Least-squares LTI approximation of nonlinear systems and quasistationarity analysis

DOI10.1016/j.automatica.2004.02.008zbMath1051.93101OpenAlexW1983888154WikidataQ56319362 ScholiaQ56319362MaRDI QIDQ1883121

Jonathan R. Partington, Pertti M. Mäkilä

Publication date: 1 October 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.02.008

zbMATH Keywords

Least-squaresNonlinear systemsHammerstein systemsDiscrete-time systemsApproximationLinear modelsWiener systemsQuasistationarity

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55)

Related Items (10)

Absolute stability and integral control for infinite-dimensional discrete-time systems ⋮ On robustness in control and LTI identification: near-linearity and non-conic uncertainty ⋮ LTI approximation of nonlinear systems via signal distribution theory ⋮ Separability of scalar random multisine signals ⋮ Measuring a linear approximation to weakly nonlinear MIMO systems ⋮ Interpolation by vector-valued analytic functions, with applications to controllability ⋮ Study of the LTI relations between the outputs of two coupled Wiener systems and its application to the generation of initial estimates for Wiener-Hammerstein systems ⋮ Stabilization of some fractional delay systems of neutral type ⋮ A note on causality in Banach spaces ⋮ Linear approximations of nonlinear FIR systems for separable input processes

Uses Software

• QDES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear systems. Analysis, stability, and control
• Squared and absolute errors in optimal approximation of nonlinear systems.
• On linear models for nonlinear systems
• Estimating linear time-invariant models of nonlinear time-varying systems
• Bounded Power Signal Spaces for Robust Control and Modeling
• Frequency domain system identification with missing data
• Frequency response function measurements in the presence of nonlinear distortions

This page was built for publication: Least-squares LTI approximation of nonlinear systems and quasistationarity analysis