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Volumn 17, Issue 3, 2011, Pages 391-406

Construction of reduced order controllers for nonlinear systems with periodic coefficients

Author keywords

invariant manifold; Lyapunov Floquet transformation; nonlinear control; nonlinear time periodic systems; Order reduction

Indexed keywords

INVARIANT MANIFOLDS; LYAPUNOV-FLOQUET TRANSFORMATION; NON LINEAR CONTROL; NONLINEAR TIME-PERIODIC SYSTEMS; ORDER REDUCTION;

EID: 79951874061     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546309356009     Document Type: Article
Times cited : (5)

References (29)
  • 5
    • 49149090749 scopus 로고    scopus 로고
    • Numerical linear algebra for model reduction in control and simulation
    • Benner, P., 2006, "Numerical linear algebra for model reduction in control and simulation, " GAMM Mitteilungen 29 (2). 275-296.
    • (2006) GAMM Mitteilungen , vol.29 , Issue.2 , pp. 275-296
    • Benner, P.1
  • 8
  • 9
    • 0034417516 scopus 로고    scopus 로고
    • Order reduction and control of parametrically excited dynamical systems
    • Deshmukh, V., Sinha, S.C., and Joseph, P., 2000, "Order reduction and control of parametrically excited dynamical systems, " Journal of Vibration and Control 6, 1017-1028.
    • (2000) Journal of Vibration and Control , vol.6 , pp. 1017-1028
    • Deshmukh, V.1    Sinha, S.C.2    Joseph, P.3
  • 15
    • 0002076044 scopus 로고
    • Analysis of time-periodic nonlinear dynamical systems undergoing bifurcation
    • Pandiyan, R. and Sinha, S.C., 1995, "Analysis of time-periodic nonlinear dynamical systems undergoing bifurcation, " Nonlinear Dynamics 8, 21-43.
    • (1995) Nonlinear Dynamics , vol.8 , pp. 21-43
    • Pandiyan, R.1    Sinha, S.C.2
  • 16
    • 0032308184 scopus 로고    scopus 로고
    • Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors
    • Phillips, J.R., 1998, "Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors," In International Conference on Computer Aided-Design, Santa Clara, CA, pp. 96-102.
    • International Conference on Computer Aided-Design
    • Phillips, J.R.1
  • 18
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • DOI 10.1006/jsvi.1993.1198
    • Shaw, S.W. and Pierre C., 1993, "Normal modes for nonlinear vibratory systems, " Journal of Sound and Vibration 164 (1). 85-124. (Pubitemid 23701872)
    • (1993) Journal of Sound and Vibration , vol.164 , Issue.1 , pp. 85-124
    • Shaw, S.W.1    Pierre, C.2
  • 20
    • 0031237138 scopus 로고    scopus 로고
    • Symbolic computation of fundamental solution matrices for linear time-periodic dynamical systems
    • Sinha, S.C. and Butcher E.A., 1997, "Symbolic computation of fundamental solution matrices for time periodic dynamical systems, " Journal of Sound and Vibration 206 (1). 61-85. (Pubitemid 127402718)
    • (1997) Journal of Sound and Vibration , vol.206 , Issue.1 , pp. 61-85
    • Sinha, S.C.1    Butcher, E.A.2
  • 22
    • 0030129491 scopus 로고    scopus 로고
    • Liapunov-Floquet transformation: Computation and application to periodic systems
    • Sinha, S.C., Pandiyan, R., and Bibb, J.S., 1996, "Liapunov-Floquet transformation: computation and application to periodic systems, " Journal of Vibration and Acoustics 118, 209-219.
    • (1996) Journal of Vibration and Acoustics , vol.118 , pp. 209-219
    • Sinha, S.C.1    Pandiyan, R.2    Bibb, J.S.3
  • 23
    • 18444364818 scopus 로고    scopus 로고
    • Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds
    • DOI 10.1016/j.jsv.2004.07.027, PII S0022460X04006704
    • Sinha, S.C., Redkar, S., and Butcher, E.A., 2004, "Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds, " Journal of Sound and Vibration 284, 985-1002. (Pubitemid 40643845)
    • (2005) Journal of Sound and Vibration , vol.284 , Issue.3-5 , pp. 985-1002
    • Sinha, S.C.1    Redkar, S.2    Butcher, E.A.3
  • 24
    • 85003347171 scopus 로고
    • Nonlinear modal control method," Journal of Guidance
    • Slater, J.C. and Inman, D.J., 1995, "Nonlinear modal control method," Journal of Guidance, Control and Dynamics 18 (3). 433-440.
    • (1995) Control and Dynamics , vol.18 , Issue.3 , pp. 433-440
    • Slater, J.C.1    Inman, D.J.2
  • 28
    • 34248398473 scopus 로고    scopus 로고
    • Development of a feedback linearization technique for parametrically excited nonlinear systems via normal forms
    • DOI 10.1115/1.2447190
    • Zhang, Y. and Sinha, S.C., 2007, "Development of a feedback linearization technique for parametrically excited nonlinear systems via normal form, " Journal of Computational and Nonlinear Dynamics 2 (2). 124-131. (Pubitemid 46736208)
    • (2007) Journal of Computational and Nonlinear Dynamics , vol.2 , Issue.2 , pp. 124-131
    • Zhang, Y.1    Sinha, S.C.2
  • 29
    • 77955261014 scopus 로고    scopus 로고
    • Observer design for nonlinear systems with time periodic coefficients via normal form theory
    • Zhang, Y. and Sinha, S.C., 2009, "Observer design for nonlinear systems with time periodic coefficients via normal form theory," Journal of Computational and Nonlinear Dynamics 4 (3). 031001-1-10.
    • (2009) Journal of Computational and Nonlinear Dynamics , vol.4 , Issue.3 , pp. 0310011-03100110
    • Zhang, Y.1    Sinha, S.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.