2018 |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Bilinear matrix inequality, Degrees of freedom (mechanics), Design, Design Methodology, Digital control systems, Discrete – time systems, Discrete time control systems, Discrete-time nonlinear systems, Linear matrix inequalities, Lipschitz property, LMI (linear matrix inequality), Luenberger observers, Restrictive constraints @conference{Gasmi2018111b,This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young’s relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE. |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Bilinear matrix inequality, Degrees of freedom (mechanics), Design, Design Methodology, Digital control systems, Discrete – time systems, Discrete time control systems, Discrete-time nonlinear systems, Linear matrix inequalities, Lipschitz property, LMI (linear matrix inequality), Luenberger observers, Restrictive constraints @conference{Gasmi2018111,This paper focuses on the H ∞ observer design for Lipschitz discrete-time nonlinear systems. The main idea consists in using previous measurements in a Luenberger observer through a sliding window to obtain less restrictive constraint. Reformulations of both Lipschitz property and Young’s relation are used to offer greater degree of freedom to the obtained constraint. The presented result is in the form of BMI (Bilinear Matrix Inequality) which is transformed into LMI (Linear Matrix Inequality) through an interesting approach. The resulting constraint can be easily achieved with standard software algorithms. Then, to prove the superiority of the proposed design methodology, a comparison with the classical case is presented. Numerical examples are given to illustrate the effectiveness and the high performances of the proposed filter. © 2018 IEEE. |
Publications
2018 |
H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). |
H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). |