Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems
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Publication:3098205
DOI10.1080/00207179.2011.601761zbMath1230.93010OpenAlexW2100011769MaRDI QIDQ3098205
Tobias Breiten, Peter Benner, Tobias Damm
Publication date: 17 November 2011
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207179.2011.601761
Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) System structure simplification (93B11)
Related Items (18)
Model order reduction of MIMO bilinear systems by multi-order Arnoldi method ⋮ Computational Methods for Linear Matrix Equations ⋮ \(H_2\) order-reduction for bilinear systems based on Grassmann manifold ⋮ Two-sided projection methods for model reduction of MIMO bilinear systems ⋮ Model reduction of bilinear systems based on Laguerre series expansion ⋮ Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Iterative and doubling algorithms for Riccati‐type matrix equations: A comparative introduction ⋮ A unifying framework for tangential interpolation of structured bilinear control systems ⋮ Damping optimization of parameter dependent mechanical systems by rational interpolation ⋮ Interpolatory model reduction of parameterized bilinear dynamical systems ⋮ On model reduction of K-power bilinear systems ⋮ Model reduction of discrete-time bilinear systems by a Laguerre expansion technique ⋮ Structure-preserving interpolation of bilinear control systems ⋮ A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems ⋮ Model Reduction of Bilinear Systems in the Loewner Framework ⋮ On Bilinear Time-Domain Identification and Reduction in the Loewner Framework ⋮ Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition ⋮ Control configuration selection for bilinear systems via generalised Hankel interaction index array
Cites Work
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- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Approximation of polynomial state-affine discrete-time systems
- On the discretization of single-input single-output bilinear systems
- Model reduction of bilinear systems described by input–output difference equation
- On gramians and balanced truncation of discrete-time bilinear systems
- Natural Bilinear Control Processes
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