Robust Finite Word Length controller design

Automatica

Volumn 45, Issue 12, 2009, Pages 2850-2856

  Wu, Jun ^a   Li, Gang ^b   Chen, Sheng ^c   Chu, Jian ^a  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Bilinear matrix inequality; Finite word length; Linear matrix inequality; Mixed theory; Robust control; Stability

Indexed keywords

BILINEAR MATRIX INEQUALITY; CONTROLLER DESIGNS; CONTROLLER PERFORMANCE; FINITE WORD LENGTH;

LINEAR MATRIX INEQUALITIES; ROBUST CONTROL;

CONTROLLERS;

EID: 70449687889     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.09.001     Document Type: Article

References (21)

1. Collins, E. G., & Zhao, Y. (2001). Optimal PID controller with finite word length implementation, In Proc. 2001 American Control Conference (Arlington, VA). (pp. 2173-2178)
2. D'Andrea R., and Istepanian R.S.H. Design of full state feedback finite-precision controllers. International Journal of Robust and Nonlinear Control 12 6 (2002) 537-553
3. Franklin G.F., Powell J.D., and Workman M.L. Digital control of dynamic systems (1998), Addison-Wesley, Boston, MA
4. Gevers M., and Li G. Parameterizations in control, estimation and filtering problems: Accuracy aspects (1993), Springer Verlag, London
5. In: Istepanian R.S.H., and Whidborne J.F. (Eds). Digital controller implementation and fragility: A modern perspective (2001), Springer Verlag, London
6. Iwasaki, T. A unified matrix inequality approach to linear control design, Ph.D. dissertation. Purdue University, West Lafayette, IN, Dec. 1993
7. Iwasaki T. The dual iteration for fixed-order control. IEEE Transactions on Automatic Control 44 4 (1999) 783-788
8. 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
9. Keel L.H., and Bhattacharyya S.P. Robust, fragile, or optimal?. IEEE Transactions on Automatic Control 42 8 (1997) 1098-1105
10. Mahmoud M.S. Resilient control of uncertain dynamical systems (2004), Springer Verlag, Berlin
11. Mahmoud M.S. New results on robust control design of discrete-time uncertain systems. IEE Proceedings on Control Theory and Applications 152 4 (2005) 453-459
12. Miller R.K., Mousa M.S., and Michel A.N. Quantization and overflow effects in digital implementations of linear dynamic controllers. IEEE Transactions on Automatic Control 33 7 (1988) 698-704
13. Norlander T., and Mäkilä P.M. Defragilization in optimal design and its application to fixed structure LQ controller design. IEEE Transactions on Control Systems Technology 9 4 (2001) 590-598
14. Park J.H. Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations. Applied Mathematics and Computation 149 1 (2004) 147-164
15. VanAntwerp J.G., and Braatz R.D. A tutorial on linear and bilinear matrix inequalities. Journal of Process Control 10 4 (2000) 363-385
16. Yang G., Wang J., and Soh Y.C. Guaranteed cost control for discrete-time linear systems under controller gain perturbations. Linear Algebra and its Applications 312 1-3 (2000) 161-180
17. Yang G., Wang J., and Soh Y.C. Robust non-fragile controller design for discrete time systems with FWL consideration. In: Istepanian R.S.H., and Whidborne J.F. (Eds). Digital controller implementation and fragility: A modern perspective (2001), Springer Verlag, London 213-228
18. Yee J.S., Yang G., and Wang J. Resilient guaranteed cost control to tolerate actuator faults for discrete-time uncertain linear systems. IEE Proceedings of Control Theory and Applications 147 3 (2000) 277-284
19. Yee J.S., Yang G., and Wang J. Non-fragile guaranteed cost control for discrete-time uncertain linear systems. International Journal of Systems Sciences 32 7 (2001) 845-853
20. Young, P. M. Robustness with parametric and dynamic uncertainty. Ph.D. thesis. California Institute of Technology. 1993
21. Zhou K., Doyle J.C., and Glover K. Robust and optimal control (1996), Prentice Hall, New Jersey