메뉴 건너뛰기




Volumn 2, Issue , 2003, Pages 1536-1541

Control of Underactuated Driftless Systems Using Higher-Order Averaging Theory

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONTROL SYSTEMS; FUNCTIONS; LYAPUNOV METHODS; THEOREM PROVING;

EID: 0142200316     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (6)

References (24)
  • 2
    • 84940252991 scopus 로고
    • On the exponential solutions of differential equations for a linear operator
    • Magnus W. On the exponential solutions of differential equations for a linear operator. Comm. Pure Appl. Math., VII:649-673, 1954.
    • (1954) Comm. Pure Appl. Math. , vol.7 , pp. 649-673
    • Magnus, W.1
  • 3
    • 0000343343 scopus 로고
    • Integration of paths, geometric invariants and a generalized baker-hausdorff formula
    • Chen K. Integration of paths, geometric invariants and a generalized baker-hausdorff formula. The Annals of Mathematics, 65(1):163-178, 1957.
    • (1957) The Annals of Mathematics , vol.65 , Issue.1 , pp. 163-178
    • Chen, K.1
  • 4
    • 84956258691 scopus 로고
    • The exponential representation of flows and the chronological calculus
    • Agračhev A. and Gamkrelidze R. The exponential representation of flows and the chronological calculus, USSR Sbornik, 35(6):727-785, 1978.
    • (1978) USSR Sbornik , vol.35 , Issue.6 , pp. 727-785
    • Agračhev, A.1    Gamkrelidze, R.2
  • 5
    • 0002038341 scopus 로고    scopus 로고
    • Noncommutative power series and formal lie-algebraic techniques in in nonlinear control theory
    • D. Pratzel-Wolters U. Helmke and E. Zerz, editors. Teubner
    • Kawski M. and Sussman H. Noncommutative power series and formal lie-algebraic techniques in in nonlinear control theory. In D. Pratzel-Wolters U. Helmke and E. Zerz, editors, Operators, Systems, and Linear Algebra, pages 111-128. Teubner, 1997.
    • (1997) Operators, Systems, and Linear Algebra , pp. 111-128
    • Kawski, M.1    Sussman, H.2
  • 7
    • 0026673740 scopus 로고
    • Limits of highly oscillatory controls and the approximation of general paths by admissible trajectories
    • Sussman H.J. and Liu W.S. Limits of highly oscillatory controls and the approximation of general paths by admissible trajectories. IEEE Conf. Dec. Contr., pages 437-442, 1991.
    • (1991) IEEE Conf. Dec. Contr. , pp. 437-442
    • Sussman, H.J.1    Liu, W.S.2
  • 8
    • 0031275405 scopus 로고    scopus 로고
    • Averaging theorems for highly oscillatory differential equations and iterated lie brackets
    • Liu W.S. Averaging theorems for highly oscillatory differential equations and iterated lie brackets. SIAM J. Contr. Opt., 35(6):1989-2020, 1997.
    • (1997) SIAM J. Contr. Opt. , vol.35 , Issue.6 , pp. 1989-2020
    • Liu, W.S.1
  • 9
    • 0037246344 scopus 로고    scopus 로고
    • Averaging and vibrational control of mechanical systems
    • Bullo F. Averaging and vibrational control of mechanical systems. SIAM J. Contr. Opt., 41(2):542-62, 2002.
    • (2002) SIAM J. Contr. Opt. , vol.41 , Issue.2 , pp. 542-562
    • Bullo, F.1
  • 10
    • 0036208264 scopus 로고    scopus 로고
    • Series expansions for the evolution of mechanical control systems
    • Bullo F. Series expansions for the evolution of mechanical control systems. SIAM J. Contr. Opt., 40(1):166-190, 2001.
    • (2001) SIAM J. Contr. Opt. , vol.40 , Issue.1 , pp. 166-190
    • Bullo, F.1
  • 11
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • Birkhauser
    • Brockett R.W. Asymptotic stability and feedback stabilization. In Differential Geometric Control Theory, pages 181-91. Birkhauser, 1993.
    • (1993) Differential Geometric Control Theory , pp. 181-191
    • Brockett, R.W.1
  • 12
    • 0027590367 scopus 로고
    • Nonholonommic motion planning: Steering using sinusoids
    • Murray R.M. and Sastry S.S. Nonholonommic motion planning: Steering using sinusoids. IEEE Trans. Aut. Contr., 38(5):700-716, 1993.
    • (1993) IEEE Trans. Aut. Contr. , vol.38 , Issue.5 , pp. 700-716
    • Murray, R.M.1    Sastry, S.S.2
