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Volumn 5 PART A, Issue , 2008, Pages 783-792

Feedback control via eigenvalue assignment for time delayed systems using the Lambert W function

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP EIGENVALUES; CONTROLLER DESIGN METHODS; DELAY DIFFERENTIAL EQUATION (DDE); EIGEN VALUES; EIGENSPECTRUM; FEEDBACK CONTROLLER DESIGN; FEEDBACK CONTROLLERS; INTERNATIONAL CONFERENCES; INTERNATIONAL DESIGNS; LAMBERT W FUNCTION; LINEAR ODES; MULTI-BODY SYSTEM (MBS); NON-LINEAR DYNAMICS; ORDINARY DIFFERENTIAL EQUATIONS (ODES); STATE TRANSITION MATRIX (STM); TECHNICAL CONFERENCES; TIME-DELAYED SYSTEMS;

EID: 44949142171     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-35711     Document Type: Conference Paper
Times cited : (7)

References (39)
  • 1
    • 0141830923 scopus 로고    scopus 로고
    • Analysis of a System of Linear Delay Differential Equations
    • Asl, F. M. and Ulsoy, A. G., 2003, "Analysis of a System of Linear Delay Differential Equations", J. Dyn. Syst. Meas. Control, vol. 125, pp. 215-223.
    • (2003) J. Dyn. Syst. Meas. Control , vol.125 , pp. 215-223
    • Asl, F.M.1    Ulsoy, A.G.2
  • 3
    • 0032002662 scopus 로고    scopus 로고
    • An Effective Algorithm for Finite Spectrum Assignment of Single-input Systems with Delays
    • Brethé, D. and Loiseau, J. J., 1998, "An Effective Algorithm for Finite Spectrum Assignment of Single-input Systems with Delays", Math. Comput. Simul., vol. 45, pp. 339-348.
    • (1998) Math. Comput. Simul , vol.45 , pp. 339-348
    • Brethé, D.1    Loiseau, J.J.2
  • 6
    • 0035250146 scopus 로고    scopus 로고
    • Limitations of a Class of Stabilization Methods for Delay Systems
    • Engelborghs, K., Dambrine, M. and Roose, D., 2001, "Limitations of a Class of Stabilization Methods for Delay Systems", IEEE Trans. Autom. Control, vol. 46, pp. 336-339.
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 336-339
    • Engelborghs, K.1    Dambrine, M.2    Roose, D.3
  • 7
    • 0037055128 scopus 로고    scopus 로고
    • An Extension of Predictive Control, PID Regulators and Smith Predictors to Some Linear Delay Systems
    • Fliess, M., Marquez, R. and Mounier, H., 2002, "An Extension of Predictive Control, PID Regulators and Smith Predictors to Some Linear Delay Systems", Int. J. Control, vol. 75, pp. 728-743.
    • (2002) Int. J. Control , vol.75 , pp. 728-743
    • Fliess, M.1    Marquez, R.2    Mounier, H.3
  • 8
    • 85047698958 scopus 로고
    • Controllability, Observability and the Transfer Function Matrix for a Delay-Differential System
    • Frost, M. G., 1982, "Controllability, Observability and the Transfer Function Matrix for a Delay-Differential System", Int. J. Control, vol. 35, pp. 175-182.
    • (1982) Int. J. Control , vol.35 , pp. 175-182
    • Frost, M.G.1
  • 9
    • 28844506074 scopus 로고    scopus 로고
    • Control of Unstable Steady States by Time-delayed Feedback Methods
    • Hövel, P. and Schöll, E., 2005, "Control of Unstable Steady States by Time-delayed Feedback Methods", Physical Review E, vol. 72, pp. 1-7.
