H2 and mixed H2 / H∞ control of two-dimensional systems in Roesser model

Automatica

Volumn 42, Issue 9, 2006, Pages 1507-1514

  Yang, Ran ^a   Xie, Lihua ^b   Zhang, Cishen ^b  

^a SUN YAT SEN UNIVERSITY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

H2 H control; H2 control; Linear matrix inequality; Roesser model; Two dimensional systems

Indexed keywords

MATHEMATICAL MODELS; PROBLEM SOLVING; SIGNAL PROCESSING; SYSTEMS ANALYSIS;

H2 / H∞ CONTROL; H2 CONTROL; LINEAR MATRIX INEQUALITY; ROESSER MODEL; TWO DIMENSIONAL SYSTEMS;

CONTROL THEORY;

EID: 33746224047     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.04.002     Document Type: Article

References (17)

1. Bliman P.A. Lyapunov equation for the stability of 2-d systems. Multidimensional Systems and Signal Processing 13 (2002) 201-222
2. de Oliviera M.C., Geromel J.C., and Bernussou J. An LMI optimization approach to multiobjective controller design for discrete-time systems. Proceedings of the 38th IEEE conference on decision and control (1999) 3611-3616
3. ∞ control and filtering of two-dimensional systems (2002), Springer, Berlin
4. ∞ control and robust stabilization of 2-dimensional systems in Roesser models. Automatica 37 (2001) 205-211
5. ∞ control. International Journal of Robust and Nonlinear Control 4 (1994) 421-448
6. Galkowski K. Higher order discretization of 2-D systems. IEEE Transactions on Circuits and Systems-I 47 (2000) 713-722
7. Kaczorek T. Two-dimensional linear systems (1985), Springer, Berlin
8. Kevorkian J. Partial differential equations: Analytical solution techniques (1993), Chapman & Hall, London
9. Li C., and Fadali M.S. Optimal control of 2-D systems. IEEE Transactions on Automatic Control 36 (1991) 223-228
10. Lu W.S., and Lee E.B. Stability analysis for two-dimensional systems via a Lyapunov approach. IEEE Transactions on Circuits and Systems 32 (1985) 61-68
11. Renardy M., and Rogers R. An introduction to partial differential equations (1992), Springer, Berlin
12. Roberts P.D. Two-dimensional analysis of an iterative nonlinear optimal control algorithm. IEEE Transactions on Circuits and Systems-I 49 (2002) 872-878
13. Roesser R.P. A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control 20 (1975) 1-10
14. Rogers E., and Owens D. Stability analysis for linear repetitive processes (1992), Springer, London
15. Tsai J.S.-H., Li J.S., and Shieh L.-S. Discretized quadratic optimal control for continuous-time two-dimensional systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 (2002) 116-125
16. ∞ filtering of 2-D systems. IEEE Transactions on Signal processing 50 (2002) 1759-1771
17. Yamada M., Xu L., and Saito O. 2-D model following servo system. Multidimensional Systems and Signal Processing 10 (1999) 71-91