Academic literature on the topic 'Gain L2/L∞'

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Journal articles on the topic "Gain L2/L∞"

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Wang, Ge Si, Zhi Gang Yu, and Shen Min Song. "Adaptive Neural Network L2-Gain Control for Unmodeled Dynamics Nonlinear System." Key Engineering Materials 419-420 (October 2009): 561–64. http://dx.doi.org/10.4028/www.scientific.net/kem.419-420.561.

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A new control scheme is proposed for the nonlinear system with unmodeled dynamics based on HJI and adaptive neural network L2-gain controller. The aim is to make the closed-loop system a finite gain L2 stable between the disturbance and output of the system. The approach will avoid the limit of precise modelling, only need the unmodeled dynamics to be bounded without the other transcendent information. The simulation results show that the control system designed can satisfy the performance indicators proposed.
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IMURA, Junichi, Toshiharu SUGIE, and Tsuneo YOSHIKAWA. "Internal Stability and L2 Gain of Nonlinear Systems." Transactions of the Society of Instrument and Control Engineers 29, no. 6 (1993): 659–67. http://dx.doi.org/10.9746/sicetr1965.29.659.

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Ellero, Nicolas, David Gucik-Derigny, and David Henry. "An unknown input interval observer for LPV systems under L2-gain and L∞-gain criteria." Automatica 103 (May 2019): 294–301. http://dx.doi.org/10.1016/j.automatica.2019.02.012.

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Liu, Dan, Ni Hong Wang, and Gui Ying Li. "Neural Networks L2-Gain Controller Design for Nonlinear System." Key Engineering Materials 467-469 (February 2011): 1505–10. http://dx.doi.org/10.4028/www.scientific.net/kem.467-469.1505.

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This paper proposes a new method that it uses the neural network to construct the solution of the Hamiltion-Jacobi inequality (HJ), and it carries on the optimization of the neural network weight using the genetic algorithm. This method causes the Lyapunov function to satisfy the HJ, avoides solving the HJ parital differential inequality, and overcomes the difficulty which the HJ parital differential inequality analysis. Beside this, it proposes a design method of a nonlinear state feedback L2-gain disturbance rejection controller based on HJ, and introduces general structure of L2-gain disturbance rejection controller in the form of neural network. The simulation demonstrates the design of controller is feasible and the closed-loop system ensures a finite gain between the disturbance and the output.
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Gospodarek, Janina, Abrham Endalamew, Matthew Worsdale, and Iwona B. Paśmionka. "Effects of Artemisia dracunculus L. Water Extracts on Selected Pests and Aphid Predator Coccinella septempunctata L." Agronomy 12, no. 4 (March 25, 2022): 788. http://dx.doi.org/10.3390/agronomy12040788.

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The aim of this study was to determine the effects of water extracts of tarragon (Artemisia dracunculus L.) on the feeding intensity, mortality, and weight gain of selected pests, i.e., adult pea leaf weevils (Sitona lineatus L.), nymphs, wingless females of black bean aphids (Aphis fabae Scop.), and L2 and L4 larvae of Colorado potato beetle (Leptinotarsa decemlineata Say). In addition, the effect of the tarragon extracts on the voracity of the non-target organism Coccinella septempunctata L. L3 larvae was examined. To reduce S. lineatus feeding, at least 10% dry matter (DM) extract and 20% fresh matter (FM) should be used. Tarragon water extract has strong aphicidal potential against A. fabae, with 84% mortality of nymphs at 30% FM and 78% mortality of wingless females at 10% DM after 108 h of exposure. Aphid nymphs turned out to be more sensitive to the extracts prepared from fresh tarragon than from its dry matter. They were also more sensitive than wingless females. The body weight gain of L2 and L4 larvae of Colorado potato beetle was significantly reduced through the application of 10% and 5% extracts prepared from dry matters, respectively, while extracts prepared from fresh matter turned out to be ineffective. L2 larvae were more susceptible to extracts than L4 larvae, which suggests that they should be used as early as possible in the pest season. No negative influence of the extracts used on the voraciousness of C. septempunctata L3 larvae was found.
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SASAKI, Seigo, and Kenko UCHIDA. "L2-Gain Analysis of Nonlinear Systems via Extended Quadratic Lyapunov Function." Transactions of the Society of Instrument and Control Engineers 33, no. 5 (1997): 352–58. http://dx.doi.org/10.9746/sicetr1965.33.352.