    • (2005) Physical Review E , vol.72 , pp. 1-7
    • Hövel, P.1    Schöll, E.2
  • 10
    • 9744261841 scopus 로고    scopus 로고
    • Output Feedback Stabilization of Linear Time-delay Systems
    • Dugard, L. and Verriest, E. I, Eds, Springer, New York, pp
    • Li, X. and deSouza, C. E., 1998, "Output Feedback Stabilization of Linear Time-delay Systems", in Stability and Control of Time-Delay Systems, Dugard, L. and Verriest, E. I., Eds., Springer, New York, pp. 241-258.
    • (1998) Stability and Control of Time-Delay Systems , pp. 241-258
    • Li, X.1    deSouza, C.E.2
  • 11
    • 31644433453 scopus 로고    scopus 로고
    • The Response of a Duffing-van der Pol Oscillator under Delayed Feedback Control
    • Li, X., Ji, J. C., Hansen, C. H. and Tan, C., 2006, "The Response of a Duffing-van der Pol Oscillator under Delayed Feedback Control," J Sound Vib, vol. 291, pp. 644-655.
    • (2006) J Sound Vib , vol.291 , pp. 644-655
    • Li, X.1    Ji, J.C.2    Hansen, C.H.3    Tan, C.4
  • 12
    • 0032643767 scopus 로고    scopus 로고
    • Global Stabilizability for a Class of Uncertain Systems with Multiple Time-varying Delays via Linear Control
    • Lien, C. H., Sun, Y. J. and Hsieh, J. G., 1999, "Global Stabilizability for a Class of Uncertain Systems with Multiple Time-varying Delays via Linear Control", Int. J. Control, vol. 72, pp. 904-910.
    • (1999) Int. J. Control , vol.72 , pp. 904-910
    • Lien, C.H.1    Sun, Y.J.2    Hsieh, J.G.3
  • 13
    • 0037208719 scopus 로고    scopus 로고
    • Vibration Control for the Primary Resonance of the van der Pol Oscillator by a Time Delay State Feedback
    • Maccari, A., 2003, "Vibration Control for the Primary Resonance of the van der Pol Oscillator by a Time Delay State Feedback", Int. J. Non. Linear. Mech., vol. 38, pp. 123-131.
    • (2003) Int. J. Non. Linear. Mech , vol.38 , pp. 123-131
    • Maccari, A.1
  • 14
    • 0035493290 scopus 로고    scopus 로고
    • The Response of a Parametrically Excited van der Pol Oscillator to a Time Delay State Feedback
    • Maccari, A., 2001, "The Response of a Parametrically Excited van der Pol Oscillator to a Time Delay State Feedback", Nonlinear Dyn., vol. 26, pp. 105-119.
    • (2001) Nonlinear Dyn , vol.26 , pp. 105-119
    • Maccari, A.1
  • 15
    • 12944289522 scopus 로고    scopus 로고
    • New Results on Delay-Dependent Control of Time-Delay Systems
    • Mahmoud, M. S. and Ismail, A., 2005, "New Results on Delay-Dependent Control of Time-Delay Systems" IEEE Trans. Autom. Cont., vol. 50, pp. 95-100.
    • (2005) IEEE Trans. Autom. Cont , vol.50 , pp. 95-100
    • Mahmoud, M.S.1    Ismail, A.2
  • 16
    • 0018503972 scopus 로고
    • Finite Spectrum Assignment Problem for Systems with Delays
    • Manitius, A. and Olbrot, A. W., 1979, "Finite Spectrum Assignment Problem for Systems with Delays", IEEE Trans. Auto. Cont., vol. 24, pp. 541-553.
    • (1979) IEEE Trans. Auto. Cont , vol.24 , pp. 541-553
    • Manitius, A.1    Olbrot, A.W.2
  • 18
    • 0032221707 scopus 로고    scopus 로고
    • Algebraic Interpretation of the Spectral Controllability of a Linear Delay System
    • Mounier, H., 1998, "Algebraic Interpretation of the Spectral Controllability of a Linear Delay System", Forum Math., vol. 10, pp. 39-58.
