time delay systems,” Proceedings of 48th IEEE Conference on Decision Control, pp. 6107-6112, Shanghai, P.R., China, 2009.
[12] X. Liu, “Stability analysis of switched positive systems: A switched linear copositive Lyapunov function method,” IEEE Transactions on Circuits and Systems Ⅱ, vol. 56, no. 5, pp. 414-418, 2009.
[13] O. Mason and R. Shorten, “Some results on the stability of positive switched linear systems,” Proceedings of 43rd Conference on Decision and Control, 2004, pp. 4601-4606.
[14] O. Mason and R. Shorten, “The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem,” Electronic Journal of Linear Algebra, vol. 12, pp. 42-63, 2005.
[15] O. Mason and R. Shorten, “Quadratic and copositive Lyapunov functions and the stability of positive switched linear systems,” Proceedings of 2007 American Control Conference, pp. 657-662, 2007.
[16] W. M. Haddad and V. Chellaboina, “Stability theory for nonnegative and compartmental dynamical systems with time delay,” Systems and Control Letters, vol. 51, no. 5, pp. 355-361, 2004.
[17] L.Farina and S. Rinaldi, “Positive Linear Systems: Theory and Applications,” New York:Wiley, 2000.
[18] X. Liu, L. Wang, W. Yu, and S. Zhong, “Constrained control of positive discrete-time systems with delays,” IEEE Transactions on Circuits Systems II, vol. 55, no. 2, pp. 193-197, Febuary 2008.
[19] M. A. Rami, F. Tadeo, and A. Benzaouia, “Control of constrained positive discrete systems,” in Proc. 2007 American Control Conf. New York, 2007.
[20] M. A. Rami and F. Tadeo, “Controller synthesis for positive linear systems with bounded controls,” IEEE Transactions on Circuits Systems II, vol. 54, no. 2, pp. 151-155, February 2007.
[21] X. Liu, “Constrained control of positive systems with delays,” IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1596-1600, 2009.
[22] X. Liu, “Constrained control of positive systems with delays,” IEEE Transactions on Automatic Control, vol. 54, no. 7, July 2009.
[23] A. Hmamed, A. Benzaouia, M.A. Rami, and F. Tadeo, “Memoryless control to drive states of delayed continuous-time systems within the nonnegative orthant,” in Proc. 17th World Cong. Seoul, Korea, 2008.
[24] I. Zaidi, M. Chaabane, F. Tadeo, “Design of Robust Observers for Positive Delayed Interval Systems,” 2014 IEEE 11th International Multi-Conference on Systems, Signals & Devices (SSD14), vol. 52, no. 9, pp. 1-7, 2014.
[25] M. Busłowicz and T. Kaczorek, “Robust stability of positive discrete-time interval systems with time-delays,” Bulletin of The Polish Academy of Sciences: Technical Sciences, vol.52, no.2, 2004.
[26] C. Chen, X. Guan and G. Feng, “Robust Stability Analysis for Uncertain Time-delay Systems based on Polyhedral Lyapunov-Krasovskii Functional,” 2004 8th International Conference on Control, Automation, Robotics and Vision Kunming, China, 68th December 2004.
[27] Y. Chen, S. Fei, and Y. Li, “Robust Stabilization for Uncertain Saturated Time-Delay Systems: A Distributed-Delay-Dependent Polytopic Approach,” IEEE Transactions on automatic control, 2017.
[28] L. LEE, J. S. CHEN, “Delay-Dependent Robust Stability and Stabilization for Polytopic Systems with Time-Varying Delay,” Proceedings of the 30th Chinese Control Conference July 22-24, Yantai, China , 2011.
[29] K. Moezzi and A. G. Aghdam, “Stability Analysis of Switched Time-Delay Systems with Polytopic Uncertainties,” IEEE Conference on Decision and Control, Hilton Atlanta Hotel, Atlanta, GA, USA, 2010.
