Self-Tuning Control Scheme Based on the Robustness σ -Modification Approach

Autor: Najib Essounbouli, Abdelaziz Hamzaoui, Nabiha Touijer, Samira Kamoun
Přispěvatelé: Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA)
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Canadian Journal of Electrical and Computer Engineering
Canadian Journal of Electrical and Computer Engineering, Institute of Electrical and Electronics Engineers, 2017, 2017, pp.1-13. ⟨10.1155/2017/8653136⟩
Journal of Electrical and Computer Engineering, Vol 2017 (2017)
ISSN: 0840-8688
DOI: 10.1155/2017/8653136⟩
Popis: 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.
Databáze: OpenAIRE