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OHTA, Yoshito, and Takashi KUNITAKE. "L2 Gain Analysis of Linear Parameter Varying Systems Based on Duality Theorem." Transactions of the Society of Instrument and Control Engineers 40, no. 2 (2004): 220–28. http://dx.doi.org/10.9746/sicetr1965.40.220.

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ASAI, Toru. "Necessary and Sufficient Conditions for Analysis of L2 Gain across Switching." Transactions of the Society of Instrument and Control Engineers 41, no. 5 (2005): 437–43. http://dx.doi.org/10.9746/sicetr1965.41.437.

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Zhang, Jie, Lifeng Ma, Yurong Liu, Ming Lyu, Fuad E. Alsaadi, and Yuming Bo. "H∞ and l2−l∞ finite-horizon filtering with randomly occurring gain variations and quantization effects." Applied Mathematics and Computation 298 (April 2017): 171–87. http://dx.doi.org/10.1016/j.amc.2016.11.014.

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MORINAGA, Eiji, and Kenji HIRATA. "L2-Gain Analysis of Piecewise Affine Systems via Piecewise Quadratic Storage Functions." Transactions of the Society of Instrument and Control Engineers 40, no. 4 (2004): 405–14. http://dx.doi.org/10.9746/sicetr1965.40.405.

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Dissertations / Theses on the topic "Gain L2/L∞"

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Ellero, Nicolas. "Synthèse d’observateurs intervalles à entrées inconnues pour les systèmes linéaires à paramètres variants." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0106/document.

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Cette thèse porte sur la conception d’une classe particulière d’estimateurs d'état, les observateurs intervalles. L’objectif est d’estimer de manière garantie, les bornes supérieure et inférieure de l’ensemble admissible de l'état d’un système, à chaque instant de temps. L’approche considérée repose sur la connaissance a priori du domaine d’appartenance, supposé borné, des incertitudes du système (incertitudes de modélisation, perturbations, bruits, etc). Une classe d'observateurs intervalles à entrées inconnues est proposée pour la classe des systèmes Linéaires à Paramètres Variants (LPV). La synthèse des paramètres de l’observateur repose sur la résolution d’un problème d’optimisation sous contraintes de type inégalités matricielles linéaires (LMI) permettant de garantir simultanément les conditions d’existence de l’observateur ainsi qu’un niveau de performance, soit dans un contexte énergie, soit dans un contexte amplitude ou soit dans un contexte mixte énergie/amplitude. Plus particulièrement, la performance de l'observateur repose sur une technique de découplage pour annuler les effets des entrées inconnues et une technique d’optimisation destinée à minimiser, au sens de critères de type gain L2et/ou gain L∞, les effets des perturbations sur la largeur totale de l’enveloppe de l'état du système LPV. La méthodologie de synthèse proposée est illustrée sur un exemple académique. Enfin, la méthodologie est appliquée au cas de la phase d’atterrissage du véhicule spatial HL20, sous des conditions de simulations réalistes
This thesis addresses the design of a class of estimator, named interval obser-ver, which evaluates in a guaranteed way, a set for the state of the system at each instant of time. The proposed approach is based on a priori knowledge of bounded sets for the system uncertainties (modeling uncertainties, disturbances, noise, etc.). A methodology to design an interval observer is proposed for the class of Linear Parameter Varying (LPV) Systems. The feasibility of the latter is based on the resolution of linear Matrix Inequalities (LMI) constraints allowing to simultaneously get the existence conditions of the intervalobserver and a certain level of a priori given performance for the state estimation of the system. Specifically, the performance of the estimates is based on a decoupling technique to avoid the effects of unknown inputs and an optimization technique to minimize, in the L2 and/or L∞ gain sense, the effects of disturbances on the estimated interval length for the state of the LPV system. The design methodology is illustrated on academic examples.Finally, the methodology is applied on the landing phase of the HL20 shuttle
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Mohammedi, Irryhl. "Contribution à l’estimation robuste par intervalle des systèmes multivariables LTI et LPV : Application aux systèmes aérospatiaux." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0142.

