메뉴 건너뛰기




Volumn 53, Issue 8, 2006, Pages 777-781

Observer Design for Lipschitz Nonlinear Systems: The Discrete-Time Case

Author keywords

Discrete time nonlinear systems; linear matrix in equality (LMI) approach; Lyapunov stability; observer design

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTROL NONLINEARITIES; DISCRETE TIME CONTROL SYSTEMS; LINEAR SYSTEMS; LYAPUNOV METHODS; STATE ESTIMATION; SYNCHRONIZATION;

EID: 33748533172     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.876465     Document Type: Article
Times cited : (124)

References (25)
  • 1
    • 0028465219 scopus 로고
    • Observability and observers for nonlinear systems
    • J. P. Gauthier and I. A. K.Kupka, “Observability and observers for nonlinear systems,” SIAM J. Control Optim., vol. 32, no. 4, pp. 975–994, 1994.
    • (1994) SIAM J. Control Optim. , vol.32 , Issue.4 , pp. 975-994
    • Gauthier, J.P.1    Kupka, I.A.K.2
  • 2
    • 0002163131 scopus 로고    scopus 로고
    • Observer with linear error dynamics for nonlinear multi output systems
    • M. Hou and A. C. Pugh, “Observer with linear error dynamics for nonlinear multi output systems,” Syst. Control Lett., vol. 37, 1999.
    • (1999) Syst. Control Lett. , vol.37
    • Hou, M.1    Pugh, A.C.2
  • 3
    • 0020800285 scopus 로고
    • Canonical form observer design for nonlinear time-variable systems
    • D. Bestle and M. Zeitz, “Canonical form observer design for nonlinear time-variable systems,” Int. J. Control, vol. 38, no. 2, pp. 419–431, 1983.
    • (1983) Int. J. Control , vol.38 , Issue.2 , pp. 419-431
    • Bestle, D.1    Zeitz, M.2
  • 4
    • 0142224770 scopus 로고
    • Linearization by output injection and nonlinear observers
    • A. J. Krener and A. Isidori, “Linearization by output injection and nonlinear observers,” Syst. Control Lett., vol. 3, no. 1, pp. 47–52, 1983.
    • (1983) Syst. Control Lett. , vol.3 , Issue.1 , pp. 47-52
    • Krener, A.J.1    Isidori, A.2
  • 5
    • 0022028028 scopus 로고
    • Nonlinear observer with linearizable error dynamics
    • A. J. Krener and W. Respondek, “Nonlinear observer with linearizable error dynamics,” SIAM J. Control Optim., vol. 23, no. 2, pp. 197–216, 1985.
    • (1985) SIAM J. Control Optim. , vol.23 , Issue.2 , pp. 197-216
    • Krener, A.J.1    Respondek, W.2
  • 6
    • 0023602743 scopus 로고
    • Nonlinear observer design by transformation into a generalized observer canonical form
    • H. Keller, “Nonlinear observer design by transformation into a generalized observer canonical form,” Int. J. Control, vol. 46, no. 6, pp. 1915–1930, 1987.
    • (1987) Int. J. Control , vol.46 , Issue.6 , pp. 1915-1930
    • Keller, H.1
  • 7
    • 39649113119 scopus 로고    scopus 로고
    • Design of observers for Lipschitz nonlinear systems using LMI
    • A. Alessandri, “Design of observers for Lipschitz nonlinear systems using LMI,” NOLCOS, Stuttgart, vol. 2, no. 9, pp. 603–608, 2004.
    • (2004) NOLCOS, Stuttgart , vol.2 , Issue.9 , pp. 603-608
    • Alessandri, A.1
  • 9
    • 0032025028 scopus 로고    scopus 로고
    • Observers for Lipschitz nonlinear systems
    • Mar.
    • R. Rajamani, “Observers for Lipschitz nonlinear systems,” IEEE Trans. Autom Contr., vol. 43, no. 3, pp. 397–401, Mar. 1998.
    • (1998) IEEE Trans. Autom Contr. , vol.43 , Issue.3 , pp. 397-401
    • Rajamani, R.1
  • 10
    • 0036805156 scopus 로고    scopus 로고
    • A note on observers for Lipschitz nonlinear systems
    • Oct.
    • F. Zhu and Z. Han, “A note on observers for Lipschitz nonlinear systems,” IEEE Trans. Autom Contr., vol. 47, no. 10, pp. 1751–1754, Oct. 2002.
    • (2002) IEEE Trans. Autom Contr. , vol.47 , Issue.10 , pp. 1751-1754
    • Zhu, F.1    Han, Z.2
  • 11
    • 8744300719 scopus 로고    scopus 로고
    • Controller and observer design for lipschitz nonlinear systems
    • Boston, MA, Jul.
    • P. R. Pagilla and Y. Zhu, “Controller and observer design for lipschitz nonlinear systems,” in Proc. IEEE Amer. Control Conf., Boston, MA, Jul. 2004, pp. 2379–2384.
    • (2004) Proc. IEEE Amer. Control Conf. , pp. 2379
    • Pagilla, P.R.1    Zhu, Y.2
  • 12
    • 0031124391 scopus 로고    scopus 로고
    • A systematic approach to adaptive observer synthesis for nonlinear systems
    • Apr.
    • Y. M. Cho and R. Rajamani, “A systematic approach to adaptive observer synthesis for nonlinear systems,” IEEE Trans. Autom Contr., vol. 42, no. 4, pp. 534–537, Apr. 1997.
