Mixed frequency small gain state feedback control with application to insulin pumps

International Journal of Control, Automation and Systems

Volumn 7, Issue 2, 2009, Pages 319-324

  Zhang, Xiao Ni ^a,b   Yang, Guang Hong ^a,b  

^a NORTHEASTERN UNIVERSITY   (China)

^b KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

Finite frequency; Linear matrix inequality (LMI); Mixed frequency; Small gain

Indexed keywords

FINITE FREQUENCY; FREQUENCY RANGES; INSULIN PUMPS; LINEAR CONTINUOUS-TIME SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIX INEQUALITY APPROACHES; MIXED FREQUENCY; SMALL GAIN; STATE FEEDBACK CONTROLLERS; STATE-FEEDBACK CONTROLS;

CONTINUOUS TIME SYSTEMS; FEEDBACK; FEEDBACK CONTROL; FUZZY CONTROL; INSULIN; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NONLINEAR CONTROL SYSTEMS; PUMPS; UNCERTAIN SYSTEMS;

STATE FEEDBACK;

EID: 64849116820     PISSN: 15986446     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12555-009-0219-3     Document Type: Article

References (12)

1. T. Iwasaki and S. Hara, "Robust control synthesis with general frequency domain specifications: static gain feedback case," Proc. of American Control Conference, pp. 4613-4618, 2004.
2. T. Iwasaki and S. Hara, "Dynamic output feedback synthesis with general frequency domain specifications," Proc. of the 16th IFAC World Congress, 2005.
3. T. Iwasaki and S. Hara, "Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma," Int. J. Robust Nonlinear Control, vol. 17, no. 5-6, pp. 415-434, 2007.
4. R. Costa-Castello, D. W. Wang, and R. Grino, "A new passive repetitive controller for discrete-time finite-frequency positive-real systems," Proc. of the 45th Conf. Decision and Control, pp. 4429-4434, 2006.
5. M. R. Graham, M. C. de Oliveira, and R. A. de Callafon, "A linear matrix inequality for robust stability analysis with frequency-dependent multipliers," Proc. of the 45th Conf. Decision and Control, pp. 5144-5149, 2006.
6. C. Scherer, P. Gahinet, and M. Chilali, "Multiobjective output-feedback control via LMI optimization," IEEE Trans, on Automatic Control, vol. 42, no. 7, pp. 896-911,1997.
7. K. H. Kienitz and T. Yoneyama, "A robust controller for insulin pumps based on H-infinity theory," IEEE Trans. Biomedical Engineering, vol. 40, no. 11, pp. 1133-1137, 1993.
8. P. Gahinet and P. Apkarian, "A linear matrix inequality approach to Hcc control," Int. J. Robust and Nonlinear Contr., vol. 4, pp. 421-448, 1994.
9. M. Chilali and P. Gahinet, "H∞ design with pole placement constraints: an LMI approach," IEEE Trans, on Automatic Control, vol. 41, pp. 358-367, 1996.
10. D. Shen and J. B. Cruz, "An improved game theory based approach to one type of H-infinity optimal control problems," Proc. of American Control Conference, pp. 1695-1699, 2006.
11. J. S. Hwang, H. Kim, and J. Kim, "Estimation of the modal mass of a structure with a tuned-mass damper using H-infinity optimal model reduction," Engineering Structure, vol. 28, pp. 34-42, 2006.
12. G. Barrault, D. Halim, and C. Hansen, "High frequency spatial vibration control using H∞ method," Mechanical Systems and Signal Processing, vol. 21, pp. 1541-1560, 2007.