메뉴 건너뛰기




Volumn , Issue , 2009, Pages 8238-8243

Error analysis for a class of numerical differentiator: Application to state observation

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DIFFERENTIATION (CALCULUS); INTEGRAL EQUATIONS;

EID: 77950857207     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400907     Document Type: Conference Paper
Times cited : (13)

References (31)
  • 1
    • 0029293540 scopus 로고
    • A class of second-order integrators and low-pass differentiators
    • Al-Alaoui M.A., A class of second-order integrators and low-pass differentiators. IEEE Trans. Circuits Syst. I 42(4), pp. 220-223, 1995.
    • (1995) IEEE Trans. Circuits Syst. I , vol.42 , Issue.4 , pp. 220-223
    • Al-Alaoui, M.A.1
  • 3
    • 0029291698 scopus 로고
    • Design of high-order digital differentiators using L1 error criteria
    • Chen C.K., Lee J.H., Design of high-order digital differentiators using L1 error criteria. IEEE Trans. Circuits Syst. II, Vol.42, N. 4, pp. 287-291, 1995.
    • (1995) IEEE Trans. Circuits Syst. II , vol.42 , Issue.4 , pp. 287-291
    • Chen, C.K.1    Lee, J.H.2
  • 4
    • 0036741835 scopus 로고    scopus 로고
    • Time-varying high-gain observers for numerical differentiation
    • Chitour Y., Time-varying high-gain observers for numerical differentiation. IEEE Trans. Automat. Contr., Vol.47, pp. 1565-1569, 2002.
    • (2002) IEEE Trans. Automat. Contr. , vol.47 , pp. 1565-1569
    • Chitour, Y.1
  • 5
    • 0033349279 scopus 로고    scopus 로고
    • Discrete-time implementation of highgain observers for numerical differentiation
    • Dabroom A.M., Khalil H.K., Discrete-time implementation of highgain observers for numerical differentiation. International Journal of Control, Vol.72, pp. 1523-1537, 1999.
    • (1999) International Journal of Control , vol.72 , pp. 1523-1537
    • Dabroom, A.M.1    Khalil, H.K.2
  • 7
    • 0030130027 scopus 로고    scopus 로고
    • Numerical differentiation and parameter estimation in higher-order linear stochastic systems
    • Duncan T.E., Mandl P., Pasik-Duncan B., Numerical differentiation and parameter estimation in higher-order linear stochastic systems. IEEE Trans. Automat. Contr., Vol.41, pp. 522-532, 1996.
    • (1996) IEEE Trans. Automat. Contr. , vol.41 , pp. 522-532
    • Duncan, T.E.1    Mandl, P.2    Pasik-Duncan, B.3
  • 8
    • 33646489320 scopus 로고    scopus 로고
    • Analyse non standard du bruit
    • Fliess, M., Analyse non standard du bruit, C.R. Acad. Sci. Paris Ser. I, 342 797-802, 2006.
    • (2006) C.R. Acad. Sci. Paris Ser. I , vol.342 , pp. 797-802
    • Fliess, M.1
  • 11
    • 9144222606 scopus 로고    scopus 로고
    • Questioning some paradigms of signal processing via concrete examples
    • H. Sira-Ramírez, G. Silva-Navarro (Eds.), Editiorial Lagares, México, available at
    • Fliess M., Mboup M., Mounier H., Sira-Ramírez H., Questioning some paradigms of signal processing via concrete examples, in Algebraic Methods in Flatness, Signal Processing and State Estimation, H. Sira-Ramírez, G. Silva-Navarro (Eds.), Editiorial Lagares, México, 2003, pp. 1-21 (available at http://hal.inria.fr/inria-00001059/en/).
    • (2003) Algebraic Methods in Flatness, Signal Processing and State Estimation , pp. 1-21
    • Fliess, M.1    Mboup, M.2    Mounier, H.3    Sira-Ramírez, H.4
  • 15
    • 84930350670 scopus 로고    scopus 로고
    • Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques
    • in H. Garnier, L. Wang (Eds): Springer, available at
    • Fliess M., Sira-Ramírez H., Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques, in H. Garnier, L. Wang (Eds): Identification of Continuous-time Models from Sampled Data, pp. 363-391, Springer, 2008 (available at http://hal.inria.fr/inria-00114958/en/).
    • (2008) Identification of Continuous-time Models from Sampled Data , pp. 363-391
    • Fliess, M.1    Sira-Ramírez, H.2
  • 16
    • 0345690108 scopus 로고    scopus 로고
