메뉴 건너뛰기




Volumn 51, Issue 9, 2006, Pages 1440-1456

Global-stabilizing near-optimal control design for nonholonomic chained systems

Author keywords

Near optimal control; Nonholonomic chained systems; Output feedback; State feedback; Tracking control

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONTROL SYSTEM SYNTHESIS; ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POLES AND ZEROS; STATE FEEDBACK; SYSTEMS ANALYSIS; VECTORS;

EID: 33748988498     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.880965     Document Type: Article
Times cited : (55)

References (39)
  • 1
    • 0029547674 scopus 로고
    • "Developments in nonholonomic control problems"
    • Dec
    • I. Kolmanovsky and N. H. McClamroch, "Developments in nonholonomic control problems," IEEE Control Syst. Mag., vol. 15, no. 6, pp. 20-36, Dec. 1995.
    • (1995) IEEE Control Syst. Mag. , vol.15 , Issue.6 , pp. 20-36
    • Kolmanovsky, I.1    McClamroch, N.H.2
  • 2
    • 0027590367 scopus 로고
    • "Nonholonomic motion planning: Steering using sinusoids"
    • May
    • R. M. Murray and S. S. Sastry, "Nonholonomic motion planning: Steering using sinusoids," IEEE Trans. Autom. Control, vol. 38, no. 5, pp. 700-716, May 1993.
    • (1993) IEEE Trans. Autom. Control , vol.38 , Issue.5 , pp. 700-716
    • Murray, R.M.1    Sastry, S.S.2
  • 3
    • 0003156005 scopus 로고
    • "Nonholonomic control systems: From steering to stabilization with sinusoids"
    • Tucson, AZ, Dec
    • A. R. Teel, R. M. Murray, and G. Walsh, "Nonholonomic control systems: From steering to stabilization with sinusoids," in Proc. 31st IEEE Conf. Decision and Control, Tucson, AZ, Dec. 1992, pp. 1603-1609.
    • (1992) Proc. 31st IEEE Conf. Decision and Control , pp. 1603-1609
    • Teel, A.R.1    Murray, R.M.2    Walsh, G.3
  • 4
    • 0029234888 scopus 로고
    • "Control of chained systems: Application to path following and time-varying point-stabilization of mobile robots"
    • Jan
    • C. Samson, "Control of chained systems: Application to path following and time-varying point-stabilization of mobile robots," IEEE Trans. Autom. Control, vol. 40, no. 1, pp. 64-77, Jan. 1995.
    • (1995) IEEE Trans. Autom. Control , vol.40 , Issue.1 , pp. 64-77
    • Samson, C.1
  • 5
    • 0029746518 scopus 로고    scopus 로고
    • "Switched mode feedback control laws for nonholonomic systems in extended power form"
    • I. Kolmanovsky, M. Reyhanoglu, and N. H. McClamroch, "Switched mode feedback control laws for nonholonomic systems in extended power form," Syst. Control Lett., vol. 27, pp. 29-36, 1996.
    • (1996) Syst. Control Lett. , vol.27 , pp. 29-36
    • Kolmanovsky, I.1    Reyhanoglu, M.2    McClamroch, N.H.3
  • 6
    • 0001215663 scopus 로고
    • "Asymptotic stability and feedback stabilization"
    • R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhäuser
    • R. W. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhäuser, 1983, pp. 181-191.
    • (1983) Differential Geometric Control Theory , pp. 181-191
    • Brockett, R.W.1
  • 7
    • 0029727003 scopus 로고    scopus 로고
    • "Discontinuous control of nonholonomic systems"
    • A. Astolfi, "Discontinuous control of nonholonomic systems," Syst. Control Lett., vol. 27, pp. 37-45, 1996.
    • (1996) Syst. Control Lett. , vol.27 , pp. 37-45
    • Astolfi, A.1
  • 8
    • 0037295223 scopus 로고    scopus 로고
    • "Discontinuous exponential stabilization of chained form systems"
    • N. March and M. Alamir, "Discontinuous exponential stabilization of chained form systems," Automatica, vol. 39, pp. 343-348, 2003.
    • (2003) Automatica , vol.39 , pp. 343-348
    • March, N.1    Alamir, M.2
  • 9
    • 0002609216 scopus 로고    scopus 로고
    • "Control design for chained-form systems with bounded inputs"
