Self-Tuning Control Based on Generalized Minimum Variance Criterion.

Patete, Anna; Furuta, K.; Tomizuka, Masayoshi

doi:10.3182/20070829-3-ru-4911.00063

Cited by 2 publications

(2 citation statements)

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“…Journal of Electrical and Computer Engineering Using (14) and (15) and adding and subtracting ( +1) ( + 1)̂( ) to the right member of (16), we obtain…”

Section: Modified Recursive Least Square Algorithm M-rls With -Modifimentioning

confidence: 99%

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Self-Tuning Control Scheme Based on the Robustnessσ-Modification Approach

Touijer

Kamoun

Essounbouli

et al. 2017

Journal of Electrical and Computer Engineering

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This paper deals with the self-tuning control problem of linear systems described by autoregressive exogenous (ARX) mathematical models in the presence of unmodelled dynamics. An explicit scheme of control is described, which we use a recursive algorithm on the basis of the robustnessσ-modification approach to estimate the parameters of the system, to solve the problem of regulation tracking of the system. This approach was designed with the assumptions that the norm of the vector of the parameters is well-known. A new quadratic criterion is proposed to develop a modified recursive least squares (M-RLS) algorithm withσ-modification. The stability condition of the proposed estimation scheme is proved using the concepts of the small gain theorem. The effectiveness and reliability of the proposed M-RLS algorithm are shown by an illustrative simulation example. The effectiveness of the described explicit self-tuning control scheme is demonstrated by simulation results of the cruise control system for a vehicle.

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“…Journal of Electrical and Computer Engineering Using (14) and (15) and adding and subtracting ( +1) ( + 1)̂( ) to the right member of (16), we obtain…”

Section: Modified Recursive Least Square Algorithm M-rls With -Modifimentioning

confidence: 99%

“…Stability theory was introduced. In this context, several studies have been developed [5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%