Robust stabilization using LMI techniques of neutral time-delay systems subject to input saturation

13th European Workshop on Advanced Control and Diagnosis

Fezazi, Nabil El^1 ; Haoussi, Fatima El^1,2 ; Tissir, El Houssaine^1 ; Alvarez, Teresa^3 ; Tadeo, Fernando^3

University of Sidi Mohammed Ben Abdellah, Department of Physics, Faculty of Sciences Dhar El Mehraz, LESSI, BP 1796, Fes-Atlas, Morocco^1

Polydisciplinary Faculty, BP 300, Selouane, Nador

62700, Morocco^2

University of Valladolid, Industrial Engineering School, Valladolid

47005, Spain^3

关键词: Free-weighting matrices;    Initial conditions;    Input saturation;    Neutral systems;    Neutral time delay systems;    Optimization problems;    Robust stabilization;    State feedback gain;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/783/1/012031/pdf
DOI  :  10.1088/1742-6596/783/1/012031

来源: IOP

【 摘 要 】

The robust stabilization of uncertain saturated neutral systems with state delay is solved in this paper: based on a free weighting matrix approach, sufficient conditions are obtained via an LMI formulation. From these conditions, state feedback gains that ensure stability for the largest set of admissible initial conditions can be calculated solving optimization problems with LMI constraints. Some applications of this methodology to feedback control are then presented and compared with previous results in the literature.