[30] C. Shen, Y. Ban, G. M. Dimirovski, Senior Member, IEEE and Y. W. Jing, “Robust Delay-Dependent Stability and Stabilization of Polytopic Systems With Time-Delay and Its Application to Flight Control,” 2008 American Control Conference, USA June 11-13, 2008.
[31] T. Kaczorek, Positive 1D and 2D systems: Springer Science & Business Media, 2012.
[32] H. Minc, Nonnegative Matrices, New York: Wiley, 1987. D. G. Luenberger, Introduction to Dynamic Systems, New York: Wiley, 1979.
[33] D. G. Luenberger, Introduction to Dynamic Systems, New York: Wiley, 1979.
[34] L. J. Liu, Z. Chenglong, L. Zhiqiang, “Robust Stabilization for Constrained Switched Positive Linear Systems with Uncertainties and Delays,” 2017 29th Chinese Control And Decision Conference (CCDC), pp. 2459 - 2464, 2017.
[35] P. D. Berk, J. R. Bloomer, and R. B. Howe, “Constitutional hepatic dysfunction (Gilbert’s syndrome),” The American Journal of Medicine, vol49, no. 3, pp.296-305, 1970.
[36] J. A. Jacquez, Compartmental Analysis in Biology and Medicine, Ann Arbor, MI: Univ. Michigan Press, 1985.
[37] H. CASWELL, MATRIX POPULATION MODEL: CONSTRUCTION, ANALYSIS AND INTERPRETATION, SUNDERLAND, MA: SINAUER ASSOC., 2001.
[38] J. SHEN, J. LAM, “Constrained Control of Switched Positive Systems with Discrete and Distributed Delays,” Proceedings of the 33rd Chinese Control Conference, Nanjing, China, 2014.
[39] H. K. Khalil, Nonlinear Systems, third ed., Upper Saddle River, NJ: Prentice-Hall, Inc., 2002.
[40] M. Vidyasagar, Nonlinear Systems Analysis, New Jersey: Prentice-Hall, Inc., 2000.
[41] J. E. Slotine and W. Li, Applied Nonlinear Control, Englewood Cliffs, NJ: Prentice-Hall, Inc., 1991.
[42] T. Coleman, M. Branch, and A. Grace, Optimization Toolbox for Use with Matlab, Natick, MA: The Math Works Inc., 1999.
[43] V. Chellaboina, W. M. Haddad, J. Ramakrishnan and T. Hayakawa, “Adaptive Control for Nonnegative Dynamical Systems with Arbitrary Time Delay” Proceedings of the 2006 American Control Conference, Minneapolis, MinnesotaUSA, 2006.
[44] Q. Hui, W. M. Haddad, V. Chellaboina, and T. Hayakawa, “Adaptive Control of Mammillary Drug Delivery Systems with Actuator Amplitude Constraints and System Time Delays,” 2005 American Control Conference, Portland, USA, 2005.
[45] C. Shen, Y. Ban, G. M. Dimirovski, Senior Member, IEEE and Y. W. Jing, “Robust Delay-Dependent Stability and Stabilization of Polytopic Systems With Time-Delay and Its Application to Flight Control,” 2008 American Control Conference, USA June 11-13, 2008.
[46] B. Shafai, A. Oghbaee and T. Tanaka, “Positive Stabilization with Maximum Stability Radius for Linear Time-Delay Systems,” IEEE Conference on Decision and Control, Los Angeles, California, USA, 2014.
[47] X. Liu, “Constrained Control of Positive Systems with Delays,” IEEE Transactions on automatic control, vol. 54, no.7, July 2009.
[48] Y. Rui, P. Daowu, “Robust Stabilization of Uncertain Descriptor System with Interval Time-Varying State and Input Delays,” China, 2012.
[49] W. M. Haddada, V. Chellaboin, “Stability theory for nonnegative and compartmental dynamical systems with time delay,” accepted 8 September 2003.
[50] J. M. van den Hof, “Structural Identiﬁability of Linear Compartmental Systems,” IEEE Transactions on automatic control, vol. 43, no. 6, June, 1998.

指導教授

莊堯棠(Yao-Tang Chung)

審核日期

2018-6-25

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