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Journal articles on the topic 'Modèles 2D de Fornasini-Marchesini'

Author: Grafiati

Published: 1 February 2023

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1

Lomadze, Vakhtang, Eric Rogers, and Jeffrey Wood. "Singular 2D Behaviors: Fornasini–Marchesini and Givone–Roesser Models." gmj 16, no. 1 (March 2009): 105–30. http://dx.doi.org/10.1515/gmj.2009.105.

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Abstract In this paper we study 2D Fornasini–Marchesini and 2D Givone–Roesser models from the viewpoint developed in our recent paper [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008]. We give necessary and sufficient conditions for a behavior to be expressable in Fornasini–Marchesini or Givone–Roesser form, and a canonical realization when the conditions are met. We also study the regularity, controllability and autonomy of these models. In particular, we provide the concepts of controllability in the sense of Kalman for each model, and show that they agree with the behavioral controllability as defined in [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008].

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2

Hmamed, A., M. Alfidi, A. Benzaouia, and F. Tadeo. "LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems." Mathematical Problems in Engineering 2008 (2008): 1–11. http://dx.doi.org/10.1155/2008/356124.

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Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

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3

Negi, Richa, Haranath Kar, and Shubhi Purwar. "Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation." ISRN Computational Mathematics 2012 (March 14, 2012): 1–9. http://dx.doi.org/10.5402/2012/847178.

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This paper proposes a novel antiwindup controller for 2D discrete linear systems with saturating controls in Fornasini-Marchesini second local state space (FMSLSS) setting. A Lyapunov-based method to design an antiwindup gain of 2D discrete systems with saturating controls is established. Stability conditions allowing the design of antiwindup loops, in both local and global contexts have been derived. Numerical examples are provided to illustrate the applicability of the proposed method.

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4

Kaczorek, T. "Asymptotic stability of positive 2D linear systems with delays." Bulletin of the Polish Academy of Sciences: Technical Sciences 57, no. 2 (June 1, 2009): 133–38. http://dx.doi.org/10.2478/v10175-010-0113-4.

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Asymptotic stability of positive 2D linear systems with delays New necessary and sufficient conditions for the asymptotic stability of positive 2D linear systems with delays described by the general model, Fornasini-Marchesini models and Roesser model are established. It is shown that checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to the checking of the asymptotic stability of corresponding positive 1D linear systems without delays. The efficiency of the new criterions is demonstrated on numerical examples.

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5

Naoual, Rachid, Abderrahim El-Amrani, and Ismail Boumhidi. "Finite frequency model reduction for 2-D fuzzy systems in FM model." E3S Web of Conferences 297 (2021): 01035. http://dx.doi.org/10.1051/e3sconf/202129701035.

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This paper deals with the problem of H∞ model reduction for two-dimensional (2D) discrete Takagi-Sugeno (T-S) fuzzy systems described by Fornasini-Marchesini local state-space (FM LSS) models, over finite frequency (FF) domain. New design conditions guaranteeing the FF H∞ model reduction are established in terms of Linear Matrix Inequalities (LMIs). To highlight the effectiveness of the proposed H∞ model reduction design, a numerical example is given.

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6

Zhang, Guangchen, and Weiqun Wang. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models." International Journal of Systems Science 48, no. 4 (July 29, 2016): 778–87. http://dx.doi.org/10.1080/00207721.2016.1212436.

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7

Jia, Jiajia, and Guangchen Zhang. "Co-Design of Output-Based Event-Triggered Protocol and Sliding Mode Control for 2D Nonlinear Fornasini-Marchesini Network under Packet Dropouts." Electronics 11, no. 19 (September 21, 2022): 2986. http://dx.doi.org/10.3390/electronics11192986.

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This paper focuses on the stability and sliding mode issues for the two-dimensional (2D) Fornasini-Marchesini (FMII) networked control system under packet dropouts. Firstly, the output-based 2D event-triggered strategy was constructed to alleviate information transmission pressure caused by limited network resources. Secondly, by considering the impact of packet dropouts, we propose an output-based 2D sliding mode controller and formulate the output-based 2D error-estimation scheme accordingly. Moreover, to get rid of the nonlinear coupling of the conditions (to guarantee the mean-square stability), we established an adaptive intelligence algorithm. Finally, we provide a numerical example to verify the effectiveness and practicability of the proposed algorithm and controller design.

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8

Chen, Dongyan, and Hui Yu. "Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/749782.

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The problem of stability analysis is investigated for a class of state saturation two-dimensional (2D) discrete time-delay systems described by the Fornasini-Marchesini (F-M) model. The delay is allowed to be a bounded time-varying function. By constructing the delay-dependent 2D discrete Lyapunov functional and introducing a nonnegative scalarβ, a sufficient condition is proposed to guarantee the global asymptotic stability of the addressed systems. Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily tested by using the standard numerical software. Finally, two numerical examples are given to show the effectiveness of the proposed stability criterion.

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9

Kaczorek, Tadeusz. "Pointwise completeness and pointwise degeneracy of 2D standard and positive Fornasini‐Marchesini models." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 30, no. 2 (March 8, 2011): 656–70. http://dx.doi.org/10.1108/03321641111101131.

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10

Ben Mohamed, Sameh, Boumedyen Boussaid, Mohamed Naceur Abdelkrim, and Charfeddine Tahri. "1D and 2D modelling of a chemical process using the FM-II model: Rotary drum filter." Transactions of the Institute of Measurement and Control 40, no. 4 (January 24, 2017): 1309–19. http://dx.doi.org/10.1177/0142331216681401.

