Authors

Cesáreo Raimúndez, Antonio Barreiro, Alejandro Fernández

Abstract

This paper focuses on the use of reset control as an alternative way of obtaining dissipation for a class of port-Hamiltonian systems. One advantage of this approach is the simplicity of its implementation, since it requires only a velocity observer. Another advantage is its robustness, as it can be calculated independently of the plant structure. A gantry crane is selected as case study, yielding simulation and experimental results that show the good performance of this method.

Citation

  • Journal: 2009 European Control Conference (ECC)
  • Year: 2009
  • Volume:
  • Issue:
  • Pages: 4919–4924
  • Publisher: IEEE
  • DOI: 10.23919/ecc.2009.7075179

BibTeX

@inproceedings{Raim_ndez_2009,
  title={{Reset control for injecting dissipation into port-hamiltonian systems}},
  DOI={10.23919/ecc.2009.7075179},
  booktitle={{2009 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Raimúndez, Cesáreo and Barreiro, Antonio and Fernández, Alejandro},
  year={2009},
  pages={4919--4924}
}

Download the bib file

References

  • fernández, Reset control for passive teleoperation. Proc IEEE Ind Electron Conference (IECON) (2008)
  • zheng, Improved reset control design for a PZT positioning stage. 16th Int Conf on Control Applications (2007)
  • clegg, A nonlinear integrator for servomechnisms. Transactions A I E E m Part II (1958)
  • van der schaft, L2-Gain and Passivity Techniques in Nonlinear Control. Revised and Enlarged Edition (2000)
  • HOROWITZ I, ROSENBAUM† P (1975) Non-linear design for cost of feedback reduction in systems with large parameter uncertainty †. International Journal of Control 21(6):977–1001. https://doi.org/10.1080/00207177508922051 – 10.1080/00207177508922051
  • guo, Stability analysis, design and application of reset control. 2007 Int Conf on Control and Automation (2007)
  • neši?, Stability properties of reset systems. Proc of 16th IFAC World Congress (2005)
  • carrasco, A passivity approach to reset control on nonlinear systems. Proc IEEE Ind Electron Conference (IECON) (2008)
  • Ortega R, van der Schaft A, Maschke B, Escobar G (2002) Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38(4):585–596. https://doi.org/10.1016/s0005-1098(01)00278-3 – 10.1016/s0005-1098(01)00278-3
  • Bupp RT, Bernstein DS, Coppola VT (1998) Experimental implementation of integrator backstepping and passive nonlinear controllers on the RTAC testbed. Int J Robust Nonlinear Control 8(4-5):435–457. https://doi.org/10.1002/(sici)1099-1239(19980415/30)8:4/5<435::aid-rnc355>3.0.co;2-4 – 10.1002/(sici)1099-1239(19980415/30)8:4/5<435::aid-rnc355>3.0.co;2-4
  • ortega, Energy-Shaping of Port-Controlled Hamiltonian Systems by Inter-connection. Proc of the 38th Conference on Decision & Control (1999)
  • Aghannan N, Rouchon P (2003) An intrinsic observer for a class of lagrangian systems. IEEE Trans Automat Contr 48(6):936–945. https://doi.org/10.1109/tac.2003.812778 – 10.1109/tac.2003.812778
  • aangenent, An LMI-based £2 gain performance analysis for reset control systems. American Control Conference ACC (2008)
  • haddad, Impulsive and Hybrid Dynamical Systems - Stability, Dissipativity and Control. Princeton Series in Applied Mathematics (2006)
  • Haddad WM, Nersesov SG, Chellaboina V (2003) Energy-based control for hybrid port-controlled Hamiltonian systems. Automatica 39(8):1425–1435. https://doi.org/10.1016/s0005-1098(03)00113-4 – 10.1016/s0005-1098(03)00113-4
  • nersesov, Nonlinear Impulsive and Hybrid Dynamical Systems. (2005)
  • KRISHNAN KR, HOROWITZ IM (1974) Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances†. International Journal of Control 19(4):689–706. https://doi.org/10.1080/00207177408932666 – 10.1080/00207177408932666
  • Beker O, Hollot CV, Chait Y, Han H (2004) Fundamental properties of reset control systems. Automatica 40(6):905–915. https://doi.org/10.1016/j.automatica.2004.01.004 – 10.1016/j.automatica.2004.01.004
  • beker, Analysis of Reset Control Systems (2001)
  • Bupp RT, Bernstein DS, Chellaboina VS, Haddad WM (2000) Resetting Virtual Absorbers for Vibration Control. Journal of Vibration and Control 6(1):61–83. https://doi.org/10.1177/107754630000600104 – 10.1177/107754630000600104
  • Banos A, Barreiro A (2009) Delay-Independent Stability of Reset Systems. IEEE Trans Automat Contr 54(2):341–346. https://doi.org/10.1109/tac.2008.2007865 – 10.1109/tac.2008.2007865
  • Åström KJ (2000) Limitations on Control System Performance. European Journal of Control 6(1):2–20. https://doi.org/10.1016/s0947-3580(00)70906-x – 10.1016/s0947-3580(00)70906-x
  • baños, Reset-times dependent stability of reset control with unstable base systems. Proc IEEE Int Symp on Ind Electron (ISIE) (2007)
  • baños, Delay-dependent stability of reset control systems. Proceedings of the American control conference ACC (2007)