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Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization |
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| Authors: | Yuzhen Wang [Author Vitae] Daizhan Cheng [Author Vitae] |
| Affiliation: | a School of Control Science and Engineering, Shandong University, Jinan 250061, PR China b Institute of Systems Sciences, Chinese Academy of Sciences, Beijing 100080, PR China c Optimization and Systems Theory, Royal Institute of Technology, Stockholm, Sweden |
| Abstract: | To apply time-varying port-controlled Hamiltonian (PCH) systems to practical control designs, two basic problems should be dealt with: one is how to provide such time-varying systems a geometric structure to guarantee the completeness of representations in mathematics; and the other is how to express the practical system under consideration as a time-varying PCH system, which is called the dissipative Hamiltonian realization problem. The paper investigates the two basic problems. A suitable geometric structure for time-varying PCH systems is proposed first. Then the dissipative realization problem of time-varying nonlinear systems is investigated, and serval new methods and sufficient conditions are presented for the realization. |
| Keywords: | Time-varying PCH system Geometric structure Dissipative Hamiltonian realization |
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