    • (1997) IEEE Trans. Autom Contr. , vol.42 , Issue.4 , pp. 534-537
    • Cho, Y.M.1    Rajamani, R.2
  • 13
    • 0033321709 scopus 로고    scopus 로고
    • A strong tracking extended Kalman observer for nonlinear discrete-time systems
    • Aug.
    • M. Boutayeb and D. Aubry, “A strong tracking extended Kalman observer for nonlinear discrete-time systems,” IEEE Trans. Autom Contr., vol. 44, no. 8, pp. 1550–1556, Aug. 1999.
    • (1999) IEEE Trans. Autom Contr. , vol.44 , Issue.8 , pp. 1550-1556
    • Boutayeb, M.1    Aubry, D.2
  • 14
    • 0033171387 scopus 로고    scopus 로고
    • The extended Kalman filter as an exponential observer for nonlinear systems
    • Aug.
    • K. Reif and R. Unbehauen, “The extended Kalman filter as an exponential observer for nonlinear systems,” IEEE Trans. Signal Process., vol. 47, no. 8, pp. 2324–2328, Aug. 1999.
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.8 , pp. 2324-2328
    • Reif, K.1    Unbehauen, R.2
  • 15
    • 0004454551 scopus 로고    scopus 로고
    • A reduced-order observer for nonlinear discrete-time systems
    • M. Boutayeb and M. Darouach, “A reduced-order observer for nonlinear discrete-time systems,” Syst. Control Lett., vol. 39, 2000.
    • (2000) Syst. Control Lett. , vol.39
    • Boutayeb, M.1    Darouach, M.2
  • 17
    • 0036506099 scopus 로고    scopus 로고
    • Theory and experimental realization of observer-based discrete-time hyperchaos synchronization
    • Mar.
    • G. Grassi and D. A. Miller, “Theory and experimental realization of observer-based discrete-time hyperchaos synchronization,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 3, pp. 373–378, Mar. 2002.
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.49 , Issue.3 , pp. 373-378
    • Grassi, G.1    Miller, D.A.2
  • 18
    • 33748559195 scopus 로고    scopus 로고
    • Observer synthesis for lipschitz discrete-time systems
    • Kobe, Japan, May
    • G. I. Bara, A. Zemouche, and M. Boutayeb, “Observer synthesis for lipschitz discrete-time systems,” in Proc. IEEE Int. Symp. Circuits Syst., Kobe, Japan, May 2005, pp. 3195–3198.
    • (2005) Proc. IEEE Int. Symp. Circuits Syst. , pp. 3195
    • Bara, G.I.1    Zemouche, A.2    Boutayeb, M.3
  • 20
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett., vol. 64, pp. 821–824, 1990.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 21
    • 4344685313 scopus 로고    scopus 로고
    • Synchronization and input recovery in digital nonlinear systems
    • Aug.
    • M. Boutayeb, “Synchronization and input recovery in digital nonlinear systems,” IEEE Trans. Circuits Syst. II: Exp. Briefs, vol. 51, no. 8, pp. 393–399, Aug. 2004.
    • (2004) IEEE Trans. Circuits Syst. II: Exp. Briefs , vol.51 , Issue.8 , pp. 393-399
    • Boutayeb, M.1
  • 22
    • 0036505160 scopus 로고    scopus 로고
    • Generalized state-space observers for chaotic synchronization and secure communication
    • I, Fundam. Theory Appl Mar.
    • M. Boutayeb, M. Darouach, and H. Rafaralahy, “Generalized state-space observers for chaotic synchronization and secure communication,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 49, no. 3, pp. 345–349, Mar. 2002.
    • (2002) IEEE Trans. Circuits Syst. , vol.49 , Issue.3 , pp. 345-349
    • Boutayeb, M.1    Darouach, M.2    Rafaralahy, H.3
  • 23
    • 0033310588 scopus 로고    scopus 로고
    • An observer-based approach for chaotic synchronization with applications to secure communications
    • Sep.
    • T. L. Liao and N. S. Huang, “An observer-based approach for chaotic synchronization with applications to secure communications,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 46, no. 9, pp. 1144–1150, Sep. 1999.
    • (1999) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.46 , Issue.9 , pp. 1144-1150
    • Liao, T.L.1    Huang, N.S.2
  • 24
    • 0003595281 scopus 로고    scopus 로고
    • Nonlinear Dynamics and Chaos
    • 2nd ed. New York: Wiley
    • J. M. T. Thompson and H. B. Stewart, Nonlinear Dynamics and Chaos, 2nd ed. New York: Wiley, 2002.
    • (2002)
    • Thompson, J.M.T.1    Stewart, H.B.2
  • 25
    • 0028465219 scopus 로고
    • Observability and observers for nonlinear systems
    • J. P. Gauthier and I. A. K. Kupka, “Observability and observers for nonlinear systems,” SIAM J. Control Optim., vol. 32, no. 4, pp. 975–994, 1994.
    • (1994) SIAM J. Control Optim. , vol.32 , Issue.4 , pp. 975-994
    • Gauthier, J.P.1    Kupka, I.A.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.