On Recursive Calculation of M- and GM-Estimates by Direct Identification in LQG Control Systems

Closed-Loop System Identification with Recursive Modifications of the Instrumental Variable Method

“…The least-squares (LS) estimates θcl LS are obtained by the formula (Atanasov and Ichtev, 2009;Atanasov and Pupeikis, 2009;Daniusis and Vaitkus, 2008)…”

On a parameter adaptive self-organizing system in the presence of large outliers in observations

“…To implement the self-tuning MVC controller, it is necessary, firstly, to estimate LTI system's model unknown parameters (2) in such a noisy environment using robust M-techniques [1,2,4] and, secondly, to determine the value of control signal u(k) in each current operation by substituting in (3) the values of abovementioned estimateŝ b T = (b 0 ,b 1 , . .…”

“…. , 400 observations of the control signal {u(k)} and the output {y(k)} in each current iteration, using two S-algorithms with a version of Shweppe's GM-estimator [1]. Thus, the output signals {y(k)} of the same system (5) to be processed by both algorithms were different and generated in two ways (see Figs.…”

Improvement of d–d interactions in density functional tight binding for transition metal ions with a ligand field model: assessment of a DFTB3+U model on nickel coordination compounds

“…In this work, we address the problem of strong d-electron correlation by augmenting the DFTB3 approach with a ligand field (LF) 9,[55][56][57][58] motivated model to specifically treat the d-d interactions with resolved magnetic quantum numbers (m l ). The idea of using LF theory is not new; LF model has been incorporated into force fields for transition metal ions, 59 and it has been integrated with Density Functional Theory 60,61 and ab initio wavefunction methods for the interpretation of electronic structure and spectroscopies of metal compounds. 62 The philosophy of treating the d and f electrons in transition metal ions separately is also the basis for the DFT+U method in the materials science community.…”