Stabilization of time-varying pseudo-Hamiltonian systems

IEEE Conference on Control Applications - Proceedings

Volumn 2, Issue , 2002, Pages 954-959

  Cheng, Daizhan ^a  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; LYAPUNOV METHODS; MATRIX ALGEBRA; SYSTEM STABILITY;

HAMILTONIAN SYSTEMS; STORAGE FUNCTIONS;

TIME VARYING CONTROL SYSTEMS;

EID: 0036035150     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. D. Cheng Z. Xi, Y. Hong, and H. Qin, Energy-Based stabilization of forced Hamiltonian systems with its application to power systems, Proc. IFAC'99, Beijing, Vol. o, pp 297-302,1999.
2. D. Cheng, Semi-tensor product of matrices and its application to Morgen's problem, Science in China, Series F, Vol.44, No.3, 195-212, 2001.
3. D. Cheng, and S. Spurgeon, Stabilization of Hamiltonian systems with dissipation, Int. J. Control, Vol.74, No.15, 465-473, 2001.
4. D. Cheng, Generalized Hamiltonian Systems, in Advanced Topics in Nonlinear Control Systems, Eds, T.P. Leung and H.S. Qin, World Scientific, London, 1-51, 2001.
5. D. Cheng, T. Shen, T.J. Tarn, Pseudo-Hamiltonian realization and its applications, submitted to pub.
6. P.E. Crouch, A.J. van der Schaft, Variational and Hamiltonian Control Systems, Lecture Notes in Control and Information Sciences, Springer-Verlag, New York, 1987.
7. G. Escobar, A.J. van der Schaft, and R. Ortega, A Hamiltonian viewpoint in the modeling of switching power converters, Automatica, Vol.35, No.3, 445-452, 1999.
8. J.E. Marsden, T.S. Ratiu, Introduction to Mechanics and Symmetry, Springer-Verlag, Mew York, 1994.
9. B.M.J. Maschke, R. Ortega, A.J. van der Schaft, Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation, Proc. of CED98, 3599-3604, 1998.
10. B.M.J. Maschke, R. Ortega, A.J. van der Schaft, and G. Escobar, An energy-Based derivation of Lyapunov functions for forced systems with application to stabilizing control, Proc. IFAC'99, Beijing, Vol. E, 409-414, 1999.
11. X. Mu, D. Cheng, On stabilization of time-varying nonlinear control systems, submitted for pub.
12. R. Ortega, A. Stankovic and P. Stefanov, A passivation approach to power systems stabilization, IFAC Symp, Nonlinear Control Systems Design, Enschede, NL, July, 1-3, 1998.
13. R. Ortega, M. Spong, Adaptive motion control of rigid robots: A tutorial, Automatica, Vol.25, No.6, 877-888, 1999.
14. 2-gain and Passivity techniques in nonlinear control, Springer Communications and Control Engineering series, 2nd ed., 1999.
15. Y. Wang, D. Cheng, and Y. Hong, Stabilization of synchronous generators with the Hamiltonian function approach, Int. J. Systems Science, Vol.32, No.8, 971-978, 2001.
16. ∞ control of the Hamiltonian control systems with dissipation and its applications to power systems, Int. J. Control, Vol. 73, No.18, 1686-1691, 2000.