메뉴 건너뛰기




Volumn 50, Issue 8, 2003, Pages 1134-1140

A view on limit cycle bifurcations in relay feedback systems

Author keywords

Bifurcations; Describing function; Limit cycles; Relay control systems; Sliding modes

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); DESCRIBING FUNCTIONS; LINEAR CONTROL SYSTEMS; OSCILLATIONS; RELAY CONTROL SYSTEMS; SLIDING MODE CONTROL;

EID: 0042879809     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2003.815224     Document Type: Review
Times cited : (12)

References (27)
  • 2
    • 0035297802 scopus 로고    scopus 로고
    • Self-oscillations and sliding in relay feedback systems: Symmetry and bifurcations
    • M. di Bernardo, K. H. Johansson, and F. Vasca, "Self-oscillations and sliding in relay feedback systems: Symmetry and bifurcations," Int. J. Bifurcation Chaos, vol. 11, pp. 1121-1140, 2001.
    • (2001) Int. J. Bifurcation Chaos , vol.11 , pp. 1121-1140
    • Di Bernardo, M.1    Johansson, K.H.2    Vasca, F.3
  • 5
    • 0001952556 scopus 로고
    • Oscillations in systems with relay feedback
    • K. J. Åström, G. C. Goodwin, and P. R. Kumar, Eds. New York: Springer-Verlag, IMA Volumes in Mathematics and its Applications
    • K. J. Åström, "Oscillations in systems with relay feedback," in Adaptive Control Filtering, and Signal Processing, K. J. Åström, G. C. Goodwin, and P. R. Kumar, Eds. New York: Springer-Verlag, 1995, vol. 74, IMA Volumes in Mathematics and its Applications, pp. 1-25.
    • (1995) Adaptive Control Filtering, and Signal Processing , vol.74 , pp. 1-25
    • Åström, K.J.1
  • 6
    • 0003131897 scopus 로고    scopus 로고
    • Global stability of oscillations induced by a relay feedback
    • San Francisco, CA
    • A. Megretski, "Global stability of oscillations induced by a relay feedback," in Proc. IFAC 13th World Congress, vol. E, San Francisco, CA, 1996, pp. 49-54.
    • (1996) Proc. IFAC 13th World Congress , vol.E , pp. 49-54
    • Megretski, A.1
  • 9
    • 0032690906 scopus 로고    scopus 로고
    • Fast switches in relay feedback systems
    • K. H. Johansson, A. Rantzer, and K. J. Åström, "Fast switches in relay feedback systems," Automatica, vol. 35, pp. 539-552, 1999.
    • (1999) Automatica , vol.35 , pp. 539-552
    • Johansson, K.H.1    Rantzer, A.2    Åström, K.J.3
  • 10
    • 0022144455 scopus 로고
    • Simple feedback systems with chaotic behavior
    • P. A. Cook, "Simple feedback systems with chaotic behavior," Syst. Contr. Lett., vol. 6, pp. 223-227, 1985.
    • (1985) Syst. Contr. Lett. , vol.6 , pp. 223-227
    • Cook, P.A.1
  • 12
    • 0007273205 scopus 로고
    • Chaos prediction in a third-order relay system
    • Dipartimento di Sistemi ed Informatica, Univ. Florence, Florence, Italy
    • R. Genesio and A. Tesi, "Chaos prediction in a third-order relay system," Dipartimento di Sistemi ed Informatica, Univ. Florence, Florence, Italy, Internal Rep. RT 29/90, 1990.
    • (1990) Internal Rep. , vol.RT 29-90
    • Genesio, R.1    Tesi, A.2
  • 21
    • 0036858475 scopus 로고    scopus 로고
    • Limitations of the describing function for limit cycle prediction
    • Nov.
    • S. Engelberg, "Limitations of the describing function for limit cycle prediction," IEEE Trans. Automat. Contr., vol. 47, pp. 1887-1890, Nov. 2002.
    • (2002) IEEE Trans. Automat. Contr. , vol.47 , pp. 1887-1890
    • Engelberg, S.1
  • 25
    • 0031197307 scopus 로고    scopus 로고
    • A frequency method for predicting limit cycle bifurcations
    • M. Basso, R. Genesio, and A. Tesi, "A frequency method for predicting limit cycle bifurcations," Nonlin. Dyn., vol. 13, pp. 339-360, 1997.
    • (1997) Nonlin. Dyn. , vol.13 , pp. 339-360
    • Basso, M.1    Genesio, R.2    Tesi, A.3
  • 26
    • 0030235714 scopus 로고    scopus 로고
    • Harmonic balance analysis of period doubling bifurcations with implications for control of nonlinear dynamics
    • A. Tesi, E. H. Abed, R. Genesio, and H. O. Wang, "Harmonic balance analysis of period doubling bifurcations with implications for control of nonlinear dynamics," Automatica, vol. 32, pp. 1255-1271, 1996.
    • (1996) Automatica , vol.32 , pp. 1255-1271
    • Tesi, A.1    Abed, E.H.2    Genesio, R.3    Wang, H.O.4
  • 27
    • 0026866475 scopus 로고
    • Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
    • R. Genesio and A. Tesi, "Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems," Automatica, vol. 28, pp. 531-548, 1992.
    • (1992) Automatica , vol.28 , pp. 531-548
    • Genesio, R.1    Tesi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.