Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians
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DOI: 10.1016/j.amc.2022.126959
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- Daraghmeh, Adnan & Hartmann, Carsten & Qatanani, Naji, 2019. "Balanced model reduction of linear systems with nonzero initial conditions: Singular perturbation approximation," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 295-307.
- Goyal, Pawan & Redmann, Martin, 2019. "Time-limited H2-optimal model order reduction," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 184-197.
- Breedveld, Peter C, 2004. "Port-based modeling of mechatronic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(2), pages 99-128.
- Christian Himpe & Mario Ohlberger, 2014. "Cross-Gramian-Based Combined State and Parameter Reduction for Large-Scale Control Systems," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, July.
- Ibrir, S. & Bettayeb, M., 2015. "Model reduction of a class of discrete-time nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 78-93.
- Daraghmeh, Adnan & Qatanani, Naji & Hartmann, Carsten, 2018. "Optimal control of linear systems with balanced reduced-order models: Perturbation approximations," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 119-136.
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Keywords
Model order reduction; Port-Hamiltonian systems; Structure-preserving; Inhomogeneous initial conditions; Finite-time Gramians; Shifted Legendre polynomials;All these keywords.
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