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研究生中文姓名:楊書瑋
研究生英文姓名:Yang, Shu-Wei
中文論文名稱:離散時間描述子系統之區域極點設置
英文論文名稱:Regional Pole Placement for Discrete-Time Descriptor Systems
指導教授姓名:容志輝
口試委員中文姓名:教授︰吳政郎
教授︰陶金旺
教授︰許駿飛
教授︰容志輝
學位類別:碩士
校院名稱:國立臺灣海洋大學
系所名稱:電機工程學系
學號:10453071
請選擇論文與海洋研究相關度:無相關
請選擇論文為:學術型
畢業年度:106
畢業學年度:105
學期:
語文別:英文
論文頁數:20
中文關鍵詞:離散系統描述子系統區域極點設置障蔽法控制器設置
英文關鍵字:Discrete-time systemsDescriptor systemsRegional pole placementBarrier methodController design
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在本論文中,我們研究離散時間描述子系統中的區域極點設置的問題,我們提出了一種廣義Riccati方程式,其解將用於設計離散時間描述子系統中的狀態迴授法則。我們也利用障壁法來輔助解具限制條件的最佳化問題,進而達成設計控制器的目的,最後將會提供數值範例來說明結果。
In this thesis, we study the regional pole placement problems for discrete-time descriptor systems. We propose a generalized Riccati equation, which will be used to design state feedback laws for achieving design goal. We also use the barrier method to solve a constrained optimization problem to get a desired controller. Numerical examples are given to illustrate the results.
1.Introduction...........................................1

2.Preliminaries..........................................3
2.1.Generalized Lyapunov Function for Discrete-time
Descriptor Systems.................................3
2.2.Lagrange multiplier method.........................5
2.3.Barrier method.....................................6

3.Regional Pole Placement for Discrete-time Descriptor
Systems................................................8
3.1.Regional Pole Placement............................8
3.2.Controller design with completing the square.......9
3.3.Controller design with barrier method..............11

4.Illustrative Examples..................................13

5.Conclusion.............................................18

References...............................................19
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[2] Bender, D. ”Lyapunov-like equations and reachability/observabiliy gramians for descriptor systems,” IEEE Transactions on Automatic Control, 32(4), 343-348, 1987.
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[5] Mantas, G. P., and Krikelis, N. J. ”Linear quadratic optimal control for discrete descriptor systems,”Journal of Optimization Theory and Applications,61(2),221245, 1989.
[6] Takaba,K.,Morihira,N.,and Katayama,T.”A generalized Lyapunov theorem for descriptor system,” Systems and Control Letters, 24(1), 49-51, 1995.
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[9] Masubuchi, I., Kamitane, Y., Ohara, A., and Suda, N. ”H-infinity control for descriptor systems: a matrix inequalities approach,” Automatica, 33(4), 669-673, 1997.
[10] Kawamoto, A., Takaba, K., and Katayama, T. ”On the generalized algebraic Riccati equation for continuous-time descriptor systems,” Linear Algebra and Its Applications, 296(1-3), 1-14, 1999.
[11] Fridman, E., and Shaked, U. A descriptor system approach to H-infinity control of linear time-delay systems,” IEEE Transactions on Automatic Control, 47(2), 253-270, 2002.
[12] Zhang, Q. L., Liu, W. Q., and Hill, D. ”A Lyapunov approach to analysis of discrete singular systems,” Systems and Control Letters, 45(3), 237-247, 2002.
[13] Castelan, E. B., Silva, A. S., Villarreal, E. R. L., and Tarbouriech, S. ”Regional pole placement by output feedback for a class of descriptor systems,” IFAC Proceedings Volumes, 35(1), 101-106.
[14] Ishihara, J. Y., and Terra, M. H. ”A new Lyapunov equation for discrete-time descriptor systems,” In American Control Conference, 6, 5078-5082, 2003.
[15] Darouach, M. ”Solution to Sylvester equation associated to linear descriptor systems,” Systems and Control Letters, 55(10), 835-838, 2006.
[16] Bai, J., Su, H., Wang, J., and Shi, B. ”On pole placement in LMI region for descriptor linear systems,”International Journal of Innovative Computing,Information and Control, 8(4), 2613-2624, 2012.
[17] 吳政郎。具多重目標控制問題的障壁解法。國立臺灣科技大學電機工程研究所博士學位論文,台北,1996。
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