2019 |
Gasmi, Noussaiba; Thabet, Assem; Aoun, Mohamed New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results Article de journal Dans: International Journal of Automation and Computing, vol. 16, no. 5, p. 644 – 654, 2019, (Cited by: 0). Résumé | Liens | BibTeX | Étiquettes: Arduino, Asymptotic stability, Degrees of freedom (mechanics), Digital control systems, Discrete – time systems, Discrete time control systems, Linear matrix inequalities, Lipschitz systems, Performance analysis, Real time control, Reduced order observers @article{Gasmi2019644b,The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time systems. The conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities (LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H∞ performance analysis is considered in order to deal with H∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device. © 2018, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature. |
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. |
Frej, G. Bel Haj; Thabet, A.; Boutayeb, M.; Aoun, M. Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control @conference{BelHajFrej2016905b,The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE. |
Frej, G. Bel Haj; Thabet, A.; Boutayeb, M.; Aoun, M. Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Asymptotic stability, Automation, Control matrices, Decentralized state observers, Differential mean value theorems, Linear matrix inequalities, Matrix algebra, Non linear, Nonlinear interconnected systems, Process control @conference{BelHajFrej2016905c,The objective of this paper is the synthesis of decentralized state observers for large class of nonlinear interconnected systems. The procedure uses the Differential Mean Value Theorem (DMVT) to simplify the design of estimation and control matrices gains. A general condition on the non linear time-varying interconnections functions is introduced. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). High performances are shown through numerical simulation. © 2015 IEEE. |
2007 |
Aoun, M.; Malti, R.; Levron, F.; Oustaloup, A. Synthesis of fractional Laguerre basis for system approximation Article de journal Dans: Automatica, vol. 43, no. 9, p. 1640 – 1648, 2007, (Cited by: 115; All Open Access, Green Open Access). Résumé | Liens | BibTeX | Étiquettes: Approximation theory, Asymptotic stability, Fractional differentiation, Identification (control systems), Integer programming, Laguerre function, Mathematical models, Orthonormal basis @article{Aoun20071640b,Fractional differentiation systems are characterized by the presence of non-exponential aperiodic multimodes. Although rational orthogonal bases can be used to model any L2 [0, ∞ [ system, they fail to quickly capture the aperiodic multimode behavior with a limited number of terms. Hence, fractional orthogonal bases are expected to better approximate fractional models with fewer parameters. Intuitive reasoning could lead to simply extending the differentiation order of existing bases from integer to any positive real number. However, classical Laguerre, and by extension Kautz and generalized orthogonal basis functions, are divergent as soon as their differentiation order is non-integer. In this paper, the first fractional orthogonal basis is synthesized, extrapolating the definition of Laguerre functions to any fractional order derivative. Completeness of the new basis is demonstrated. Hence, a new class of fixed denominator models is provided for fractional system approximation and identification. © 2007 Elsevier Ltd. All rights reserved. |
Publications
2019 |
New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results Article de journal Dans: International Journal of Automation and Computing, vol. 16, no. 5, p. 644 – 654, 2019, (Cited by: 0). |
2016 |
Ob_server design fo a class of nonlinear discrete time systems Conférence 2016, (Cited by: 8). |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |
Decentralized observers of a large class of nonlinear interconnected systems Conférence 2016, (Cited by: 1). |
2007 |
Synthesis of fractional Laguerre basis for system approximation Article de journal Dans: Automatica, vol. 43, no. 9, p. 1640 – 1648, 2007, (Cited by: 115; All Open Access, Green Open Access). |