Robust Control for Uncertain Two-Dimensional Discrete Systems Described by the General Model via Output Feedback Controllers |
Xu, Huiling
(Department of Applied Mathematics, Nanjing University of Science and Technology)
Zou, Yun (Department of Automation, Nanjing University of Science and Technology) Xu, Shengyuan (Department of Automation, Nanjing University of Science and Technology) Guo, Lei (School of instrument Science and Opto-Electronics Engineering, Beihang University) |
1 | T. Kaczorek, Two-Dimensional Linear Systems, Springer-Verlag, Berlin, 1985 |
2 | T. Kaczorek, "Minimum energy control for general model of 2-D linear systems," Int. J. Control, vol. 47, pp. 1555-1562, 1988 DOI ScienceOn |
3 | H. Kar and V. Singh, "Stability analysis of 2-D state-space digital filters with overflow nonlinearities," IEEE Trans. Circuits Syst. I, vol. 47, pp. 598-601, 2000 DOI ScienceOn |
4 | Y. Minory, L. Xu, and S. Osami, "2D modelfollowing servo system," Multidimensional Systems and Signal Processing, vol. 10, pp. 71-91, 1999 DOI |
5 | S. Xu, J. Lam, Z. Lin, and K. Galkowski, "Positive real control for uncertain twodimensional systems," IEEE Trans. Circuits Syst. I, vol. 49, pp. 1659-1666, 2002 DOI |
6 | J. Kevorkian, Partial Differential Equations: Analytical Solution Techniques, Chapman & Hall, London, 1993 |
7 | Z. Lin and L. Bruton, "BIBO stability of inverse 2-D digital filters in the presence of nonessential singularities of the second kind," IEEE Trans. Circuits Syst., vol. 36, pp. 244-254, 1989 DOI ScienceOn |
8 | H. Kar and V. Singh, "Stability of 2-D systems described by the Fornasini-Marchesini first model," IEEE Trans. on Signal Processing, vol. 6, pp. 1675-1676, 2003 |
9 | Y. Wang, L. Xie, and C. E. de Souza, "Robust control of a class of uncertain nonlinear systems," Systems & Control Lett., vol. 19, pp. 139-149, 1992 DOI ScienceOn |
10 | T. Kaczorek, "Local controllability and minimum energy control of continuous 2-D linear systems with variable coefficients," Multidimensional Systems and Signal Processing, vol. 6, pp. 69-75, 1995 DOI |
11 | M. Bisiacco, E. Fornasini, and G. Marchesini, "On some connections between BIBO and internal stability of two-dimensional filters," IEEE Trans. on Circuits and Systems, vol. 32, pp. 948-953, 1985 DOI |
12 | Z. Lin, J. Ying, and L. Xu, "An algebraic approach to strong stabilizability of linear n-D MIMO systems," IEEE Trans. on Automatic Control, vol. 47, pp. 1510-1514, 2002 DOI ScienceOn |
13 | Y. Zou and C. Yang, "An algorithm for computation of 2-D eigenvalues," IEEE Trans. on Automatic Control, vol. 39, pp. 1434-1436, 1994 |
14 | H. Xu, Y. Zou, and S. Xu, "Robust control for a class of uncertain nonlinear twodimensional systems," Int. J. Innovative Computing, Information and Control, vol. 1, pp. 181-191, 2005 |
15 | R. Yang, L. Xie, and C. Zhang, " and mixed control of two-dimensional systems in Roesser model," Automatica, vol. 42, pp. 1507-1514, 2006 DOI ScienceOn |
16 | C. Du and L. Xie, Control and Filtering of Two-dimensional Systems, Springer-Verlag, Heidelberg, 2002 |
17 | M. Sampei, T. Mita, and M. Nakamichi, "An algebraic approach to output feedback control problems," Systems & Control Lett., vol. 14, pp. 13-24, 1990 DOI ScienceOn |
18 | L. Yuan, L. E. K. Achenie, and W. Jiang, "Robust control for linear discrete-time systems with norm-bounded time varying uncertainty," Systems & Control Lett., vol. 27, pp. 199-208, 1996 DOI ScienceOn |
19 | J. E. Kurek, "The general state-space model for a two-dimensional linear digital system," IEEE Trans. on Automatic Control, vol. 30, pp. 600-602, 1985 DOI |
20 | W.-S. Lu and A. Antoniou, Two-Dimensional Digital Filters, Marcel Dekker, New York, 1992 |