Robust H_∞ filtering for 2D continuous systems with finite frequency specifications

References

• Basin, M. V. (2003). On optimal filtering for polynomial system states. Journal of Dynamic Systems Measurement and Control, 125(1), 123–125.
   Web of Science ®Google Scholar
• Benhayoun, M., Mesquine, F., & Benzaouia, A. (2013). Delay dependent stabilizability of 2-D delayed continuous systems with saturating control. Circuits, Systems and Signal Processing, 32(6), 2723–2743.
   Web of Science ®Google Scholar
• Benzaouia, A., Hmamed, A., & Tadeo, F. (2016). Two-dimensional systems: From introduction to state of the art. Studies in Systems Decision and Control, 28.
   Google Scholar
• Boukili, B., Hmamed, A., Benzaouia, A., & El Hajjaji, A. (2013). H∞ filtering of two-dimensional T-S fuzzy systems. Circuits, Systems, and Signal Processing, 33(6), 1737–1761.
   Web of Science ®Google Scholar
• Boukili, B., Hmamed, A., & Tadeo, F. (2016a). Robust H∞ filtering for 2-D discrete Roesser systems. Journal of Control, Automation and Electrical Systems, 27(5), 497–505.
   Web of Science ®Google Scholar
• Boukili, B., Hmamed, A., & Tadeo, F. (2016b). Reduced-order H∞ filtering with intermittent measurements for a class of 2D systems. Journal of Control, Automation and Electrical Systems, 27(6), 597–607.
   Web of Science ®Google Scholar
• Boukili, B., Hmamed, A., Zoulagh, T., & Tadeo, F. (2016 May). Robust H∞ filtering for 2D systems with perturbation stochastic. Proceedings of the 5th international conference on systems and control (ICSC). (pp. 326–331). IEEE
   Google Scholar
• Bracewell, R. N. (1995). Two-dimensional imaging. NJ: Prentice-Hall Signal Processing Series.
   Google Scholar
• Chang, X. H., Park, J. H., & Tang, Z. (2015). New approach to H∞ filtering for discrete-time systems with polytopic uncertainties. Signal Processing, 113, 147–158.
   Web of Science ®Google Scholar
• Chen, Y., Zhang, W., & Gao, H. (2010). Finite frequency H∞ control for building under earthquake excitation. Mechatronics, 20(1), 128–142.
   Web of Science ®Google Scholar
• Ding, D. W., Wang, H., & Li, X. (2015). H−/H∞ fault detection observer design for two-dimensional Roesser systems. Systems & Control Letters, 82, 115–120.
   Web of Science ®Google Scholar
• Ding, D., & Yang, G. (2009). Finite frequency H∞ filtering for uncertain discrete-time switched linear systems. Progress in Natural Science, 19(11), 1625–1633.
   Web of Science ®Google Scholar
• Du, C., & Xie, L. (2002). Control and filtering of two-dimensional systems. Berlin, Germany: Springer-Verlag.
   Google Scholar
• Du, C., Xie, L., & Soh, Y. C. (2001). H∞ Reduced-order approximation of 2-D digital filters. IEEE Transactions on Circuits and Systems I, 48(6), 688–698.
   Google Scholar
• Duan, Z., & Xiang, Z. (2017). Finite frequency H∞ control of 2-D continuous systems in Roesser model. Multidimensional Systems and Signal Processing, 28(4), 1481–1497.
   Web of Science ®Google Scholar
• Duan, Z., Zhang, J., Zhang, C., & Mosca, E. (2006). Robust H2 and H∞ filtering for uncertain linear systems. Automatica, 42(11), 1919–1926.
   Web of Science ®Google Scholar
• Dymkou, S., Rogers, E., Dymkov, M., & Galkowski, K. (2008). Constrained optimal control theory for differential linear repetitive processes. SIAM Journal of Control and Optimization, 47(1), 396–420.
   Web of Science ®Google Scholar
• Eising, R. (1979). Controllability and observability of 2-D systems. IEEE Transactions on Automatic Control, 24(1), 132–133.
   Web of Science ®Google Scholar
• El-amrani, A., Hmamed, A., Boukili, B., & El hajaji, A. (2016 May). H∞ filtering of T-S fuzzy systems in finite frequency domain. Proceedings of the 5th international conference on systems and control (ICSC), (pp. 306–312), IEEE.
   Google Scholar
• El Hellani, D., El Hajjaji, A., & Ceschi, R. (2017). H∞ filter design for nonlinear systems with quantised measurements in finite frequency domain. International Journal of Systems Science, 48(5), 1048–1059.
   Web of Science ®Google Scholar
• El-Kasri, C., Hmamed, A., & Tadeo, F. (2013). Reduced-order H∞ filters for uncertain 2D continuous systems, via LMIs and polynomial matrices. Circuits, Systems, and Signal Processing, 33(4), 1189–1214.
   Web of Science ®Google Scholar
• El-Kasri, C., Hmamed, A., Tissir, E. H., & Tadeo, F. (2013). Robust H∞ filtering for uncertain two-dimensional continuous systems with time-varying delays. Multidimensional Systems and Signal Processing, 24(4), 685–706.
   Web of Science ®Google Scholar
• Fornasini, E., & Marchesini, G. (1976). State-space realization theory of two-dimensional filters. IEEE Transactions on Automatic Control, 21(4), 484–492.
   Web of Science ®Google Scholar
• Gahinet, P., & Apkarian, P. (1994). A linear matrix inequality approach to H∞ control. International Journal of Robust and Nonlinear Control, 4, 421–448
   Web of Science ®Google Scholar
• Gao, C. Y., Duan, G. R., & Meng, X. Y. (2008). Robust H∞ filter design for 2D discrete systems in Roesser model. International Journal of Automation and Computing, 5(4), 413–418.
