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∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems Conférence 2018, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Bilinear matrix, Controllers, Design Methodology, Design problems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Lipschitz property, Nonlinear discrete-time systems, Observer-based, Observer-based controllers, Robustness (control systems), Slack variables @conference{Gasmi2018771b,Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young’s relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE. |
Publications
2018 |
H ∞ Sliding Window Observer Design for Lipschitz Discrete-Time Systems Conférence 2018, (Cited by: 0). |
H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems Conférence 2018, (Cited by: 0). |