    • J. Luo and P. Tsiotras, "Control design for chained-form systems with bounded inputs," Syst. Control Lett., vol. 39, pp. 123-131, 2000.
    • (2000) Syst. Control Lett. , vol.39 , pp. 123-131
    • Luo, J.1    Tsiotras, P.2
  • 10
    • 79955139526 scopus 로고
    • "Control and stabilization of nonholonomic dynamic systems"
    • Nov
    • A. Bloch, M. Reyhanoglu, and N. McClamroch, "Control and stabilization of nonholonomic dynamic systems," IEEE Trans. Autom. Control, vol. 37, no. 11, pp. 1746-1757, Nov. 1992.
    • (1992) IEEE Trans. Autom. Control , vol.37 , Issue.11 , pp. 1746-1757
    • Bloch, A.1    Reyhanoglu, M.2    McClamroch, N.3
  • 11
    • 0002856941 scopus 로고    scopus 로고
    • "Stabilization and tracking in the nonholonomic integrator via sliding modes"
    • A. Bloch and S. Drakunov, "Stabilization and tracking in the nonholonomic integrator via sliding modes," Syst. Control Lett., vol. 29, pp. 91-99, 1996.
    • (1996) Syst. Control Lett. , vol.29 , pp. 91-99
    • Bloch, A.1    Drakunov, S.2
  • 12
    • 0032157448 scopus 로고    scopus 로고
    • "Exponentially convergent control laws for nonholonomic systems in power form"
    • J. Luo and P. Tsiotras, "Exponentially convergent control laws for nonholonomic systems in power form," Syst. Control Lett., vol. 35, pp. 87-95, 1998.
    • (1998) Syst. Control Lett. , vol.35 , pp. 87-95
    • Luo, J.1    Tsiotras, P.2
  • 13
    • 0026817788 scopus 로고
    • "Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift"
    • J.-B. Pomet, "Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift," Syst. Control Lett., vol. 18, pp. 147-158, 1992.
    • (1992) Syst. Control Lett. , vol.18 , pp. 147-158
    • Pomet, J.-B.1
  • 14
    • 0034438681 scopus 로고    scopus 로고
    • "Smooth exponential stabilization of nonholonomic systems via time-varying feedback"
    • Sydney, Australia, Dec
    • Y. P. Tian and S. Li, "Smooth exponential stabilization of nonholonomic systems via time-varying feedback," in Proc. 39th IEEE Conf. Decision and Control, Sydney, Australia, Dec. 2000, pp. 1912-1917.
    • (2000) Proc. 39th IEEE Conf. Decision and Control , pp. 1912-1917
    • Tian, Y.P.1    Li, S.2
  • 15
    • 0031145089 scopus 로고    scopus 로고
    • "Exponential stabilization of driftless nonlinear control systems using homogeneous feedback"
    • May
    • R. T. MCloskey and R. M. Murray, "Exponential stabilization of driftless nonlinear control systems using homogeneous feedback," IEEE Trans. Autom. Control, vol. 42, no. 5, pp. 614-628, May 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.5 , pp. 614-628
    • MCloskey, R.T.1    Murray, R.M.2
  • 16
    • 0033893932 scopus 로고    scopus 로고
    • "Control of nonlinear chained systems: From the routh-hurwitz stability criterion to time-varying exponential stabilizers"
    • Jan
    • P. Morin and C. Samson, "Control of nonlinear chained systems: From the routh-hurwitz stability criterion to time-varying exponential stabilizers," IEEE Trans. Autom. Control, vol. 45, no. 1, pp. 141-146, Jan. 2000.
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.1 , pp. 141-146
    • Morin, P.1    Samson, C.2
  • 17
    • 0034326055 scopus 로고    scopus 로고
    • "Global exponential setpoint control of wheeled mobile robots: A lyapunov approach"
    • W. E. Dixon, Z. P. Jiang, and D. M. Dawson, "Global exponential setpoint control of wheeled mobile robots: A lyapunov approach," Automatica, vol. 36, pp. 1741-1746, 2000.
    • (2000) Automatica , vol.36 , pp. 1741-1746
    • Dixon, W.E.1    Jiang, Z.P.2    Dawson, D.M.3
  • 18
    • 0030243937 scopus 로고    scopus 로고
    • "Hybrid feedback laws for a class of cascade nonlinear control systems"
    • Sep
