Power shaping control of nonlinear systems: A benchmark example

Lecture Notes in Control and Information Sciences

Volumn 366 LNCIS, Issue , 2007, Pages 135-146

  García Canseco, Eloísa ^a   Ortega, Romeo ^a   Scherpen, Jacquelien M A ^b   Jeltsema, Dimitri ^c  

^a UNIV PARIS SUD   (France)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Nonlinear control; Nonlinear systems; Passivity based control; Stability

Indexed keywords

CONTROL OF NONLINEAR SYSTEM; ELECTRICAL CIRCUIT; ENERGY FUNCTIONS; ENERGY-BALANCING; GLOBAL ASYMPTOTIC STABILITY; LINEAR STATICS; NON LINEAR CONTROL; PASSIVITY BASED CONTROL; PIECE-WISE; TUNNEL DIODE CIRCUITS;

CONVERGENCE OF NUMERICAL METHODS; LAGRANGE MULTIPLIERS; STABILIZATION; STATE FEEDBACK; TUNNEL DIODES;

NONLINEAR SYSTEMS;

EID: 84867476437     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Conference Paper

References (16)

1. M. Takegaki and S. Arimoto. A new feedback for dynamic control of manipulators. Trans. of the ASME: Journal of Dynamic Systems, Measurement and Control, 102:119-125, 1981.
2. R. Ortega and M. Spong. Adaptive motion control of rigid robots: a tutorial. Automatica, 25(6):877-888, 1989.
3. R. Ortega, A. Loria, P.J. Nicklasson, and H. Sira-Ramirez. Passivity-based control of Euler-Lagrange systems. Communications and Control Engineering. Springer-Verlag, Berlin, 1998.
4. 2-Gain and passivity techniques in nonlinear control. Springer-Verlag, 2000.
5. R. Ortega, A.J. van der Schaft, B.M. Maschke, and G. Escobar. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica, 38(4):585-596, 2002.
6. R. Ortega, A.J. van der Schaft, I. Mareels, and B. Maschke. Putting energy back in control. IEEE Control Systems Magazine, 21(2):18-33, 2001.
7. R. Ortega, D. Jeltsema, and J.M.A. Scherpen. Power shaping: a new paradigm for stabilization of nonlinear RLC circuits. IEEE. Trans. on Automatic Control, 48(10):1762-1767, October 2003.
8. R.K. Brayton and J.K. Moser. A theory of nonlinear networks-I. Quart. of App. Math, 22:1-33, April 1964.
9. D. Jeltsema. Modeling and control of nonlinear networks: a power-based perspective. PhD thesis, Delft University of Technology, The Netherlands, May 2005.
10. H. Khalil. Nonlinear Systems. Prentice-Hall, 2nd. edition, 1996.
11. L. Rodriguez and S. Boyd. Piece-wise affine state feedback for piece-wise affine slab systems using convex optimization. Systems & Control Letters, 54:835-853, 2005.
12. G. Blankenstein. Power balancing for a new class of nonlinear systems and stabilization of RLC circuits. International Journal of Control, 78(3):159-171, 2005.
13. R. Ortega, A. van der Schaft, F. Castaños, and A. Astolfi. Control by state-modulated interconnection of port-hamiltonian systems. In 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS'07), Pretoria, South Africa, August 22-24, 2007.
14. D. Jeltsema, R. Ortega, and J.M.A. Scherpen. An energy-balancing perspective of interconnection and damping assignment control of nonlinear systems. Automatica, 40(9):1643-1646, 2004.
15. J.K. Moser. Bistable systems of differential equations with applications to tunnel diode circuits. IBM Journal of Res. Develop., 5:226-240, 1960.
16. R. Ortega and E. Garcia-Canseco. Interconnection and damping assignment passivity-based control: a survey. European Journal of Control: Special Issue on Lagrangian and Hamiltonian Systems, 10:432-450, December 2004.