Generalized Hamiltonian realization of time-invariant nonlinear systems

Automatica

Volumn 39, Issue 8, 2003, Pages 1437-1443

  Wang, Yuzhen ^a,c   Li, Chunwen ^a   Cheng, Daizhan ^b  

^a TSINGHUA UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

^c SHANDONG UNIVERSITY   (China)

Author keywords

Feedback dissipative realization; Generalized Hamiltonian realization; Jacobian matrix; Orthogonal decomposition method

Indexed keywords

FEEDBACK; HAMILTONIANS; INVARIANCE; MATRIX ALGEBRA;

JACOBIAN MATRIX;

NONLINEAR CONTROL SYSTEMS;

EID: 0043267593     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00132-8     Document Type: Article

References (15)

1. Cheng, D., Spurgeon, S., & Xiang, J. (2000). On the development of generalized Hamiltonian realizations. Proceedings of the 39th IEEE conference on decision and control, Vol. 5, Sydney, Australia (pp. 5125-5130).
2. Cheng, D., Xi, Z., Hong, Y., & Qin, H. (1999). Energy-based stabilization of forced Hamiltonian systems with its application to power systems. Proceedings of the 14th IFAC world congress, Vol. O, Beijing, People's Republic of China (pp. 297-303).
3. Escobar G., van der Schaft A.J., Ortega R. A Hamiltonian viewpoint in the modelling of switching power converters. Automatica. 35(3):1999;445-452.
4. Fujimoto K., Sugie T. Canonical transformations and stabilization of generalized Hamiltonian systems. Systems and Control Letters. 42(3):2001;217-227.
5. Sira-Ramírez H. A general canonical form of feedback passivity of nonlinear systems. International Journal of Control. 71(5):1998;891-905.
6. Langson, W., & Alleyne, A. (1997). Infinite horizon optimal control of a class of nonlinear systems. Proceedings of IEEE American control conference, Vol. 5, Albuquerque, New Mexico (pp. 3017-3022).
7. Maschke B.M., Ortega R., van der Schaft A.J. Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation. IEEE Transactions on Automatic Control. 45(8):2000;1498-1502.
8. Maschke, B. M., & van der Schaft, A. J. (1992). Port-controlled Hamiltonian systems: Modelling origins and system theoretic properties. Proceedings of the IFAC symposium on NOLCOS, Bordeaux, France (pp. 282-288).
9. Ortega R., Loría A., Nicklasson P.J., Sira-Ramírez H. Passivity-based control of Euler-Lagrangian systems. Communications and control engineering. 1998;Springer, Berlin.
10. Ortega R., van der Schaft A.J., Maschke B., Escobar G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica. 38(4):2002;585-596.
11. 2 -disturbance attenuation of Hamiltonian systems with parameter perturbations and application to power systems. Proceedings of the 39th IEEE conference on decision and control, Vol. 5, Sydney, Australia (pp. 4939-4944).
12. 2 -gain and passivity techniques in nonlinear control:1999;Springer, Berlin.
13. van der Schaft A.J., Maschke B.M. The Hamiltonian formulation of energy conserving physical systems with external ports. Archive für Elektronik und Übertragungstechnik. 49:1995;362-371.
14. Wang Y., Cheng D., Hong Y. Stabilization of synchronous generators with Hamiltonian function approach. International Journal of Systems Science. 32(8):2001;971-978.
15. Xi Z., Cheng D., Lu Q., Mei S. Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method. Automatica. 38(3):2002;527-534.