Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data

DOI10.1016/j.automatica.2011.02.048zbMath1226.93048OpenAlexW2061417005MaRDI QIDQ642922

Paolo Rapisarda, Harry L. Trentelman

Publication date: 27 October 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/2553146/2011AutomaticaRapisarda.pdf

zbMATH Keywords

identificationmodel reductiondissipative systemsGramianlossless systemsquadratic difference formsrank-revealing factorization

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) System identification (93B30) Discrete-time control/observation systems (93C55) System structure simplification (93B11)

Related Items (12)

A bilinear differential forms approach to parametric structured state-space modelling ⋮ A Loewner Matrix Approach to the Identification of Linear Time-Varying Systems ⋮ The most powerful unfalsified model for data with missing values ⋮ Reprint of ``A bilinear differential forms approach to parametric structured state-space modelling ⋮ Mixed \(L_p\) estimators variety for model order reduction in control oriented system identification ⋮ Generalizing Koopman Theory to Allow for Inputs and Control ⋮ Discrete Roesser state models from 2D frequency data ⋮ Parameter estimation for a multivariable state space system with \(d\)-step state-delay ⋮ Adaptive control and signal processing literature survey (No. 27) ⋮ Fast modes in the set of minimal dissipation trajectories ⋮ Dynamic Mode Decomposition with Control ⋮ State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A stochastic realization algorithm via block LQ decomposition in Hilbert space
• Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
• Dissipativity preserving model reduction by retention of trajectories of minimal dissipation
• The relation of the CCA subspace method to a balanced reduction of an autoregressive model.
• Choice of state-space basis in combined deterministic-stochastic subspace identification
• Canonical correlation analysis, approximate covariance extension, and identification of stationary time series
• A characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms
• A note on persistency of excitation
• Passivity preserving model reduction via interpolation of spectral zeros
• A new result on passivity preserving model reduction
• A transformation approach to stochastic model reduction
• A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
• On- and off-line identification of linear state-space models
• Paradigms and puzzles in the theory of dynamical systems
• On Quadratic Differential Forms
• A subspace algorithm for balanced state space system identification
• When Is a Storage Function a State Function in Discrete Time?
• A Survey of Model Reduction by Balanced Truncation and Some New Results
• Synthesis of dissipative systems using quadratic differential forms: part II
• Discrete-time average positivity and spectral factorization in a behavioral framework.

This page was built for publication: Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data