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| DOI：https://doi.org/10.1007/s11768-021-00042-2 |
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| 基金项目:This work was supported by the National Nature Science Fund of China (No. 61603311). |
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| Asymptotic stability of port‑Hamiltonian systems with constant inputs |
| Liangcheng Cai |
| (School of Electric Engineer, Southwest Jiaotong University, Chengdu, Sichuan 610031, China) |
| Abstract: |
| In this paper, the asymptotic stability of Port-Hamiltonian (PH) systems with constant inputs is studied. Constant inputs
are useful for stabilizing systems at their nonzero equilibria and can be realized by step signals. To achieve this goal, two
methods based on integral action and comparison principle are presented in this paper. These methods change the convex
Hamiltonian function and the restricted damping matrix of the previous results into a Hamiltonian function with a local
minimum and a positive semidefinite matrix, respectively. Due to common conditions of Hamiltonian function and damping
matrix, the proposed method asymptotically stabilizes more classes of PH systems with constant inputs than the existing
methods. Finally, the validity and advantages of the presented methods are shown in an example. |
| Key words: Port-Hamiltonian systems · Constant inputs · Integral action · Compare principle · Asymptotic stability |