    • I. Kolmanovsky and N. H. McClamroch, "Hybrid feedback laws for a class of cascade nonlinear control systems," IEEE Trans. Autom. Control, vol. 41, no. 9, pp. 1271-1282, Sep. 1996.
    • (1996) IEEE Trans. Autom. Control , vol.41 , Issue.9 , pp. 1271-1282
    • Kolmanovsky, I.1    McClamroch, N.H.2
  • 19
    • 0029231206 scopus 로고
    • "Exponential stabilization of nonholonomic chained systems"
    • Jan
    • O. J. Sordalen and O. Egeland, "Exponential stabilization of nonholonomic chained systems," IEEE Trans. Autom. Control, vol. 40, no. 1, pp. 35-49, Jan. 1995.
    • (1995) IEEE Trans. Autom. Control , vol.40 , Issue.1 , pp. 35-49
    • Sordalen, O.J.1    Egeland, O.2
  • 20
    • 0141638587 scopus 로고    scopus 로고
    • "Practical stabilization of driftless systems on lie groups: The transverse function approach"
    • Sep
    • P. Morin and C. Samson, "Practical stabilization of driftless systems on lie groups: The transverse function approach," IEEE Trans. Autom. Control, vol. 48, no. 9, pp. 1496-1508, Sep. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.9 , pp. 1496-1508
    • Morin, P.1    Samson, C.2
  • 21
    • 0028257450 scopus 로고
    • "Stabilization of trajectories for systems with nonholonomic constraints"
    • Jan
    • G. Walsh, D. Tilbury, S. Sastry, R. Murray, and J. Laumond, "Stabilization of trajectories for systems with nonholonomic constraints," IEEE Trans. Autom. Control, vol. 39, no. 1, pp. 216-222, Jan. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.1 , pp. 216-222
    • Walsh, G.1    Tilbury, D.2    Sastry, S.3    Murray, R.4    Laumond, J.5
  • 23
    • 0033078293 scopus 로고    scopus 로고
    • "A recursive technique for tracking control of nonholonomic systems in chained form"
    • Feb
    • Z. P. Jiang and H. Nijmeijer, "A recursive technique for tracking control of nonholonomic systems in chained form," IEEE Trans. Autom. Control, vol. 44, no. 2, pp. 265-279, Feb. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.2 , pp. 265-279
    • Jiang, Z.P.1    Nijmeijer, H.2
  • 24
    • 0031186936 scopus 로고    scopus 로고
    • "Tracking control of mobile robots: A case study in backstepping"
    • Z. P. Jiang and H. Nijmeijer, "Tracking control of mobile robots: A case study in backstepping," Automatica, vol. 33, pp. 1393-1399, 1997.
    • (1997) Automatica , vol.33 , pp. 1393-1399
    • Jiang, Z.P.1    Nijmeijer, H.2
  • 25
    • 0034659591 scopus 로고    scopus 로고
    • "Lyapunov design of global state and output feedback trackers for nonholonomic control systems"
    • Z. P. Jiang, "Lyapunov design of global state and output feedback trackers for nonholonomic control systems," Int. J. Control, vol. 73, pp. 744-761, 2000.
    • (2000) Int. J. Control , vol.73 , pp. 744-761
    • Jiang, Z.P.1
  • 26
    • 0034166033 scopus 로고    scopus 로고
    • "Linear controllers for exponential tracking of systems in chained-form"
    • E. Lefeber, A. Robertsson, and H. Nijmeijer, "Linear controllers for exponential tracking of systems in chained-form," Int. J. Robust Nonlinear Control, vol. 10, pp. 243-263, 2000.
    • (2000) Int. J. Robust Nonlinear Control , vol.10 , pp. 243-263
    • Lefeber, E.1    Robertsson, A.2    Nijmeijer, H.3
  • 27
    • 0036859110 scopus 로고    scopus 로고
    • "Wmr control via dynamic feedback linearization: Design, implementation and experimental validation"
    • Nov
    • G. Oriolo, A. De Luca, and M. Vendittelli, "Wmr control via dynamic feedback linearization: Design, implementation and experimental validation," IEEE Trans. Control Syst. Technol., vol. 10, no. 6, pp. 835-852, Nov. 2002.
    • (2002) IEEE Trans. Control Syst. Technol. , vol.10 , Issue.6 , pp. 835-852
    • Oriolo, G.1    De Luca, A.2    Vendittelli, M.3
  • 28
    • 0033906661 scopus 로고    scopus 로고
    • "Global exponential tracking control of a mobile robot system via a pe condition"