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Les travaux présentés dans ce mémoire de thèse visent à développer de nouvelles approches basées sur une nouvelle classe particulière d’estimateurs d´état : les filtres dits par intervalles. Tout comme la classe des observateurs intervalles, l’objectif est d’estimer les bornes supérieures et inférieures des états d’un système, à chaque instant de temps. L’approche proposée repose sur la théorie des systèmes monotones et sur la connaissance a priori du domaine d’appartenance, supposé borné, des incertitudes de modèle et des entrées exogènes (perturbations, bruit de mesure, etc). L’élément clé de l’approche proposée repose sur l’utilisation de filtre d’ordre quelconque, sans structure a priori fixée, plutôt qu’une structure basée sur l’observateur (reposant uniquement sur une structure dynamique du système étudié). La synthèse des paramètres du filtre repose sur la résolution d’un problème d’optimisation sous contraintes de type inégalités matricielles linéaires et bilinéaires (LMI et BMI) permettant de garantir simultanément les conditions d’existence du filtre ainsi qu’un niveau de performance, soit dans un contexte énergie, soit dans un contexte amplitude ou soit dans un contexte mixte énergie/amplitude. La méthodologie de synthèse proposée est illustrée sur un exemple académique et est comparée avec d’autres méthodes existantes dans la littérature. Enfin, la méthodologie est appliquée au cas du contrôle d’attitude et d’orbite d’un satellite, sous des conditions de simulations réalistes
The work of this thesis aims at developing new approaches based on a new particular class of state estimators, the so-called interval or ensemble filters.Like the class of interval observers, the objective is to estimate, in a guaranteed way, the upper and lower bounds of the states of a system, at each time instant.The proposed approach is based on the theory of monotonic systems and on the knowledge of the domain of membership, supposedly bounded, of the uncertainties of the system, such as disturbances, noise and bias of sensors, etc.The key element of the proposed approach is to use a filter structure advantage, rather than an observer-based structure (relying only on a dynamic structure of the studied system).The synthesis of the filter parameters is based on the resolution of a constrained optimization problem of linear and bilinear matrix inequalities (LMI and BMI) allowing to guarantee simultaneously the existence conditions of the filter as well as a performance level, either in an energy context for LTI systems, or in an amplitude context or in a mixed energy/amplitude context for LPV systemsThe proposed synthesis methodology is illustrated on an academic example and is compared with other existing methods in the literature. Finally, the methodology is applied to the case of attitude and acceleration control of a satellite, under realistic simulation conditions
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Book chapters on the topic "Gain L2/L∞"

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van der Schaft, Arjan. "$$L_2$$ L 2 -Gain and the Small-Gain Theorem." In L2-Gain and Passivity Techniques in Nonlinear Control, 199–211. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49992-5_8.

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Conference papers on the topic "Gain L2/L∞"

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Zhou, Bin, Zhao-Yan Li, and Zongli Lin. "Discrete-time l∞ and l2 norm vanishment and low gain feedback with their applications in constrained control." In 2012 24th Chinese Control and Decision Conference (CCDC). IEEE, 2012. http://dx.doi.org/10.1109/ccdc.2012.6243053.

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Mailhot, S., N. McCarthy, and Y. Champagne. "Enhanced lateral-mode selectivity of a broad-area semiconductor laser with an external cavity." In The European Conference on Lasers and Electro-Optics. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/cleo_europe.1994.ctup2.

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External-cavity schemes have been recognized as efficient ways for controlling the lateral-mode content of the output beam emitted from high-power broad-area (BA) semiconductor lasers.1,2 The external cavity can act as a mode-selecting device provided that the beam fed back into the BA laser is allowed to be wider than that of the free-running BA laser. Due to the limited lateral dimension of the gain medium, a wider beam is expected to experience higher losses, so that the fundamental lateral mode will be favored, compared to the higher-order lateral modes having larger sizes. We have investigated, both theoretically and experimentally, the lateral-mode behaviour of a BA GaAlAs semiconductor laser (stripe width W = 75 μm, length L = 370 μm) operated with an anamorphic external cavity comprising a collimation lens system (f1 = 8 mm) and a cylindrical lens (f2 = 25 mm). This lens is spaced from the collimation lens by the distance d = 30 mm, and the external cavity is bounded by a uniform 30%-reflecting plane mirror M1. Figure 1 illustrates schematically the external-cavity configuration. For the lateral direction parallel to the junction plane, the size of the beam incident upon the antireflection (AR) coated facet of the BA laser can be adjusted by changing the distance L2 between the cylindrical lens and the external mirror. The curvature of the cylindrical lens lies along the lateral direction, so that the beam size along the transverse direction, perpendicular to the junction plane, remains unchanged after propagation in the external cavity.
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