Analysis and synthesis of state-feedback controllers with timing jitter

IEEE Transactions on Automatic Control

Volumn 54, Issue 3, 2009, Pages 652-657

  Skaf, Joëe ^a   Boyd, Stephen ^a  

^a Stanford University   (United States)

Author keywords

Linear matrix inequality (LMI); Timing jitter

Indexed keywords

CONTROL THEORY; DEGRADATION; DIFFERENTIAL EQUATIONS; FEEDBACK; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; TELECOMMUNICATION NETWORKS; TIME MEASUREMENT; UNCERTAIN SYSTEMS;

ANALYSIS AND SYNTHESIS; CONTINUOUS-TIME LINEAR SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); LOWER BOUNDS; NUMERICAL EXPERIMENTS; PERFORMANCE BOUNDS; PERFORMANCE DEGRADATIONS; PERFORMANCE MEASURES; STATE-FEEDBACK CONTROLLERS; STATE-FEEDBACK CONTROLS; UPPER BOUNDS;

TIMING JITTER;

EID: 63449088527     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.2010998     Document Type: Article

References (23)

1. C. V. Loan, "Nineteen dubious ways to compute the matrix exponential," SIAM Rev., vol. 20, no. 4, pp. 801-836, 1978.
2. G. Franklin, J. Powell, and M. Workman, Digital Control of Dynamic Systems. Reading, MA: Addison-Wesley, 1980.
3. P. Kabamba and S. Hara, "Worst-case analysis and design of sampled-data control systems," IEEE Trans. Automat. Control, vol. 388, no. 9, pp. 1337-1358, Sep. 1993.
4. R. Middleton and G. Goodwin, Digital Control and Estimation: A Unified Approach. Englewood Cliffs, NJ: Prentice-Hall, 1990.
5. B. Wittenmark, J. Nilsson, and M. Torngren, "Trilling problems in real-time control systems," in Proc. Amer. Control Conf., 1995, vol. 3, pp. 2000-2004.
6. R. Kalman, "Analysis and Synthesis of Linear Dynamical Systems Operating on Randomly Sampled Data," Ph.D. dissertation, Columbia University, New York, NY, 1957.
7. H. Kushner and L. Tobias, "On the stability of randomly sampled systems," IEEE Trans. Automat. Control, vol. AC-14, no. 4, pp. 319-324, Aug. 1969.
8. A. Balakrishnan, "On the problem of time jitter in sampling," IEEE Trans. Inform. Theory, vol. IT-8, no. 3, pp. 226-236, Apr. 1962.
9. B. Lincoln and A. Cervin, "JITTERBUG: A tool for analysis of realtime control performance," in Proc. 41st IEEE Conf. Decision Control, 2003, vol. 2, pp. 1319-1324.
10. B. Lincoln, "Jitter compensation in digital control systems," in Proc. American Control Conf., 2002, vol. 4, pp. 2985-2990.
11. P. Marti, J. Fuertes, and G. Fohler, "Minimising sampling jitter degradation in real-time control systems," in IV Jornadas de tiempo real, Zaragoza, Spain, Feb. 2001, [CD ROM].
12. J. Nilsson, B. Bernhardsson, and B. Wittenmark, "Some topics in real-time control," in Proc. Amer. Control Conf., 1998, vol. 4, pp. 2386-2390.
13. L. Hetel, J. Daafouz, and C. Iung, "Stabilization of arbitrary switched linear systems with unknown time-varying delays," IEEE Trans. Automat. Control, vol. 51, no. 10, pp. 1668-1674, Oct. 2006.
14. P. Marti Colom, "Analysis and Design of Real-Time Control Systems With Varying Control Timing Constraints," Ph.D. dissertation, Universitat Politechnica de Catalunya, Catalunya, Spain, June 2003.
15. L. Hetel, J. Daafouz, and C. Iung, "LMI control design for a class of exponential uncertain systems with application to network controlled switched systems," in Proc. Amer. Control Conf. (ACC'07), 2007, pp. 1401-1406.
16. L. Mirkin, "Some remarks on the use of time-varying delay to model sample-and-hold circuits," IEEE Trans. Automat. Control, vol. 52, no. 6, pp. 1109-1112, Jun. 2007.
17. P. Marti, J. Fuertes, G. Fohler, and K. Ramamritham, "Jitter compensation for real-time control systems," in Proc. Real-Time Syst. Symp., 2001, pp. 39-48.
18. L. Palopoli, C. Pinello, A. Sangiovani-Vincentelli, L. El Ghaoui, and A. Bicchi, "Synthesis of robust control systems under resource constraints," in Proc. Hybrid Syst.: Computat. Control (HSCC'02 , 2002, pp. 337-350.
19. A. Bhave and B. Krogh, "Performance bounds on state-feedback controllers with network delay," in Proc. IEEE Conf. Decision Control, 2008, pp. 4608-4613.
20. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory. Philadelphia, PA: SIAM books, 1994.
21. S. Boyd and C. Barratt, Linear Controller Design: Limits of Performance. Englewood Cliffs, NJ: Prentice-Hall, 1991.
22. G. Dullerud and F. Paganini, A Course in Robust Control Theory: A Convex Approach. New York: Springer-Verlag, 2000.
23. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge University Press, 2004.