    • (1998) Forum Math , vol.10 , pp. 39-58
    • Mounier, H.1
  • 20
    • 0015414820 scopus 로고
    • On Controllability of Linear Systems with Time Delays in Control
    • Olbrot, A. W., 1972, "On Controllability of Linear Systems with Time Delays in Control", IEEE Trans. Autom. Control, vol. 17, pp. 664-666.
    • (1972) IEEE Trans. Autom. Control , vol.17 , pp. 664-666
    • Olbrot, A.W.1
  • 21
    • 0001480106 scopus 로고    scopus 로고
    • Active Vibration Control of Distributed Systems Using Delayed Resonator with Acceleration Feedback
    • Olgac, N., Elmali, H., Hosek, M. and Renzulli, M., 1997, "Active Vibration Control of Distributed Systems Using Delayed Resonator with Acceleration Feedback", J. Dyn. Syst. Meas. Control, vol. 119, pp. 380-389.
    • (1997) J. Dyn. Syst. Meas. Control , vol.119 , pp. 380-389
    • Olgac, N.1    Elmali, H.2    Hosek, M.3    Renzulli, M.4
  • 22
    • 0036576491 scopus 로고    scopus 로고
    • An Exact Method for the Stability Analysis of Time-delayed Linear Time-invariant (LTI) Systems
    • Olgac, N. and Sipahi, R., 2002, "An Exact Method for the Stability Analysis of Time-delayed Linear Time-invariant (LTI) Systems", IEEE Trans Autom Control, vol. 47, pp. 793-797.
    • (2002) IEEE Trans Autom Control , vol.47 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 23
    • 34250315551 scopus 로고
    • Continuous Control of Chaos by Self-controlling Feedback
    • Pyragas, K., 1992, "Continuous Control of Chaos by Self-controlling Feedback", Physics Letters A, vol. 170, pp. 421-428.
    • (1992) Physics Letters A , vol.170 , pp. 421-428
    • Pyragas, K.1
  • 25
    • 0034300314 scopus 로고    scopus 로고
    • Dynamics of a Limit Cycle Oscillator under Time Delayed Linear and Nonlinear Feedbacks
    • Reddy, D. V. R., Sen, A. and Johnston, G L, 2000, "Dynamics of a Limit Cycle Oscillator under Time Delayed Linear and Nonlinear Feedbacks", Phys D Nonlinear Phenom, vol. 144, pp. 335-357.
    • (2000) Phys D Nonlinear Phenom , vol.144 , pp. 335-357
    • Reddy, D.V.R.1    Sen, A.2    Johnston, G.L.3
  • 26
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay Systems: An Overview of Some Recent Advances and Open Problems
    • Richard, J. P., 2003, "Time-delay Systems: an Overview of Some Recent Advances and Open Problems", Automatica, vol. 39, pp. 1667-1964.
    • (2003) Automatica , vol.39 , pp. 1667-1964
    • Richard, J.P.1
  • 27
    • 0344495555 scopus 로고    scopus 로고
    • Sharifi, F. J., Beheshti, M. T H., 2003, Ganjefar, S. and Momeni, H., Behavior of Smith Predictor in Teleoperation Systems with Modeling and Delay Time Errors, Proceedings of 2003 IEEE Conference on Control Applications, pp. 1176-1180.
    • Sharifi, F. J., Beheshti, M. T H., 2003, Ganjefar, S. and Momeni, H., "Behavior of Smith Predictor in Teleoperation Systems with Modeling and Delay Time Errors", Proceedings of 2003 IEEE Conference on Control Applications, pp. 1176-1180.
  • 28
    • 33747770647 scopus 로고    scopus 로고
    • Robust Stability Analysis of Linear Time-delay Systems by Lambert W Function: Some Extreme Point Results
    • Shinozaki, H. and Mori, T., 2006, "Robust Stability Analysis of Linear Time-delay Systems by Lambert W Function: Some Extreme Point Results", Automatica, vol. 42, pp. 1791-1799.
