2019 |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results Article de journal Dans: IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 66, no. 2, p. 302 – 306, 2019, (Cited by: 10). Résumé | Liens | BibTeX | Étiquettes: ARDUINO MEGA 2560, Delayed measurements, Digital control systems, Discrete – time systems, Discrete time control systems, Linear matrix inequalities, Numerical comparison, One-sided Lipschitz condition, Quadratic inner-boundedness, Real time control, Real-time implementations, Sliding window-based @article{Gasmi2019302b,This brief discusses a new linear matrix inequality (LMI)-based $boldsymbol mathcal Hboldsymbol ınfty $ filter for a class of one-sided Lipschitz discrete-time systems. Due to the introduction of a sliding window of delayed measurements, new LMI conditions are proposed. Indeed, the previous measurements allow increasing the number of decision variables in the LMIs, which render it more general and less conservative than those established by using the standard Luenberger structure of the filter. Analytical and numerical comparisons are provided to demonstrate the superiority of the proposed filter with respect to the standard one. Finally, simulation results and real-time implementation have been presented to illustrate the performances of the new filter. © 2004-2012 IEEE. |
2016 |
Gasmi, N.; Thabet, A.; Boutayeb, M.; Aoun, M. Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). Résumé | Liens | BibTeX | Étiquettes: Asymptotic stability, Automation, Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Linear parameter varying systems, Mathematical transformations, Nonlinear discrete-time systems, Nonlinear functions, Observer design, Observer-based, One-sided Lipschitz condition, Process control, Restrictive conditions @conference{Gasmi2016799b,This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE. |
Publications
2019 |
Sliding Window Based Nonlinear H∞ Filtering: Design and Experimental Results Article de journal Dans: IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 66, no. 2, p. 302 – 306, 2019, (Cited by: 10). |
2016 |
Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). |