    • Online exact differentiation and notion of asymptotic algebraic observers
    • Ibrir S., Online exact differentiation and notion of asymptotic algebraic observers. IEEE Trans. Automat. Contr., Vol.48, pp. 2055-2060, 2003.
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 2055-2060
    • Ibrir, S.1
  • 17
    • 1642525853 scopus 로고    scopus 로고
    • Linear time-derivatives trackers
    • Ibrir S., Linear time-derivatives trackers. Automatica, Vol.40, pp. 397-405, 2004.
    • (2004) Automatica , vol.40 , pp. 397-405
    • Ibrir, S.1
  • 18
    • 50249097347 scopus 로고    scopus 로고
    • A numerical procedure for filtering and efficient high-order signal differentiation
    • Ibrir S., Diop S., A numerical procedure for filtering and efficient high-order signal differentiation. Int. J. Appl. Math. Compt. Sci., Vol.14, pp. 201-208, 2004.
    • (2004) Int. J. Appl. Math. Compt. Sci. , vol.14 , pp. 201-208
    • Ibrir, S.1    Diop, S.2
  • 20
    • 0142137682 scopus 로고    scopus 로고
    • Higher-order sliding modes, differentiation and output-feedback control
    • Levant A., Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control, Vol.76, pp. 924-941, 2003.
    • (2003) International Journal of Control , vol.76 , pp. 924-941
    • Levant, A.1
  • 23
    • 63349102453 scopus 로고    scopus 로고
    • Numerical differentiation with annihilators in noisy environment
    • Mboup M., Join C., Fliess M., Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, Vol.50, 4, pp. 439-467 2009.
    • (2009) Numerical Algorithms , vol.50 , Issue.4 , pp. 439-467
    • Mboup, M.1    Join, C.2    Fliess, M.3
  • 26
    • 33845729972 scopus 로고    scopus 로고
    • Approximating noncausal IIR digital filters having arbitrary poles, including new Hilbert transformer designs, via forward/backward block recursion
    • Rader C.M., Jackson L.B., Approximating noncausal IIR digital filters having arbitrary poles, including new Hilbert transformer designs, via forward/backward block recursion. IEEE Trans. Circuits Syst. I, Vol.53, N. 12, pp. 2779-2787, 2006.
    • (2006) IEEE Trans. Circuits Syst. I , vol.53 , Issue.12 , pp. 2779-2787
    • Rader, C.M.1    Jackson, L.B.2
  • 28
    • 33747612193 scopus 로고    scopus 로고
    • A simple improved velocity estimation for low-speed regions based on position measurements only
    • Su Y.X., Zheng C.H., Mueller P.C., Duan B.Y., A simple improved velocity estimation for low-speed regions based on position measurements only., IEEE Trans. Control Syst. Technology, Vol.14, pp. 937-942, 2006.
    • (2006) IEEE Trans. Control Syst. Technology , vol.14 , pp. 937-942
    • Su, Y.X.1    Zheng, C.H.2    Mueller, P.C.3    Duan, B.Y.4
  • 29
    • 33847309048 scopus 로고    scopus 로고
    • An algebraic frequency estimator for a biased and noisy sinusoidal signal
    • Trapero J.R., Sira-Ramírez H., Battle V.F., An algebraic frequency estimator for a biased and noisy sinusoidal signal, Signal Processing, Vol.87, pp. 1188-1201, 2007.
    • (2007) Signal Processing , vol.87 , pp. 1188-1201
    • Trapero, J.R.1    Sira-Ramírez, H.2    Battle, V.F.3
  • 30
    • 34548307011 scopus 로고    scopus 로고
    • A fast on-line frequency estimator of lightly damped vibrations in flexible structures
    • Trapero J.R., Sira-Ramírez H., Battle V.F., A fast on-line frequency estimator of lightly damped vibrations in flexible structures, J. Sound Vibration, Vol.307, pp. 365-378, 2007.
    • (2007) J. Sound Vibration , vol.307 , pp. 365-378
    • Trapero, J.R.1    Sira-Ramírez, H.2    Battle, V.F.3
  • 31
    • 41549135051 scopus 로고    scopus 로고
    • On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sums
    • Trapero J.R., Sira-Ramírez H., Battle V.F., On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sums, Int. J. Control, Vol.81, 505-516, 2008.
    • (2008) Int. J. Control , vol.81 , pp. 505-516
    • Trapero, J.R.1    Sira-Ramírez, H.2    Battle, V.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.