   Google Scholar
• Gao, H., & Li, X. (2011). H∞ filtering for discrete-time state-delayed systems with finite frequency specifications. IEEE Transactions on Automatic Control, 56(12), 2935–2941.
   Web of Science ®Google Scholar
• Gao, H., & Li, X. (2014). Robust filtering for uncertain systems. A parameter-dependent approach. Springer Communications and Control Engineering series.
   Google Scholar
• Hinamoto, T. (1993). 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(2), 102–110.
   Google Scholar
• Hmamed, A., El Kasri, C., Tissir, E. H., Alvarez, T., & Tadeo, F. (2013). Robust H∞ filtering for uncertain 2D continuous systems with delays. International Journal of Innovative Computing Information and Control, 9(5), 2167–2183.
   Google Scholar
• Kaczorek, T. (1985). Two-dimensional linear systems. Berlin. Germany: Springer–Verlag.
   Google Scholar
• Lacerda, M. J., Oliveira, R. C., & Peres, P. L. (2011). Robust H2 and H∞ filter design for uncertain linear systems via LMIs and polynomial matrices. Signal Processing, 91(5), 1115–1122.
   Web of Science ®Google Scholar
• Li, X., & Gao, H. (2012). Robust finite frequency H∞ filtering for uncertain 2-D Roesser systems. Automatica, 48(6), 1163–1170.
   Web of Science ®Google Scholar
• Li, X., & Gao, H. (2013). Robust finite frequency H∞ filtering for uncertain 2-D systems: The FM model case. Automatica, 49, 2446–2452.
   Web of Science ®Google Scholar
• Li, X., Lam, J., Gao, H., & Xiong, J. (2016). H∞ and H2 filtering for linear systems with uncertain Markov transitions. Automatica, 67, 252–266.
   Web of Science ®Google Scholar
• Lofberg, J. (2004 September). YALMIP: A toolbox for modeling and optimization in MATLAB. In Proceedings of the IEEE computer-aided control system design conference (pp. 284–289). Taipei, Taiwan: IEEE.
   Google Scholar
• Lu, W. S., & Antoniou, A. (1992). Two-dimensional digital filters. New York, NY: Marcel Dekker.
   Google Scholar
• Petersen, I. R., & McFarlane, D. C. (1994). Optimal guaranteed cost control and filtering for uncertain linear-systems. IEEE Transactions on Automatic Control, 39(9), 1971–1977.
   Web of Science ®Google Scholar
• Petersen, I. R., & Savkin, A. V. (1999). Robust Kalman filtering for signals and systems with large uncertainties. Springer Science & Business Media.
   Google Scholar
• Roesser, R. (1975). A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control, 20, 1–10.
   Web of Science ®Google Scholar
• Rogers, E., Galkowski, K., Gramacki, A., Gramacki, J., & Owens, D. H. (2002). Stability and controllability of a class of 2-D linear systems with dynamic boundary conditions. IEEE Transactions Circuits Systems, 49(1), 181–195.
   Google Scholar
• Shi, P. (1998). Filtering on sampled-data systems with parametric uncertainty. IEEE Transactions Automatic Control, 43(7), 1022–1027.
   Web of Science ®Google Scholar
• Shi, P., Boukas, E. K., & Agarwal, R. K. (1990). Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters. IEEE Transactions on Automatic Control, 44(8), 1592–1597.
   Google Scholar
• Shi, Y., & Chen, T. (2003). Optimal design of multichannel transmultiplexers with stopband energy and passband magnitude constraints. IEEE Transactions Circuits systems. II. Analog Digital Signal Process, 50(9), 659–662.
   Google Scholar
• Shi, Y., & Fang, H. (2010). Kalman filter-based identification for systems with randomly missing measurements in a network environment. International Journal of Control, 88(3), 538–551.
   Web of Science ®Google Scholar
• Sturm, J. F. (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11(1–4), 625–653.
   Web of Science ®Google Scholar
• Tuan, H. D., Apkarian, P., Nguyen, T. Q., & Narikiyo, T. (2002). Robust mixed H2/H∞ filtering of 2-D systems. IEEE Transactions on Signal Processing, 50(7), 1759–1771.
   Web of Science ®Google Scholar
• Wang, H., & Yang, G. H. (2008). A finite frequency approach to filter design for uncertain discrete-time systems. International Journal of Adaptive Control and Signal Processing, 22(6), 533–550.
   Web of Science ®Google Scholar
• Wu, L., Shi, P., Gao, H., & Wang, C. (2008). H∞ filtering for 2D Markovian jump systems. Automatica, 44(7), 1849–1858.
   Web of Science ®Google Scholar
• Xu, S., Lam, J., Lin,Z., Galkowski, K., Paszke, W., Sulikowski, B., Rogers, E., & Owens, D. (2003). Positive real control of two-dimensional systems: Roesser models and linear repetitive processes. International Journal of Control, 76(11), 1047–1058.
   Web of Science ®Google Scholar
• Xu, S., Lam, J., Zou, Y., Lin, Z., & Paszke, W. (2005). Robust H∞ filtering for uncertain 2D continuous systems. IEEE Transactions on Signal Processing, 53(5) 1731–1738.
   Web of Science ®Google Scholar
• Xu, L., Saito, O., & Abe, K. (1994). Output feedback stabilizability and stabilization algorithms for 2-D systems. Multidimensional Systems and Signal Processing, 5(1), 41–60.
   Web of Science ®Google Scholar
• Yang, R., Xie, L., & Zhang, C. (2006). H2 and mixed H2/H∞ control of two-dimensional systems in Roesser model. Automatica, 42(9), 1507–1514.
   Web of Science ®Google Scholar