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Volumn 58, Issue 4, 2013, Pages 1074-1080

Weak convergence of nonlinear high-gain tracking differentiator

Author keywords

Finite time stability; Homogeneity; Tracking differentiator

Indexed keywords

CONTROL SYSTEMS; MATHEMATICAL MODELS;

EID: 84894532856     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2218153     Document Type: Article
Times cited : (113)

References (21)
  • 3
    • 0000761428 scopus 로고    scopus 로고
    • Finite-time stability of continuous autonomous systems
    • S. P. Bhat and D. S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM J. Control Optim., vol. 38, no. 3, pp. 751-766, 2000.
    • (2000) SIAM J. Control Optim. , vol.38 , Issue.3 , pp. 751-766
    • Bhat, S.P.1    Bernstein, D.S.2
  • 4
    • 21344471250 scopus 로고    scopus 로고
    • Geometric homogeneity with applications to finite-time stability
    • DOI 10.1007/s00498-005-0151-x
    • S. P. Bhat and D. S. Bernstein, "Geometric homogeneity with applications to finite-time stability," Math. Control Signals Syst., vol. 17, no. 2, pp. 101-127, 2005. (Pubitemid 40902905)
    • (2005) Mathematics of Control, Signals, and Systems , vol.17 , Issue.2 , pp. 101-127
    • Bhat, S.P.1    Bernstein, D.S.2
  • 5
    • 0032070908 scopus 로고    scopus 로고
    • Continuous finite-time stabilization of the translational and rotational double integrators
    • PII S001892869803606X
    • S. P. Bhat and D. S. Bernstein, "Continuous finite-time stabilization of the translational and rotational double integrators," IEEE Trans. Autom. Control, vol. 43, no. 5, pp. 678-682, May 1998. (Pubitemid 128736491)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.5 , pp. 678-682
    • Bhat, S.P.1    Bernstein, D.S.2
  • 6
    • 0033349279 scopus 로고    scopus 로고
    • Discrete-time implementation of high-gain observers for numerical differentiation
    • A. M. Dabroom and H. K. Khalil, "Discrete-time implementation of high-gain observers for numerical differentiation," Int. J. Control, vol. 17, no. 17, pp. 1523-1537, 1999. (Pubitemid 30504521)
    • (1999) International Journal of Control , vol.72 , Issue.17 , pp. 1523-1537
    • Dabroom, A.M.1    Khalil, H.K.2
  • 7
    • 0012665884 scopus 로고
    • An experimetal investigation of vibration suppresion in large space structures using position positive feedback
    • California Inst. Technol., Pasadena, CA
    • J. L. Fanson, "An Experimetal Investigation of Vibration Suppresion in Large Space Structures Using Position Positive Feedback," Ph.D dissertation, California Inst. Technol., Pasadena, CA, 1987.
    • (1987) Ph.D Dissertation
    • Fanson, J.L.1
  • 8
    • 28644441748 scopus 로고    scopus 로고
    • Second-order sliding-mode observer for mechanical systems
    • DOI 10.1109/TAC.2005.858636
    • J. Davila, L. Fridman, and A. Levant, "Second-order sliding-modes observer for mechanical systems," IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1785-1789, Nov. 2005. (Pubitemid 41748874)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.11 , pp. 1785-1789
    • Davila, J.1    Fridman, L.2    Levant, A.3
  • 9
    • 79955883781 scopus 로고    scopus 로고
    • A hybrid robust non-homogeneous finite-time differentiator
    • May 2011
    • D. V. Efimov and L. Fridman, "A hybrid robust non-homogeneous finite-time differentiator," IEEE Trans. Autom. Control, vol. 56, no. 5, pp. 1213-1219, May 2011.
    • IEEE Trans. Autom. Control , vol.56 , Issue.5 , pp. 1213-1219
    • Efimov, D.V.1    Fridman, L.2
  • 10
    • 0037091902 scopus 로고    scopus 로고
    • Linear tracking-differentiator and application to online estimation of the frequency of a sinusoidal signal with random noise perturbation
    • B. Z. Guo, J. Q. Han, and F. B. Xi, "Linear tracking-differentiator and application to online estimation of the frequency of a sinusoidal signal with random noise perturbation," Int. J. Syst. Sci., vol. 33, no. 5, pp. 351-358, 2002.
    • (2002) Int. J. Syst. Sci. , vol.33 , Issue.5 , pp. 351-358
