Multi-innovation least squares identification methods based on the auxiliary model for MISO systems

DOI10.1016/j.amc.2006.08.090zbMath1114.93101OpenAlexW2081869873MaRDI QIDQ883863

Huibo Chen, Feng Ding, Ming Li

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.090

zbMATH Keywords

recursive identificationestimationmultivariable systemsleast squaresconvergence propertiesauxiliary modelhierarchical identificationmulti-innovation identification

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Least squares and related methods for stochastic control systems (93E24) Identification in stochastic control theory (93E12)

Related Items (32)

Least squares based iterative identification for multivariable integrating and unstable processes in closed loop ⋮ Piecewise bivariate Hermite interpolations for large sets of scattered data ⋮ Bias compensation based partially coupled recursive least squares identification algorithm with forgetting factors for MIMO systems: application to PMSMs ⋮ Convergence properties of the least squares estimation algorithm for multivariable systems ⋮ Two-stage least squares based iterative estimation algorithm for CARARMA system modeling ⋮ Auxiliary model-based least-squares identification methods for Hammerstein output-error systems ⋮ Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\) ⋮ Hierarchical least squares algorithms for single-input multiple-output systems based on the auxiliary model ⋮ Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data ⋮ Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems ⋮ Performance analysis of the AM-SG parameter estimation for multivariable systems ⋮ Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations ⋮ Unbiased identification of a class of multi-input single-output systems with correlated disturbances using bias compensation methods ⋮ Exponential stability of a class of networked control systems with time delays and packet dropouts ⋮ Observable state space realizations for multivariable systems ⋮ Multi-innovation extended stochastic gradient algorithm and its performance analysis ⋮ Two identification methods for dual-rate sampled-data nonlinear output-error systems ⋮ Recursive least-squares estimation for Hammerstein nonlinear systems with nonuniform sampling ⋮ Some properties of the full matrices ⋮ Parameter estimation error bounds for Hammerstein nonlinear finite impulsive response models ⋮ Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle ⋮ Parameter identification of multi-input, single-output systems based on FIR models and least squares principle ⋮ Least-squares parameter estimation algorithm for a class of input nonlinear systems ⋮ Identification for the second-order systems based on the step response ⋮ Parameter identification of systems with preload nonlinearities based on the finite impulse response model and negative gradient search ⋮ Self-tuning control based on multi-innovation stochastic gradient parameter estimation ⋮ Least squares based iterative identification algorithms for input nonlinear controlled autoregressive systems based on the auxiliary model ⋮ The residual based interactive stochastic gradient algorithms for controlled moving average models ⋮ Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises ⋮ Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model ⋮ Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique ⋮ Performance Analysis of The Auxiliary‐Model‐Based Multi‐Innovation Stochastic Newton Recursive Algorithm for Dual‐Rate Systems

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