H∞ Control of Discrete Linear Repetitive Processes

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2003, Pages 628-633

  Paszke, W ^a   Galkowski K ^a   Rogers, E ^b   Owens, D H ^c  

^a UNIVERSITY OF ZIELONA GÓRA   (Poland)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^c UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ITERATIVE METHODS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

INFORMATION PROPAGATION; ITERATIVE LINEAR CONTROL;

DISCRETE TIME CONTROL SYSTEMS;

EID: 1542269281     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. Amann, N. and Owens, D. H. and Rogers, E.: Predictive optimal iterative learning control, 1998, International Journal of Control, 69(2). pp. 203-226.
2. Boyd, S. and Ghaoui, L. E. and Feron, E. and Balakrishnan, V.: Linear Matrix Inequalities In System and Control Theory, 1994, Volume 15 of SIAM Studies in Applied Mathematics, SIAM, Philadelphia.
3. Du, C. and Xie, L.: H∞ Control and Filtering of Two-dimensional Systems, 2002, Springer Verlag Lecture Notes in Control and Information Sciences, Volume 278, Berlin.
4. Galkowski, K. and Rogers, E. and Xu, S. and Lam, J. and Owens, D. H.: LMIs -a fundamental tool in analysis and controller design for discrete linear repetitive processes, 2002, IEEE Transactions on Circuits and Systems, Part I: Fundamental Theory and Applications, 49(6), pp. 768-778.
5. P. P. Khargonekar, I.R. Petersen, and K. Zhou.: Robust Stabilization of Uncertain Linear Systems: Quadratic Stabilizability and H∞ Control Theory, 1990. IEEE Transactions on Automatic Control, 35(3), pp. 356-361.
6. Lu, W. S. and Antoniou, A.: Two-Dimensional Digital Filters, 1992, Volume 80 of Electrical Engineering and Electronics Series, Marcel Dekker. New York.
7. Roberts, P. D.: Numerical investigations of a stability theorem arising from 2-dimensional analysis of an iterative optimal control algorithm. 2000, Multidimensional Systems and Signal Processing, 11(1/2). pp. 109-124.
8. Rogers, E. and Owens, D. H: Stability Analysis for Linear Repetitive Processes, 1992, Springer-Verlag Lecture Notes in Control and Information Sciences Series, Volume 175, Berlin.