A joined geometric structure for hamiltonian and gradient control systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 36, Issue 2, 2003, Pages 51-56

  Blankenstein, Guido ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Dirac structures; Gradient systems; Hamiltonian systems; Passivity based control

Indexed keywords

CIRCUIT RESONANCE; CONTROL SYSTEMS; POWER CONTROL; RESONANT CIRCUITS;

DIRAC STRUCTURES; GEOMETRIC STRUCTURE; GRADIENT SYSTEMS; HAMILTONIAN CONTROLS; HAMILTONIAN SYSTEMS; KINEMATIC CONSTRAINTS; MECHANICAL SYSTEMS; PASSIVITY BASED CONTROL;

HAMILTONIANS;

EID: 80052679468     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)38866-3     Document Type: Conference Paper

References (12)

1. Abraliam R.. .I.E. Marsden and T. Ratiu (1988). Manifolds. Tensor Analysis, and Applications. second ed.. Springer-Verlag.
2. Blankenstein, G. (2002). The port-Hamiltoniau fonfl of the Brayton-Moser model and its applications to control of electrical networks. In preparation.
3. Blonh, A.M. and P.E. Crouch (1999). Representations of Dirac Structures on Vector Spaces and Nonlinear LC Circuits. In: Proc. of Symposia in Pure Mathematicst Differential Geometry und Control Theory (H. Hermes, G. Ferraya. R. Gardner and H. Sussmann. Eds.). Vol. 64. pp. 103-117.
4. Brayton R. and, I. Moser (1964). A theory of nonlinear networks - I. Quart, of App. Math. 22, 1-33.
5. Jeitsema D.. R. Ortega and J.M.A. Scher-pen (2002). An energy-balancing perspective of interconnection and damping assignment control of nonlinear systems. In: These proceedings.
6. Maschke B.M., A.J. van der Schaft and PC. Breedvoid (1995). An intrinsic Hamiltonian formulation of the dynamics of LC-circnits. IEEE Trans. Circuits and Systems 42. 73- 82.
7. Morrison, P.J. (1986). A paradigm for joined Hamiltonian and dissipative systems. Physica ISD pp. 410-419.
8. Ortega R., A. van der Schaft, B. Maschke and G. Escobar (2001a). Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems, AU- tomatica 38(4) 585-596.
9. Ortega R.., A van der Schaft, I Mareels and B. Maschke (20016). Putting energy back in control. IEEE Control Systems Magazine 21{2). 18-33.
10. Ortega R., D. Jeitsema and J. Scherpen (2002). Power shaping: A new paradigm for stabiliza-tion of nonlinear RLC circuits. Submitted, .
11. van der Schaft A.J. (2000). L2-Gain and Passivity Techniques in Xonlmear Control, second revised and enlarged ed.. Springer-Verlag.
12. van der Schaft A.J. and B.M Maschke (1997). Interconnected mechanical systems, part I: ge-ometry of interconnection and implicit Hamiltonian systems. In: Modelling and Control of Mechanical Systems (A. Astolfi. D.J.N Lime- beer. C. Melchiorri, A. Tomambe and R.B. Yinter. Eds.). Imperial College Press, pp. 1-15.