博碩士論文 87323048 詳細資訊


姓名 郭毓娟(Yu-Jung Guo)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 雙線性系統之控制設計
(Stabilizing Controllers for Bilinear System)
檔案 [檢視]  [下載]
  1. 本電子論文使用權限為同意立即開放。
  2. 已達開放權限電子全文僅授權使用者為學術研究之目的,進行個人非營利性質之檢索、閱讀、列印。
  3. 請遵守中華民國著作權法之相關規定,切勿任意重製、散佈、改作、轉貼、播送,以免觸法。

摘要(中) 本篇論文研究對於連續雙線性系統的控制器設計。我們提出的控制器設計分成兩大類來討論:第一類是GSAS控制,在我們的設計下,雙線性系統透過此類控制可以達到漸進穩定;第二類是指數控制,透過此類的控制雙線性系統可以達到指數穩定。而這兩類的控制器我們分別以非連續性、連續性、平滑性三種控制形態來討論。
關鍵字(中) ★ 雙線性系統
★ 控制器設計
★ 漸進穩定
★ 指數穩定
關鍵字(英)
論文目次 Content
Figure List……………………………………………………………. ...V
Abstract……………………………………………………………………VII
1 Introduction………………………………………………………………1
2 The Reachability of Dyadic Bilinear Systems………………………3
2.1 The Concerned system…………………………………………………4
2.2 The Reachability of Dyadic Bilinear Systems……………………5
2.2.1 Introduction……………………………………………………...5
2.2.2 Preliminaries………………………………………………….…6
2.2.3 Reachability of Dyadic Bilinear Systems……………………9
2.2.4 Conclusion…………………………………………………….13
3 GSAS Control Laws……………………………………………………..14
3.1 Discontinuously GSAS Control.…………..……………………..14
3.1.1 Control Law…………………………………………………..…14
3.1.2 Stability Analysis……………………………………………15
3.1.3 Example Simulation………………………..…………………19
3.2 Continuously GSAS Control….……………………………..………21
3.2.1 Control Law…………………………………..………………..21
3.2.2 Stability Analysis……………………………………………..21
3.2.3 Example Simulation……………………………..…………..26
3.3 Smoothly GSAS Control.…………………...…………….…………28
3.3.1 Control Law………………………………………………..……28
3.3.2 Stability Analysis…………….………………………………28
3.3.3 Example Simulation……………………………….………….30
4 Exponential Control Laws………………………………………..….32
4.1 Discontinuously Exponential Control...……...…………..…32
4.1.1 Control Law………………………………………..…………..32
4.1.2 Stability Analysis…………………………...……………….33
4.1.3 Example Simulation……………………………………...…….38
4.2 Continuously Exponential Control….…………………….…....40
4.2.1 Control Law…………………………………………..……..40
4.2.2 Stability Analysis……………………..………………….….40
4.2.3 Example Simulation…………………………………………..42
4.3 Smoothly Exponential Control...……………..….…………...44
4.3.1 Control Law………………………………………………..…..44
4.3.2 Stability Analysis………………………………………………45
4.3.3 Example Simulation………………………..……………………47
5 Conclusion…………………………………………………..…………..49
Simulation Results……………………………………..…………………50
Reference……………………………………………..…………………..83
參考文獻 [1] R.R. Mohler and C. N. Shen, {it Optimal control of Nuclear Reactors}. New York: Academic, 1970.
[2] R.R. Mohler, {it Biliner Control Processes}. New York: Academic, 1973.
[3] R.R. Mohler, and P.A. Frick, "Bilinear demographic control
processes", {it Int. J. Policy Analysis Inform. Syst.}, vol. 2, pp. 57-70, 1979.
[4] C. Bruni, G. Di Pillo, and G. Koch, "Bilinear systems: An appealing class of nearly linear systems in theory and
applications", {it IEEE Trans. Automat. Contr.}, vol. AC-19, pp. 334-348, 1974.
[5] R.R. Mohler and W.J. Kolodziej, "An overview of bilinear system theory and applications", {it IEEE Trans. Syst., Man ,
Cybern}, vol. SMC-10, pp. 683-688, 1980.
[6] R.W. Brockett, "On the algebraic structure of bilinear systems", in {it Theory and Applications of Variable Structure
Systems }, R.R. Mohler and A.Ruberti, Eds. New York: Academic, pp. 156-168 , 1972.
[7] O.M. Grasselli and S. Longhi, "On the stabilization of a class of bilinear systems", {it Int. J. Contr.}, vol. 37 , pp.
413-420, 1983.
[8] A.V. Balakrishnan, "Modeling and identification theory: a flight control application", in {it Theory and
Applications of Variable Structure Systems}, R.R. Mohler and A. Ruberti, Eds. New York: Academic, pp. 1-24, 1972.
[9] R.R. Mohler, C.F. Barton, and C.S. Hsu, "T and B Cell Models
in the immune system", in {it Theoretical Immunology}, G. Bell {it et al.}, Eds. New York : Marcel Dekker, 1978, pp.
415-436, 1976.
[10] R.R. Mohler, C.F. Barton, " Compartmental control model of the immune process", {it Proc. 8th IFIP Optimization Conf.},
