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Pseudo-hamiltonian Realization and Its Application
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cheng, Daizhan Shen, Tielong Tarn, Tzyh-Jong |
| Copyright Year | 2002 |
| Abstract | In this paper, the problem of pseudo-Hamiltonian realization of a control system is studied. Several sucient conditions are obtained. The stability of a dynamic system is investigated via dissipative pseudo-Hamiltonian realization, and the stabilization of a control system is also inves- tigated via feedback dissipative pseudo-Hamiltonian realization. Some relations between the stability (asymptotical stability) with the dissipative (strict dissipative) realization are revealed. Relations between the ane dissipative control systems and the dissipative pseudo-Hamiltonian realization are also investigated. These results show that the set of pseudo-Hamiltonian systems represent a very large class of interesting dynamic systems, and this approach is a powerful tool. Particularly, a gen- eralization of the Krasovskii's Theorem is obtained. Then the problem of L2 disturbance attenuation of a nonlinear system via pseudo-Hamiltonian realization is investigated. It is shown that for a class of pseudo-Hamiltonian systems the disturbance attenuation problem is solvable and an estimation of the boundary of the L2 gain is obtained. Finally the results are applied to the excitation control of power systems. The stabilization and the H1 control problems are investigated for the single- machine infinite bus power systems. |
| Starting Page | 91 |
| Ending Page | 120 |
| Page Count | 30 |
| File Format | PDF HTM / HTML |
| DOI | 10.4310/CIS.2002.v2.n2.a1 |
| Volume Number | 2 |
| Alternate Webpage(s) | http://www.ims.cuhk.edu.hk/~cis/2002.2/dzcheng.pdf |
| Alternate Webpage(s) | https://doi.org/10.4310/CIS.2002.v2.n2.a1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
