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Date:
28 Sep 2007
Energy shaping control revisited
 Romeo Ortega,
 Arjan J. van der Schaft,
 Iven Mareels,
 Bernhard Maschke
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 J. C. Willems, “Paradigms and puzzles in the theory of dynamical systems,” IEEE Trans. Automat. Contr., 36, pp. 259–294, 1991. CrossRef
 A. J., van der Schaft, L _{2}Gain and Passivity Techniques in Nonlinear Control, SpringerVerlag, Berlin, 1999.
 M. Takegaki and S. Arimoto, “A new feedback method for dynamic control of manipulators,” ASME J. Dyn. Syst. Meas. Cont., 102, pp. 119–125, 1981.
 E. Jonckheere, “Lagrangian theory of large scale systems,” Proc. European Conf. Circuit Th. and Design, The Hague, The Netherlands, pp. 626–629, 1981.
 J. J. Slotine, “Putting physics in control — The example of robotics,” IEEE Control Syst. Magazine, 8, 6, pp. 12–17, 1988. CrossRef
 N. Hogan, “Impedance control: an approach to manipulation: part 1 — Theory,” ASME J. Dyn. Syst. Measure and Control, 107, pp 1–7, March 1985. CrossRef
 R. Ortega and M. Spong, “Adaptive motion control of rigid robots: A tutorial,” Automatica, 25, 6, pp. 877–888, 1989. CrossRef
 R. Ortega, A. van der Schaft, B. Maschke and G. Escobar, “Interconnection and damping assignment passivity based control of portcontrolled Hamiltonian systems,” Automatica, (to be published).
 R. Ortega, A. Loria, P. J. Nicklasson and H. SiraRamirez, Passivitybased Control of EulerLagrange Systems, SpringerVerlag, Berlin, Communications and Control Engineering, Sept. 1998.
 V. Petrovic, R. Ortega, A. Stankovic and G. Tadmor, “Design and implementation of an adaptive controller for torque ripple minimization in PM synchronous motors”, IEEE Trans. on Power Electronics, Vol. 15, No. 5, Sept. 2000, pp. 871–880. CrossRef
 H. Berghuis and H. Nijmeijer, “A passivity approach to controllerobserver design for robots,” IEEE Trans. on Robotics and Automation, 9, 6, pp. 740–754, 1993. CrossRef
 L. Lanari and J. Wen, “Asymptotically stable set point control laws for flexible robots,” Systems and Control Letters, 19, 1992.
 A. Sorensen and O. Egeland, “Design of ride control system for surface effect ships using dissipative control,” Automatica, 31, 2, pp. 183–1999, 1995. CrossRef
 R. Prasanth and R. Mehra, “Nonlinear servoelastic control using EulerLagrange theory,” Proc. Int. Conf. American Inst. Aeronautics and Astronautics, Detroit, pp. 837–847, Aug, 1999.
 R. Akemialwati and I. Mareels, “Flight control systems using passivitybased control: Disturbance rejection and robustness analysis,” Proc. Int. Conf. American Inst. Aeronautics and Astronautics, Detroit, Aug, 1999.
 B. M. Maschke, R. Ortega and A. J. van der Schaft, “Energybased Lyapunov functions for forced Hamiltonian systems with dissipation,” IEEE Conf. Dec. and Control, Tampa, FL, Dec. 1998. Also IEEE Trans. Automat. Contr., (to appear).
 R. Ortega, A. van der Schaft, B. Maschke and G. Escobar, “Energyshaping of portcontrolled Hamiltonian systems by interconnection,” IEEE Conf. Dec. and Control, Phoenix, AZ, Dec. 1999.
 R. Ortega, A. Astolfi, G. Bastin and H. Rodriguez, “Outputfeedback regulation of massbalance systems,” in New Directions in Nonlinear Observer Design, eds. H. Nijmeijer and T. Fossen, SpringerVerlag, Berlin, 1999.
 V. Petrovic, R. Ortega and A. Stankovic, “A globally convergent energybased controller for PM synchronous motors,” CDC'99, Phoenix, AZ, Dec. 7–10, 1999. Also to appear in IEEE Trans. on Control Syst. Technology.
 R. Ortega, M. Galaz, A. Bazanella and A. Stankovic, “Output feedback stabilization of the singlegeneratorinfinitebus system,” (under preparation).
 H. Rodriguez, R. Ortega and I. Mareels, “Nonlinear control of magnetic levitation sysstems via energy balancing,” ACC 2000, Chicago, June 2000.