New York: Springer, 1977.
[11] R. R. Mohler, C.S. Hsu, "Systems compartmentation in immunological modeling", {it Proc. Rome Workshop on Immune
Systems}, New York: Springer, 1979.
[12] D.L. Elliott, "Mathematical models of
blood coagulation kinetics", in {it Recent Developments in Variable Structure System, Economics and Biology}, R.R. Mohler and
A. Ruberti, Eds. New York: Springer, pp. 118-122, 1978.
[13] M. Espana and I.D. Landau, "Reduced order bilinear models for
distillation columns", {it Automatica}, vol. 14, pp. 345-357, 1978.
[14] M.Slemrod, "Stabilization of bilinear control systems with application to nonconservative problems in elasticity", {it
SIAM J. Contr. Optim.}, vol. 16, pp. 131-141, 1978.
[15] A.J. Krener, "Bilinear and nonlinear realizations of input/output maps", {it SIAM J. Contr.}, vol. 13, pp. 827-834,
1975.
[16] H.J. Sussman, "Semigroup representations, bilinear approximation of input-output maps and generalized inputs ", in {it
Mathematical Systems Theory} G. Marchesini and S.K. Miiter, Eds., New York: Springer, 1976.
[17] V.I. Buyakas, {it Automn. remote Control}, vol. 27, pp. 193-, 1979.
[18] S.F. Moon and R.R. Mohler, Bur. of Eng. R., Univ. New Mexico, Albuquerque, Tech. Rep. EE-164, 1969.
[19] T. Ionescu and R.V. Monopoli, "On the stabilization of bilinear system via hyperstability", {it IEEE Trans. Automat.
Contr. }, vol. AC-20, pp. 280-284, 1975.
[20] E.P. Rayn and N.J. Buckingham, "On asymptotically stabilizing feedback control of bilinear systems", {it IEEE Trans.
Automat. Contr.}, vol. AC-28, pp. 863-864, 1983.
[21] M. Slemrod, {it SIAM J. Control and Optimization}, vol.16, pp.131-,
1978.
[22] J.P. Gauthier and G. Bornard, "Stabilization of bilinear systems, performance specification and optimality", in
{it Proc. 4th Int. Conf. Anal. and Optimiz.}, Versailles, France, 1980.
[23] R. Longchamp, "Controller design for bilinear
systems", {it IEEE Trans. Automat. Contr.}, vol. AC-25, pp. 547-548, 1980.
[24] I. Derese and E. Noldus, "Design of linear
feedback laws for bilinear systems ", {it Int. J. Contr.}, vol. 31, pp. 219-237, 1980.
[25] R. Genesio and A. Tesi, "On the feedback of SISO bilinear systems", Tech. Rep. DSI 9/86, Univ. Florence, Italy, 1986;
also in {it Int. J. Contr.}, to be published.
[26] R. V. Monopoli, "Synthesis techniques employing the direct method",
{it IEEE Trans. Automat. Contr.(Correspondence)}, July, pp.369-370, 1965.
[27] H.C. Lu and C.A. Wey, "Lyapunov stability of
bilinear time-Delay systems", {it Proc. 32th Conf. Decision and Control}, San Antonio, Texas, 1993.
[28] R. Genesio and A.
Tesi, "The output stabilization of SISO bilinear systems", {it IEEE Trans. Automat. Contr.}, vol. AC-33, pp. 950-952, 1988.
[29] X. Yang, L.K. Chen, and R.M. Burton, "Stability of bilinear systems with output feedback", {it Int. J. Contr.}, vol. 50,
no. 5, pp. 2085-2092, 1989.
[30] P.O. Gutman, "Stabilizing controllers for bilinear systems", {it IEEE Trans. Automat.
Contr.}, vol. AC-26, no. 4, pp. 917-922, 1981.
[31] Y.R. Hwang, "Reachability of Dyadic Bilinear Systems".
[32] M. Vidysagar, "Nonlinear System Analysis", second edition, Prentice Hall, Englewood Cliffs, New Jersey, 1993.
[33] A. Isidori, "Nonlinear Control Systems: An Introduction",
Springer-Verlag, New York, 1985.
[34] H. Nijmeijer, "Nonlinear Dynamical Control", Springer-Verlag, New York, 1990
[35] R. Hermann, and A.J. Krener, "Nonlinear Controllability and Observability", IEEE Transactions on Automatic Control,
728-740, Vol AC-22, No.5, October 1977.
[36] R.R. Mohler, "Nonlinear Systems, Volume II, Applications to Bilinear Control", Prentice Hall, Englewood Cliffs, New
Jersey, 1.
[37] W.Hahn, "Stability of Motion", Springer Verlarg, 1967.
指導教授 黃衍任(Yean-Ren Hwang) 審核日期 2000-6-29

若有論文相關問題,請聯絡國立中央大學圖書館推廣服務組 TEL:(03)422-7151轉57407,或E-mail聯絡