    • Feb
    • W. E. Dixon, D. M. Dawson, F. Zhang, and E. Zergeroglu, "Global exponential tracking control of a mobile robot system via a pe condition," IEEE Trans. Syst., Man, Cybern, B, Cybern., vol. 30, no. 1, pp. 129-142, Feb. 2000.
    • (2000) IEEE Trans. Syst., Man, Cybern, B, Cybern. , vol.30 , Issue.1 , pp. 129-142
    • Dixon, W.E.1    Dawson, D.M.2    Zhang, F.3    Zergeroglu, E.4
  • 29
    • 0035271710 scopus 로고    scopus 로고
    • "Tracking control of unicycle-modeled mobile robots using a saturation feedback controller"
    • Mar
    • T. C. Lee, K. Song, C. H. Lee, and C. C. Teng, "Tracking control of unicycle-modeled mobile robots using a saturation feedback controller," IEEE Trans. Control Syst. Technol., vol. 9, no. 2, pp. 305-318, Mar. 2001.
    • (2001) IEEE Trans. Control Syst. Technol. , vol.9 , Issue.2 , pp. 305-318
    • Lee, T.C.1    Song, K.2    Lee, C.H.3    Teng, C.C.4
  • 30
    • 0003306287 scopus 로고    scopus 로고
    • "Observer-controllder design for global tracking of nonholonomic systems"
    • New York: Springer-Verlag
    • Z. P. Jiang and H. Nijmeijer, "Observer-controllder design for global tracking of nonholonomic systems," in New Trends in Nonlinear Observer Design. New York: Springer-Verlag, 2000.
    • (2000) New Trends in Nonlinear Observer Design
    • Jiang, Z.P.1    Nijmeijer, H.2
  • 34
  • 35
    • 84984131619 scopus 로고
    • "Control system analysis and design via the "second method" of lyapunov i. continuous-time systems"
    • R. E. Kalman and J. E. Bertram, "Control system analysis and design via the "second method" of lyapunov i. continuous-time systems," J. Basic Eng., vol. 82D, pp. 371-393, 1960.
    • (1960) J. Basic Eng. , vol.82 D , pp. 371-393
    • Kalman, R.E.1    Bertram, J.E.2
  • 36
    • 33748994422 scopus 로고    scopus 로고
    • A global-stabilizing near-optimal control design for real-time trajectory tracking and regulation of nonholonomic chained systems School EECS
    • Univ. Central Florida, Orlando, FL, Tech. Rep., [Online]. Available
    • Z. Qu, J. Wang, C. E. Plaisted, and R. A. Hull, A global-stabilizing near-optimal control design for real-time trajectory tracking and regulation of nonholonomic chained systems School EECS, Univ. Central Florida, Orlando, FL, Tech. Rep., 2005 [Online]. Available: http://people.cecs.ucf.edu/qu/TR-tracking2005.pdf
    • (2005)
    • Qu, Z.1    Wang, J.2    Plaisted, C.E.3    Hull, R.A.4
  • 37
    • 0014550589 scopus 로고
    • "New results in linear system stability"
    • B. D. O. Anderson and J. B. Moore, "New results in linear system stability," SIAM J. Control, vol. 7, pp. 398-415, 1969.
    • (1969) SIAM J. Control , vol.7 , pp. 398-415
    • Anderson, B.D.O.1    Moore, J.B.2
  • 38
    • 10944222960 scopus 로고    scopus 로고
    • "A new analytical solution to mobile robot trajectory generation in the presence of moving obstacles"
    • Dec
    • Z. Qu, J. Wang, and C. E. Plaisted, "A new analytical solution to mobile robot trajectory generation in the presence of moving obstacles," IEEE Trans. Robot., vol. 20, no. 6, pp. 978-993, Dec. 2004.
    • (2004) IEEE Trans. Robot. , vol.20 , Issue.6 , pp. 978-993
    • Qu, Z.1    Wang, J.2    Plaisted, C.E.3
  • 39
    • 0001657140 scopus 로고    scopus 로고
    • "Feedback control of a nonholonomic car-like robot"
    • J.-P. Laumond, Ed. London, U.K.: Springer-Verlag
    • A. D. Luca, G. Oriolo, and C. Samson, "Feedback control of a nonholonomic car-like robot," in Robot Motion Planning and Control, J.-P. Laumond, Ed. London, U.K.: Springer-Verlag, 1998, pp. 171-253.
    • (1998) Robot Motion Planning and Control , pp. 171-253
    • Luca, A.D.1    Oriolo, G.2    Samson, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.