On the minimum attention control problem for linear systems: A linear programming approach

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2011, Pages 4717-4722

  Donkers, M C F ^a   Tabuada, P ^b   Heemels, W P M H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

ATTENTION CONTROL; CONTROL LAWS; CONTROL LYAPUNOV FUNCTION; CONTROL TASK; FINITE NUMBER; LINEAR PLANTS; LINEAR PROGRAMS; PERFORMANCE REQUIREMENTS;

LINEAR PROGRAMMING;

EID: 84860665977     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2011.6161239     Document Type: Conference Paper

References (13)

1. M. Velasco, J. M. Fuertes, and P. Marti, "The self triggered task model for real-time control systems," in Proc. IEEE Real-Time Systems Symposium, 2003, pp. 67-70.
2. 2 stability," IEEE Trans. Autom. Control, vol. 45, pp. 452-467, 2009.
3. M. Mazo Jr., A. Anta, and P. Tabuada, "An ISS self-triggered implementation of linear controllers," Automatica, vol. 46, pp. 1310-1314, 2010.
4. R. W. Brockett, "Minimum attention control," in Proc. Conf. Decision & Control, 1997, pp. 2628-2632.
5. A. Anta and P. Tabuada, "On the minimum attention and anytime attention problems for nonlinear systems," in Proc. Conf. Decision & Control, 2010, pp. 3234-3239.
6. H. Kiendl, J. Adamy, and P. Stelzner, "Vector norms as Lyapunov function for linear systems," IEEE Trans. Autom. Control, vol. 37, no. 6, pp. 839-842, 1992.
7. A. Polański, "On infinity norms as Lyapunov functions for linear systems," IEEE Trans. Autom. Control, vol. 40, no. 7, pp. 1270-1274, 1995.
8. E. Sontag, "A Lyapunov-like characterization of asymptotic controllability," SIAM J. Control Optim., vol. 21, no. 3, pp. 462-471, 1983.
9. C. M. Kellett and A. R. Teel, "Discrete-time asymptotic controllability implies smooth control-lyapunov function," Syst. & Control Lett., vol. 51, pp. 349-359, 2004.
10. M. C. F. Donkers, "Networked and event-triggered control systems," Ph.D. dissertation, Eindhoven University of Technology, 2011.
11. M. C. F. Donkers, P. Tabuada, and W. P. M. H. Heemels, "On the minimum and anytime attention control problem for linear systems: A linear programming approach," Tech. Rep., 2011. [Online]. Available: http://arxiv.org/abs/1108.2783
12. G. Walsh and H. Ye, "Scheduling of networked control systems," IEEE Control Syst. Mag., vol. 21, no. 1, pp. 57-65, 2001.
13. M. Kvasnica, P. Grieder, and M. Baotić, "Multi-Parametric Toolbox (MPT)," 2004. [Online]. Available: http://control.ee.ethz.ch/~mpt/