  • 13
    • 0002433662 scopus 로고
    • Nonholonomic kinematics and the role of elliptice functions in constructive controllability
    • Kluwer
    • Brocket R.W. and Dai L. Nonholonomic kinematics and the role of elliptice functions in constructive controllability. In Progress in Nonholonomic Motion Planning, pages 1-22, Kluwer, 1992.
    • (1992) Progress in Nonholonomic Motion Planning , pp. 1-22
    • Brocket, R.W.1    Dai, L.2
  • 14
    • 0142257335 scopus 로고
    • High-order averaging on lie groups and control of an autonomous underwater vehicle
    • Leonard N.E. and Krishnaprasad P.S. High-order averaging on lie groups and control of an autonomous underwater vehicle. UMD T.R. 93-70, 1993.
    • (1993) UMD T.R. , vol.93 , Issue.70
    • Leonard, N.E.1    Krishnaprasad, P.S.2
  • 15
    • 0031145089 scopus 로고    scopus 로고
    • Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
    • M'Closkey R.T. and Murray R.M. Exponential stabilization of driftless nonlinear control systems using homogeneous feedback. IEEE Trans. Aut. Contr., 42(5):614-28, 1997.
    • (1997) IEEE Trans. Aut. Contr. , vol.42 , Issue.5 , pp. 614-628
    • M'Closkey, R.T.1    Murray, R.M.2
  • 16
    • 0013250804 scopus 로고    scopus 로고
    • Design of homogeneous time-varying stabilizing control laws for driftless controllable systems via oscillatory approximation of lie brackets in closed loop
    • Morin P., Pomet J.-B., and Samson C. Design of homogeneous time-varying stabilizing control laws for driftless controllable systems via oscillatory approximation of lie brackets in closed loop. SIAM J. Contr. Opt., 38(1):22-49, 1999.
    • (1999) SIAM J. Contr. Opt. , vol.38 , Issue.1 , pp. 22-49
    • Morin, P.1    Pomet, J.-B.2    Samson, C.3
  • 17
    • 84928188350 scopus 로고
    • Exponential stabilization of modile robots with nonholonomic constraints
    • Canudas de Wait C. and Sordalen O.J. Exponential stabilization of modile robots with nonholonomic constraints. IEEE Trans. Aut. Contr., 37(11):1791-7, 1992.
    • (1992) IEEE Trans. Aut. Contr. , vol.37 , Issue.11 , pp. 1791-1797
    • Canudas de Wait, C.1    Sordalen, O.J.2
  • 18
    • 0029231206 scopus 로고
    • Exponential stabilization of nonholonomic chanied systems
    • Sordalen O.J. and Egeland O. Exponential stabilization of nonholonomic chanied systems. IEEE Trans. Aut. Contr., 40(1):35-49, 1995.
    • (1995) IEEE Trans. Aut. Contr. , vol.40 , Issue.1 , pp. 35-49
    • Sordalen, O.J.1    Egeland, O.2
  • 20
    • 0029394227 scopus 로고
    • Nonholonomic control systems: From steering to stabilization with sinusoids
    • Teel A.R., Murray R.M., and Walsh G.G. Nonholonomic control systems: From steering to stabilization with sinusoids. Int. J. Cont., 62(4):849-870, 1995.
    • (1995) Int. J. Cont. , vol.62 , Issue.4 , pp. 849-870
    • Teel, A.R.1    Murray, R.M.2    Walsh, G.G.3
  • 21
    • 4244042866 scopus 로고    scopus 로고
    • Motion control algorithms for simple mechanical systems with symmetry
    • Martínez S. and Cortés J. Motion control algorithms for simple mechanical systems with symmetry, submitted to Acta Applicandae Mathematicae, 2001.
    • (2001) Acta Applicandae Mathematicae
    • Martínez, S.1    Cortés, J.2
  • 22
    • 0036058046 scopus 로고    scopus 로고
    • Second order averaging methods for oscillatory control of underactuated mechanical systems
    • Vela P.A., Morgansen K.A., and Burdick J.W. Second order averaging methods for oscillatory control of underactuated mechanical systems. Proc. Amer. Contr. Conf., 2002.
    • (2002) Proc. Amer. Contr. Conf.
    • Vela, P.A.1    Morgansen, K.A.2    Burdick, J.W.3
  • 24
    • 0142226281 scopus 로고    scopus 로고
    • Control of underactuated mechanical systems via averaging theory
    • Vela P.A. and Burdick J.W. Control of underactuated mechanical systems via averaging theory, to appear IEEE Int. Conf. Rob. Aut., 2002.
    • (2002) IEEE Int. Conf. Rob. Aut.
    • Vela, P.A.1    Burdick, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.