Robust L2 - L∞ control of uncertain differential linear repetitive processes

Systems and Control Letters

Volumn 57, Issue 5, 2008, Pages 425-435

  Wu, Ligang ^a   Wang, Zidong ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

Dynamic output feedback control; L2 L performance; Linear matrix inequality (LMI); Linear repetitive processes (LRPs); Uncertainty

Indexed keywords

CONTROL EQUIPMENT; DYNAMIC RESPONSE; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; OPTIMIZATION; PROBLEM SOLVING; ROBUST CONTROL; SYSTEM THEORY;

DYNAMIC OUTPUT FEEDBACK CONTROL; FEEDBACK CONTROLLERS; LINEAR REPETITIVE PROCESSES;

UNCERTAIN SYSTEMS;

EID: 40949157074     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2007.10.005     Document Type: Article

References (26)

1. ∞ control and Filtering of Two-dimensional Systems. Lecture Notes in Control and Information Sciences vol. 278 (2002), Springer-Verlag, Berlin, Germany
2. Gahinet P., Nemirowski A., Laub A.J., and Chilali M. LMI Control Toolbox for Use with MATLAB. The Mathworks Partner Series (1995), The MathWorks Inc.
3. Galkowski K., Paszke W., Rogers E., Xu S., Lam J., and Owens D.H. Stability and control of differential linear repetitive processes using an LMI setting. IEEE Transactions on Circuits and Systems II 50 9 (2003) 662-666
4. ∞ performance analysis for continuous-time stochastic systems with polytopic uncertainties. Circuits, Systems and Signal Processing 24 4 (2005) 415-429
5. ∞ model reduction for uncertain two-dimensional discrete systems. Optimal Control Applications & Methods 26 4 (2005) 199-227
6. Gao H., Lam J., and Wang C. Model simplification for switched hybrid systems. Systems & Control Letters 55 12 (2006) 1015-1021
7. Gao H., Lam J., and Wang C. Robust energy-to-peak filter design for stochastic time-delay systems. Systems & Control Letters 55 2 (2006) 101-111
8. ∞ control problem for linear systems. IEE Proceedings Part D: Control Theory and Applications 152 2 (2005) 171-176
9. ∞ filter design for systems with polytope-bounded uncertainty. IEEE Transactions on Signal Processing 54 9 (2006) 3620-3626
10. Kanev S., Scherer C., Verhaegen M., and De Schutter B. Robust output-feedback controller design via local BMI optimization. Automatica 40 7 (2004) 1115-1127
11. ∞ control theory. IEEE Transactions on Automatic Control 35 3 (1990) 356-361
12. Lu W.S., and Antoniou A. Two-Dimensional Digital Filters (1992), Marcel Dekker, New York
13. Palhares R.M., and Peres P.L.D. Robust filtering with guaranteed energy-to-peak performance: An LMI approach. Automatica 36 6 (2000) 851-858
14. Paszke W., Galkowski K., Rogers E., and Owens D.H. Guaranteed cost control of uncertain differential linear repetitive processes. IEEE Transactions on Circuits and Systems II 51 11 (2004) 629-634
15. ∞ control of differential linear repetitive processes. IEEE Transactions on Circuits and Systems I 53 1 (2006) 39-44
16. ∞ and guaranteed cost control of discrete linear repetitive processes. Linear Algebra and its Application 412 2-3 (2006) 93-131
17. Rogers E., and Owens D.H. Stability Analysis for Linear Repetitive Processes. Lecture Notes in Control and Information Sciences vol. 175 (1992), Springer-Verlag, Berlin, Germany
18. ∞ Control. In: Isidori A. (Ed). Trends in Control, A European Perspective (1995), Springer-Verlag, Berlin, Germany
19. ∞ state feedback control of discrete time-delay linear systems with norm-bounded uncertainty. International Journal of Systems Science 31 4 (2000) 409-415
20. ∞ output feedback control of fuzzy system models under sampled measurements. Computers & Mathematics with Applications 46 5-6 (2003) 705-717
21. ∞ gain control of linear parameter-varying systems with parameter-varying delays. IEE Proceedings Part D: Control Theory and Applications 150 5 (2003) 509-517
22. ∞ filtering for stochastic time-delay systems with missing measurements. IEEE Transactions on Signal Processing 54 7 (2006) 2579-2587
23. ∞ control with D-stability and variance constraints: A parameterization approach. Journal of Dynamical and Control Systems 11 2 (2005) 263-280
24. ∞ and robust control of 2-D systems in FM second model. Multidimensional Systems and Signal Processing 13 (2002) 256-287
25. ∞ control for a class of nonlinear stochastic systems. IEE Proceedings - Control Theory and Applications 153 2 (2006) 175-184
26. ∞ model reduction of Markovian jump linear systems. Systems & Control Letters 50 2 (2003) 103-118