메뉴 건너뛰기




Volumn 34, Issue 2, 2007, Pages 639-645

Recursive backstepping control of chaotic Duffing oscillators

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; NONLINEAR ANALYSIS; PROBLEM SOLVING; RECURSIVE FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS);

EID: 34147156251     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.119     Document Type: Article
Times cited : (39)

References (19)
  • 2
    • 0024930117 scopus 로고
    • Bifurcations in a forced softening Duffing oscillator
    • Nayfeh A.H., and Sanchez N.E. Bifurcations in a forced softening Duffing oscillator. Int J Nonlinear Mech 24 (1989) 483-497
    • (1989) Int J Nonlinear Mech , vol.24 , pp. 483-497
    • Nayfeh, A.H.1    Sanchez, N.E.2
  • 3
    • 19444374846 scopus 로고
    • Bifurcations of harmonics solution leading to chaotic motion in the softening type Duffing's oscillator
    • Szemplinska-Stupnika W. Bifurcations of harmonics solution leading to chaotic motion in the softening type Duffing's oscillator. Int J Nonlinear Mech 23 (1986) 257-277
    • (1986) Int J Nonlinear Mech , vol.23 , pp. 257-277
    • Szemplinska-Stupnika, W.1
  • 4
    • 0023288332 scopus 로고
    • Secondary resonance and approximate models of rout to chaotic motion in non-linear oscillator
    • Szemplinska-Stupnika W. Secondary resonance and approximate models of rout to chaotic motion in non-linear oscillator. J Sound Vib 112 (1987) 155-172
    • (1987) J Sound Vib , vol.112 , pp. 155-172
    • Szemplinska-Stupnika, W.1
  • 5
    • 0022902187 scopus 로고
    • The 1/2 subharmonic resonance and its transition to chaotic motion in a non-linear oscillator
    • Szemplinska-Stupnika W., and Bajkowski J. The 1/2 subharmonic resonance and its transition to chaotic motion in a non-linear oscillator. Int J Nonlinear Mech 21 (1986) 401-419
    • (1986) Int J Nonlinear Mech , vol.21 , pp. 401-419
    • Szemplinska-Stupnika, W.1    Bajkowski, J.2
  • 6
    • 38249021943 scopus 로고    scopus 로고
    • Bifurcation structure of Duffing oscillator with asymmetric potential well
    • Huanc J.C., Kao Y.H., Wang C.S., and Gou Y. Bifurcation structure of Duffing oscillator with asymmetric potential well. Phys Lett A 136 (1998) 131-138
    • (1998) Phys Lett A , vol.136 , pp. 131-138
    • Huanc, J.C.1    Kao, Y.H.2    Wang, C.S.3    Gou, Y.4
  • 7
    • 0001239003 scopus 로고
    • Stability of forced nonlinear single-well oscillators via Poincare map
    • Liu K.L., and Young K. Stability of forced nonlinear single-well oscillators via Poincare map. J Math Phys 27 (1986) 502-506
    • (1986) J Math Phys , vol.27 , pp. 502-506
    • Liu, K.L.1    Young, K.2
  • 8
    • 0002466043 scopus 로고    scopus 로고
    • On the steady state response of oscillators with static and inertia-linearities
    • Al-Qaisia A.A., and Hamdan M.N. On the steady state response of oscillators with static and inertia-linearities. J Sound Vib 223 (1999) 49-71
    • (1999) J Sound Vib , vol.223 , pp. 49-71
    • Al-Qaisia, A.A.1    Hamdan, M.N.2
  • 9
    • 0024034396 scopus 로고
    • On the transition from regular to chaotic behavior in the Duffing oscillator
    • Van Dooren R. On the transition from regular to chaotic behavior in the Duffing oscillator. J Sound Vib 23 (1988) 327-339
    • (1988) J Sound Vib , vol.23 , pp. 327-339
    • Van Dooren, R.1
  • 12
    • 0034547330 scopus 로고    scopus 로고
    • Zaher A, Zohdy M. Robust control of biped robots. In: Proceedings of ACC, June 2000, Chicago IL, USA, p. 1473-78.
  • 13
    • 34147142937 scopus 로고    scopus 로고
    • Zaher A, Zohdy M, Areed F, Soliman K. Real-time model-reference control of non-linear processes. In: Second international conference on computers in industry, November 2000, Manama, Bahrain.
  • 14
    • 0034841621 scopus 로고    scopus 로고
    • Zaher A, Zohdy M, Areed F, Soliman K. Robust model-reference control for a class of non-linear and piece-wise linear systems. In: Proceedings of ACC, June 2001, Arlington VA, USA, p. 4514-19.
  • 15
    • 0032021896 scopus 로고    scopus 로고
    • Robustness of the tuning functions adaptive backstepping design for linear systems
    • Ikhouane F., and Krstic M. Robustness of the tuning functions adaptive backstepping design for linear systems. IEEE Trans Automat Control 43 3 (1998) 431-437
    • (1998) IEEE Trans Automat Control , vol.43 , Issue.3 , pp. 431-437
    • Ikhouane, F.1    Krstic, M.2
  • 16
    • 0036346643 scopus 로고    scopus 로고
    • Harb A, Zaher A, Zohdy M. Nonlinear recursive chaos control. In: ACC conference, 2002, Alaska, USA.
  • 17
    • 0038271979 scopus 로고    scopus 로고
    • Robust estimation-based control of chaotic Duffing behavior in oscillator with inertial and elastic symmetric nonlinearities
    • Al-Qaisia A., Harb A., Zaher A., and Zohdy M. Robust estimation-based control of chaotic Duffing behavior in oscillator with inertial and elastic symmetric nonlinearities. Int J Vib Control 9 (2003) 665-684
    • (2003) Int J Vib Control , vol.9 , pp. 665-684
    • Al-Qaisia, A.1    Harb, A.2    Zaher, A.3    Zohdy, M.4
  • 18
    • 0344062652 scopus 로고    scopus 로고
    • Chaos control of third-order phase-locked loops using backstepping nonlinear controller
    • Harb A.M., and Harb B.A. Chaos control of third-order phase-locked loops using backstepping nonlinear controller. Int J Chaos, Solitons & Fractals 20 (2004) 719-723
    • (2004) Int J Chaos, Solitons & Fractals , vol.20 , pp. 719-723
    • Harb, A.M.1    Harb, B.A.2
  • 19
    • 0141839043 scopus 로고    scopus 로고
    • Nonlinear chaos control in a permanent magnet reluctance machines
    • Harb A. Nonlinear chaos control in a permanent magnet reluctance machines. Int J Chaos, Solitons & Fractals 19 (2004) 1217-1224
    • (2004) Int J Chaos, Solitons & Fractals , vol.19 , pp. 1217-1224
    • Harb, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.