 H. Rodriguez, R. Ortega, G. Escobar and N. Barabanov, “A robustly stable output feedback saturated controller for the boost DCtoDC converter,” Systems and Control Letters, 40, 1, pp. 1–6, 2000. CrossRef
 J. Scherpen, and R. Ortega, “Disturbance attenuation properties of nonlinear controllers for EulerLagrange systems,” Systems and Control Letters., 29, 6, pp. 300–308, March 1997.
 A. Rodriguez, R. Ortega and G. Espinosa, “Adaptive control of nonfeedback linearizable systems,” 11th World IFAC Congress, Aug. 13–17, Tallinn, 1990.
 P. Kokotovic and H. Sussmann, “A positive real condition for global stabilization of Nonlinear systems,” Systems and Control Letters, 13, 4, pp. 125–133, 1989. CrossRef
 R. Sepulchre, M. Jankovic and P. Kokotovic, Constructive Nonlinear Control, SpringerVerlag Series on Communications and Control Engineering, SpringerVerlag, London, 1997.
 M. Krstić, I. Kanellakopoulos and P. V. Kokotović, Nonlinear and Adaptive Control Design, Wiley, New York, 1995.
 R. Ortega and M. Spong, “Stabilization of underactuated mechanical systems using interconnection and damping assignment,” IFAC Work. on Lagrangian and Hamiltonian Methods in Nonlinear Control, Princeton, NJ, March 15–17, 2000.
 A. Bloch, N. Leonhard and J. Marsden, “Controlled Lagrangians and the stabilization of mechanical systems,” Proc. IEEE Conf. Decision and Control, Tampa, FL, Dec. 1998.
 M. Spong and L. Praly, “Control of underactuated mechanical systems using switching and saturation,” in Control Using Logicbased Switching, Ed. A. S. Morse, Springer, Lecture Notes No. 222, pp. 162–172, 1996.
 D. Hill and P. Moylan, “The stability of nonlinear dissipative systems,” IEEE Trans. Automat. Contr., pp. 708–711, 1976.
 M. Dalsmo and A.J. van der Schaft, “On representations and integrability of mathematical structures in energyconserving physical systems,” SIAM J. on Optimization and Control, Vol.37, No. 1, 1999.
 J. Marsden and T. Ratiu, Introduction to Mechanics and Symmetry, Springer, New York, 1994.
 R. Ortega, A. Loria, R. Kelly and L. Praly, “On output feedback global stabilization of EulerLagrange systems,” Int. J. of Robust and Nonlinear Cont., Special Issue on Mechanical Systems, Eds. H. Nijmeijer and A. van der Schaft, 5, 4, pp. 313–324, July 1995.
 S. Stramigioli, B. M. Maschke and A. J. van der Schaft, “Passive output feedback and port interconnection,” Proc. 4th IFAC Symp. on Nonlinear Control Systems design, NOLCOS'98, pp. 613–618, Enschede, July 1–3, 1998.
 A.M. Bloch, N.E. Leonard, J.E. Marsden, “Potential shaping and the method of controlled Lagrangians,” 38th Conf. Decision and Control, Phoenix, Arizona, pp. 1652–1657, 1999.
 D. Auckly, L. Kapitanski, W. White, “Control of nonlinear underactuated systems,” Communications on Pure and Applied Mathematics, Vol. LIII, 2000.
 J. Hamberg, “General matching conditions in the theory of controlled Lagrangians,” 38th Conf. Decision and Control, Phoenix, Arizona, pp. 2519–2523, 1999.
 Title
 Energy shaping control revisited
 Book Title
 Advances in the control of nonlinear systems
 Pages
 pp 277307
 Copyright
 2001
 DOI
 10.1007/BFb0110388
 Print ISBN
 9781852333782
 Online ISBN
 9781846285707
 Series Title
 Lecture Notes in Control and Information Sciences
 Series Volume
 264
 Series ISSN
 01708643
 Publisher
 Springer London
 Copyright Holder
 SpringerVerlag London Limited
 Additional Links
 Topics
 eBook Packages
 Editors
 Authors

 Romeo Ortega ^{(1)}
 Arjan J. van der Schaft ^{(2)}
 Iven Mareels ^{(3)}
 Bernhard Maschke ^{(4)}
 Author Affiliations

 1. Lab. des Signaux et Systèmes, CNRSSUPELEC, GifsurYvette, France
 2. Fac. of Mathematical Sciences, University of Twente, Enschede, The Netherlands
 3. Dept. Electrical and Computer Engineering, University of Melbourne, Australia
 4. Automatisme Industriel, Paris, France
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