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This work treats the physical one-dimensional (1D) and two-dimensional (2D) modelling of a chemical process of filtration of slurry, which is the second step of phosphoric acid manufacture. This work focuses on the different physical laws involved in the filtration stage in order to obtain a simulator of the filter. In this work, we are interested in the 1D modelling of a rotary filter using all parameters and physical phenomena established in the filtration phase. Then, a 2D model emerged from the previous model by choosing both a temporal and a spatial variable. These two parameters are quite necessary for the construction of a 2D model based on the method of Fornasini–Marchesini (FM-II) to describe the dynamics of the system.

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11

Dey, Anurita, and Haranath Kar. "LMI-Based Criterion for the Robust Stability of 2D Discrete State-Delayed Systems Using Generalized Overflow Nonlinearities." Journal of Control Science and Engineering 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/271515.

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This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, linear-matrix-inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.

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12

MESSITER, MARK, and YACOV SHAMASH. "Reduced transfer matrix from the more general 2D state-space model of Fornasini-Marchesini." International Journal of Systems Science 18, no. 4 (January 1987): 735–38. http://dx.doi.org/10.1080/00207728708964003.

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13

Galkowski, Krzysztof, and Eric Rogers. "Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades." International Journal of Control 91, no. 12 (December 2, 2018): 2801–22. http://dx.doi.org/10.1080/00207179.2018.1537004.

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14

Wei, Yanling, Mao Wang, Hamid Reza Karimi, and Jianbin Qiu. "ℋ∞Control for Two-Dimensional Markovian Jump Systems with State-Delays and Defective Mode Information." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/520503.

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This paper investigates the problem ofℋ∞state-feedback control for a class of two-dimensional (2D) discrete-time Markovian jump linear time-delay systems with defective mode information. The mathematical model of the 2D system is established based on the well-known Fornasini-Marchesini local state-space model, and the defective mode information simultaneously consists of the exactly known, partially unknown, and uncertain transition probabilities. By carefully analyzing the features of the transition probability matrices, together with the convexification of uncertain domains, a newℋ∞performance analysis criterion for the underlying system is firstly derived, and then theℋ∞state-feedback controller synthesis is developed via a linearisation technique. It is shown that the controller gains can be constructed by solving a set of linear matrix inequalities. Finally, an illustrative example is provided to verify the effectiveness of the proposed design method.

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15

Buslowicz, Mikolaj, and Andrzej Ruszewski. "Computer aided methods for stability analysis of 2D linear systems described by the first Fornasini-Marchesini model." Journal of Automation, Mobile Robotics & Intelligent Systems 8, no. 2 (April 7, 2014): 3–8. http://dx.doi.org/10.14313/jamris_2-2014/12.

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16

BOUKILI, Bensalem, Mostafa EL MALLAHI, Abderrahim AMRANI, Amal ZOUHRI, Ismail BOUMHIDI, and Abdelaziz HMAMED. "A new approach for $$H_{\infty }$$ deconvolution filtering of 2D systems described by the Fornasini–Marchesini and discrete moments." Pattern Analysis and Applications 25, no. 1 (October 27, 2021): 63–76. http://dx.doi.org/10.1007/s10044-021-01030-7.

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17

Hanba, Shigeru. "A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini–Marchesini second model." Multidimensional Systems and Signal Processing 31, no. 1 (June 25, 2019): 289–97. http://dx.doi.org/10.1007/s11045-019-00663-6.

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18

Bors, Dorota, and Marek Majewski. "On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model." Multidimensional Systems and Signal Processing 24, no. 4 (October 23, 2012): 657–65. http://dx.doi.org/10.1007/s11045-012-0207-2.

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19

Agarwal, Neha, and Haranath Kar. "Criterion for non‐existence of limit cycles in 2D state‐space digital filters described by the Fornasini–Marchesini second model with finite wordlength non‐linearities." IET Signal Processing 10, no. 5 (July 2016): 449–56. http://dx.doi.org/10.1049/iet-spr.2014.0099.

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20

Rogowski, Krzysztof. "Solution to the Fractional-Order 2D Continuous Systems Described by the Second Fornasini-Marchesini Model * *This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467." IFAC-PapersOnLine 50, no. 1 (July 2017): 9748–52. http://dx.doi.org/10.1016/j.ifacol.2017.08.2179.

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21

Zhang, Jia-Rui, Jun-Guo Lu, and Zhen Zhu. "Stability analysis and stabilisation of continuous-discrete fractional-order 2D Fornasini–Marchesini first model." International Journal of Systems Science, October 3, 2022, 1–12. http://dx.doi.org/10.1080/00207721.2022.2122901.

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22

Singh, Shimpi, and Haranath Kar. "Stability of 2D Lipschitz Nonlinear Digital Filters in Fornasini–Marchesini Second Model with Overflow Arithmetic." Journal of Control, Automation and Electrical Systems, August 3, 2022. http://dx.doi.org/10.1007/s40313-022-00930-1.

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23

Zhang, Guangchen, Xufei Li, Yuanqing Xia, and Shuping He. "Adaptive sliding mode control for 2D nonlinear Fornasini–Marchesini model subject to quantisation and packet dropouts." International Journal of Systems Science, April 22, 2021, 1–12. http://dx.doi.org/10.1080/00207721.2021.1916642.

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