    • Guo, B.Z.1    Han, J.Q.2    Xi, F.B.3
  • 11
    • 79958830388 scopus 로고    scopus 로고
    • On convergence of tracking differentiator
    • B. Z. Guo and Z. L. Zhao, "On convergence of tracking differentiator," Int. J. Control, vol. 84, no. 4, pp. 693-701, 2011.
    • (2011) Int. J. Control , vol.84 , Issue.4 , pp. 693-701
    • Guo, B.Z.1    Zhao, Z.L.2
  • 12
    • 0008229781 scopus 로고
    • Control theory: Model approach or control approach?
    • in Chinese
    • J. Q. Han, "Control theory: Model approach or control approach?," (in Chinese) J. Syst. Sci. Math. Sci., vol. 9, no. 4, pp. 328-335, 1989.
    • (1989) J. Syst. Sci. Math. Sci. , vol.9 , Issue.4 , pp. 328-335
    • Han, J.Q.1
  • 13
    • 0000174646 scopus 로고
    • Nonlinear tracking-differentiator
    • in Chinese
    • J. Q. Han and W. Wang, "Nonlinear tracking-differentiator," (in Chinese) J. Syst. Sci. Math. Sci., vol. 14, no. 2, pp. 177-183, 1994.
    • (1994) J. Syst. Sci. Math. Sci. , vol.14 , Issue.2 , pp. 177-183
    • Han, J.Q.1    Wang, W.2
  • 14
    • 63149185343 scopus 로고    scopus 로고
    • From PID to active disturbance rejection control
    • Mar.
    • J. Q. Han, "From PID to active disturbance rejection control," IEEE Trans. Ind. Electron., vol. 56, no. 3, pp. 900-906, Mar. 2009.
    • (2009) IEEE Trans. Ind. Electron. , vol.56 , Issue.3 , pp. 900-906
    • Han, J.Q.1
  • 15
    • 34047208178 scopus 로고    scopus 로고
    • Englewood Cliffs NJ Prentice-Hall
    • H. K. Khalil, Nonlinear Systems. Englewood Cliffs, NJ: Prentice-Hall, 2002.
    • (2002) Nonlinear Systems.
    • Khalil, H.K.1
  • 16
    • 1642525853 scopus 로고    scopus 로고
    • Linear time-derivative trackers
    • S. Ibrir, "Linear time-derivative trackers," Automatica, vol. 40, no. 3, pp. 397-405, 2004.
    • (2004) Automatica , vol.40 , Issue.3 , pp. 397-405
    • Ibrir, S.1
  • 17
    • 0032021448 scopus 로고    scopus 로고
    • Robust Exact Differentiation via Sliding Mode Technique
    • PII S0005109897002094
    • A. Levant, "Robust exact differentiation via sliding mode technique," Automatica, vol. 34, no. 3, pp. 379-384, 1998. (Pubitemid 128413980)
    • (1998) Automatica , vol.34 , Issue.3 , pp. 379-384
    • Levant, A.1
  • 18
    • 0026998882 scopus 로고
    • Homogeneous Lyapunov function for homogeneous continuous vector field
    • DOI 10.1016/0167-6911(92)90078-7
    • L. Rosier, "Homogeneous Lyapunov function for homogeneous continuous vector field," Syst. Control Lett., vol. 19, no. 6, pp. 467-473, 1992. (Pubitemid 23617374)
    • (1992) Systems and Control Letters , vol.19 , Issue.6 , pp. 467-473
    • Rosier Lionel1
  • 19
    • 24144498469 scopus 로고    scopus 로고
    • A simple nonlinear velocity stimatiom for high-performance motion control
    • Aug.
    • Y. X. Su, C. H. Zheng, and D. Sun, "A simple nonlinear velocity stimatiom for high-performance motion control," IEEE Trans. Ind. Electron., vol. 52, no. 4, pp. 1661-1169, Aug. 2005.
    • (2005) IEEE Trans. Ind. Electron. , vol.52 , Issue.4 , pp. 1661-1169
    • Su, Y.X.1    Zheng, C.H.2    Sun, D.3
  • 20
    • 34648846613 scopus 로고    scopus 로고
    • Finite-time-convergent differentiator based on singular perturbation technique
    • DOI 10.1109/TAC.2007.904290
    • X.Wang, Z. Chen, and G. Yang, "Finite-time-convergent differentiator based on singular perturbation technique," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1731-1737, Sep. 2007. (Pubitemid 47456088)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.9 , pp. 1731-1737
    • Wang, X.1    Chen, Z.2    Yang, G.3
  • 21
    • 78650233539 scopus 로고    scopus 로고
    • What kinds of system can be used as tracking-differentiator
    • W. Xue, Y. Huang, and X. Yang, "What kinds of system can be used as tracking-differentiator," in Proc. Chinese Control Conf., 2010, pp. 6113-6120.
    • (2010) Proc. Chinese Control Conf. , pp. 6113-6120
    • Xue, W.1    Huang, Y.2    Yang, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.