Port-hamiltonian formulation of an electrical circuit using different kinds of states
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Từ khóa:
Electrical circuit
quadratic port-Hamiltonian representation
dissipation
states
Tóm tắt
This work focuses on a dynamic electrical circuit whose dynamics are affine in the control input. Such dynamics are considered to be re-expressed in a canonical form, namely the port-Hamiltonian (pH) representation with dissipation, where the Hamiltonian is a quadratic function and has the unit of energy or power. On this basis, it allows revealing the transformation of energy (or power) inside the system, including the energy supply, storage and dissipation, thereby facilitating Lyapunov-based or energy-related control approaches for stabilization and optimization purposes. Two pH representations are proposed and compared; the first one is established with difficult-to-measure states while the second one is obtained with easier-to-measure states.
Tài liệu tham khảo
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Ha, H. N., và H. P. Tien. “Port-Hamiltonian Formulation of an Electrical Circuit Using Different Kinds of States”. Tạp Chí Khoa học Và Công nghệ - Đại học Đà Nẵng, vol 22, số p.h 6A, Tháng Sáu 2024, tr 63-66, doi:10.31130/ud-jst.2024.629E.
