Power shaping: A new paradigm for stabilization of nonlinear RLC circuits

IEEE Transactions on Automatic Control

Volumn 48, Issue 10, 2003, Pages 1762-1767

  Ortega, R ^a   Jeltsema, D ^a   Scherpen, J M A ^b  

^a UNIV PARIS SUD   (France)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Nonlinear control; Passivity; Stability theory

Indexed keywords

CAPACITORS; ELECTRIC CURRENTS; ELECTRIC INDUCTORS; ELECTRIC POTENTIAL; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; RESISTORS;

ELECTROMAGNETIC COUPLING; ENERGY BALANCING CONTROL; ORTHOGONAL SPACES; PASSIVITY-BASED CONTROL; POWER SHAPING;

CONTROL SYSTEM ANALYSIS;

EID: 0242333996     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.817918     Document Type: Article

References (15)

1. G. Blankenstein, "A joined geometric structure for Hamiltonian and gradient control systems," in Proc. IFAC Workshop Lagrangian Hamiltonian Methods Nonlinear Systems, Seville, Spain, Apr. 3-5, 2003.
2. R. K. Brayton and J. K. Moser, "A theory of nonlinear networks-I," Quart. Appl. Math., vol. 22, pp. 1-33, April 1964.
3. C. A. Desoer and E. S. Kuh, Basic Circuit Theory. New York: McGraw-Hill, 1969.
4. D. Jeltsema and J. M. A. Scherpen, "On nonlinear RLC circuits: Port-controlled Hamiltonian systems dualize the Brayton-Moser equations," presented at the IFAC World Conf., Barcelona, Spain, 2002.
5. A. Kugie, Nonlinear Control Based on Physical Models. New York: Springer-Verlag, 2000, vol. 260.
6. B. M. Maschke, A. J. van der Schaft, and P. C. Breedveld, "An intrinsic Hamiltonian formulation of LC-circuits," IEEE Trans. Circuits Syst., vol. 42, pp. 45-54, Feb. 1995.
7. R. Ortega and B. E. Shi, "A note on passivity of nonlinear RL and RC circuits," presented at the IFAC World Conf., Barcelona, Spain, 2002.
8. R. Ortega, D. Jeltsema, and J. Scherpen, "Power-shaping of RLC circuits," presented at the IFAC Latinoamerican Control Conf., Guadalajara, Mexico, Dec. 3-6, 2002.
9. R. Ortega and M. Spong, "Adaptive motion control of rigid robots: a tutorial," Automatica, vol. 25, no. 6, pp. 877-888, 1989.
10. R. Ortega, A. Loria, P. J. Nicklasson, and H. Sira-Ramirez, "Passivity-based control of Euler-Lagrange systems," in Communications and Control Engineering. Berlin, Germany: Springer-Verlag, Sept. 1998.
11. R. Ortega, A. J. van der Schaft, I. Mareels, and B. M. Maschke, "Putting energy back in control," IEEE Control Syst. Mag., vol. 21, no. 2, pp. 18-33, Apr. 2001.
12. P. Penfield, R. Spence, and S. Duinker, Tellegen's Theorem and Electrical Networks. Cambridge, MA: MIT Press, 1970.
13. H. Rodriguez, "Interconnection and damping assignment control of hamiltonian systems," Ph.D. dissertion, LSS-Supelec, Gif-sur-Yvette, France, Mar. 2002.
14. 2-Gain and Passivity Techniques in Nonlinear Control. London, U.K.: Springer-Verlag, 2000.
15. D. Youla, L. Castriota, and H. Carlin, "Bounded real scattering matrices and the foundations of linear passive networks," IRE Trans. Circuit Theory, vol. 4, no. 1, pp. 102-124, 1959.