H2 and mixed H2/H∞ stabilization and disturbance attenuation for differential linear repetitive processes

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 55, Issue 9, 2008, Pages 2813-2826

  Paszke, Wojciech ^a   Gałkowski, Krzysztof ^b   Rogers, Eric ^c   Lam, James ^d  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF ZIELONA GÓRA   (Poland)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^d UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Differential linear repetitive processes; H2 and mixed and mixed H2H control; Linear matrix inequalities

Indexed keywords

INFORMATION DISSEMINATION; STABILIZATION; SYSTEM THEORY;

DIFFERENTIAL LINEAR REPETITIVE PROCESS; DISTURBANCE ATTENUATION; INFORMATION PROPAGATION; NEW RESULTS; REPETITIVE PROCESS; SUB CLASS; TWO-DIMENSIONAL (2D) SYSTEMS; TWO-DIMENSIONAL SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 56349144401     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.922026     Document Type: Article

References (17)

1. P. Agathoklis and L. T. Bruton, "Practical-BIBO stability of n-dimensional discrete systems," Proc. Inst. Elect. Eng., vol. 130, pp. 236-242, 1983.
2. A. Barton and P. Lewin, "Experimental comparison of the performance of different chain conveyor controllers," Proc. Inst. Mech. Eng. Part I, J. Syst. Control Eng., vol. 214, no. 5, pp. 361-369, 2000.
3. ∞ Control and Filtering of Two-Dimensional Systems, ser. Lecture Notes in Control and Information Sciences. Berlin, Germany: Springer-Verlag, 2002, vol. 278.
4. K. Gałkowski, W. Paszke, E. Rogers, S. Xu, J. Lam, and D. H. Owens, "Stability and control of differential linear repetitive processes using an LMI seting," IEEE Trans. Circuits Syst._II: Analog Digital Signal Process., vol. 50, no. 9, pp. 662-666, Sep. 2003.
5. ∞ control theory," IEEE Trans. Autom. Control, vol. 35, no. 3, pp. 356-361, Mar. 1990.
6. W.-S. Lu and A. Antoniou, Two-Dimensional Digital Filters, ser. Elect. Eng. Electron.. New York: Marcel Dekker, 1992, vol. 80.
7. K. L. Moore, Y. Chen, and V. Bahl, "Monotonically convergent iterative learning control for linear discrete-time systems," Automatica, vol. 41, no. 9, pp. 1529-1537, 2005.
8. D. H. Owens, N. Amann, E. Rogers, and M. French, "Analysis of linear iterative learning control schemes-A 2-D systems/repetitive processes approach," Multidimensional Syst. Signal Process., vol. 11, no. 1-2, pp. 125-177, 2000.
9. ∞ control of differential linear repetitive processes," in Proc. 44th IEEE Conf. Decision Control Eur. Control Conf. ECC'05, Seville, Spain, Dec. 12-15, 2005.
10. ∞ control of differential linear repetitive processes," in Proc. Amer. Control Conf. (ACC), Boston, MA, 30 Jun.-2 Jul. 2004, vol. 2, pp. 1386-1391.
11. ∞ control of differential linear repetitive processes," IEEE Trans. Circuits Syst. -II: Express Briefs, vol. 53, no. 1, pp. 39-44, Jan. 2006.
12. P. D. Roberts, "Two-dimensional analysis of an iterative nonlinear optimal control algorithm," IEEE Trans. Circuits Syst. I: Fundamental Theory Applicat., vol. 49, no. 6, pp. 872-878, Jun. 2002.
13. E. Rogers, K. Galkowski, and D. H. Owens, Control Systems Theory and Applications for Linear Repetitive Processes, ser. Lecture Notes in Control and Information Sciences. Berlin, Germany: Springer-Verlag, 2007, vol. 349.
14. C. Scherer, P. Gahinet, and M. Chilali, "Multiobjective output-feedback control via LMI optimization," IEEE Trans. Autom. Control, vol. 42, no. 7, pp. 896-911, Jul. 1997.
15. B. Sulikowski, K. Gałkowski, E. Rogers, and D. H. Owens, "Proportional plus integral control and disturbance rejection for differential linear repetitive processes," in Proc. Amer. Control Conf. (ACC), Portland, OR, Jun. 8-10, 2005, vol. 3, pp. 1782-1787.
16. ∞ filtering of 2-D systems," IEEE Trans. Signal Process. vol. 50, no. 7, pp. 1759-1771, Jul. 2002.
17. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. London, U.K.: Prentice-Hall, 1996.