    • (2006) Automatica , vol.42 , pp. 1791-1799
    • Shinozaki, H.1    Mori, T.2
  • 30
    • 0037698400 scopus 로고    scopus 로고
    • Active Vibration Suppression with Time Delayed Feedback
    • Sipahi, R. and Olgac, N, 2003, "Active Vibration Suppression with Time Delayed Feedback", Trans. ASME. J. Vib. Acoust., vol. 125, pp. 384-388.
    • (2003) Trans. ASME. J. Vib. Acoust , vol.125 , pp. 384-388
    • Sipahi, R.1    Olgac, N.2
  • 32
    • 0029267594 scopus 로고
    • Automatic Tuning of Finite Spectrum Assignment Controllers for Delay Systems
    • Wang, Q., Heng Lee, T. and Kiong Tan, K., 1995, "Automatic Tuning of Finite Spectrum Assignment Controllers for Delay Systems", Automatica, vol. 31, pp. 477-482.
    • (1995) Automatica , vol.31 , pp. 477-482
    • Wang, Q.1    Heng Lee, T.2    Kiong Tan, K.3
  • 33
    • 0036845207 scopus 로고    scopus 로고
    • The Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling
    • Wirkus, S. and Rand, R., 2002, "The Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling", Nonlinear Dyn, vol. 30, pp. 205-221.
    • (2002) Nonlinear Dyn , vol.30 , pp. 205-221
    • Wirkus, S.1    Rand, R.2
  • 34
    • 0037947648 scopus 로고    scopus 로고
    • Effects of Time Delayed Position Feedback on a van der Pol-Duffing Oscillator
    • Xu, J. and Chung, K. W., 2003, "Effects of Time Delayed Position Feedback on a van der Pol-Duffing Oscillator", Phys D Nonlinear Phenom, vol. 180, pp. 17-39.
    • (2003) Phys D Nonlinear Phenom , vol.180 , pp. 17-39
    • Xu, J.1    Chung, K.W.2
  • 35
    • 46449121513 scopus 로고    scopus 로고
    • Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W Function
    • in press
    • Yi, S., Nelson, P. W. and Ulsoy, A. G, "Controllability and Observability of Systems of Linear Delay Differential Equations via the Matrix Lambert W Function", in American Control Conference, 2007 (in press)
    • (2007) American Control Conference
    • Yi, S.1    Nelson, P.W.2    Ulsoy, A.G.3
  • 36
    • 33751298298 scopus 로고    scopus 로고
    • Solution of a System of Linear Delay Differential Equations Using the Matrix Lambert Function
    • Yi, S. and Ulsoy, A. G, 2006, "Solution of a System of Linear Delay Differential Equations Using the Matrix Lambert Function", Proceedings of American Control Conference, 2006, pp. 2433-2438.
    • (2006) Proceedings of American Control Conference , vol.2006 , pp. 2433-2438
    • Yi, S.1    Ulsoy, A.G.2
  • 37
    • 34547256518 scopus 로고    scopus 로고
    • Delay Differential Equations via the Matrix Lambert W Function and Bifurcation Analysis: Application to Machine Tool chatter
    • Yi, S., Nelson, P. W. and Ulsoy, A. G, 2007, "Delay Differential Equations via the Matrix Lambert W Function and Bifurcation Analysis: Application to Machine Tool chatter", Math. Biosci. Eng., vol. 4, pp. 355-368.
    • (2007) Math. Biosci. Eng , vol.4 , pp. 355-368
    • Yi, S.1    Nelson, P.W.2    Ulsoy, A.G.3
  • 39
    • 44949148456 scopus 로고    scopus 로고
    • Analysis of Systems of Linear Delay Differential Equations Using the Matrix Lambert W Function and the Laplace Transformation
    • in press
    • Yi, S., Ulsoy, A. G. and Nelson, P. W., "Analysis of Systems of Linear Delay Differential Equations Using the Matrix Lambert W Function and the Laplace Transformation", Automatica, 2007 (in press).
    • (2007) Automatica
    • Yi, S.1    Ulsoy, A.G.2    Nelson, P.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.