Data Transmission Over Networks for Estimation and Control (original) (raw)
Abstract
We consider the problem of controlling a linear time invariant process when the controller is located at a location remote from where the sensor measurements are being generated. The communication from the sensor to the estimator is supported by a communication network with arbitrary topology composed of channels that stochastically drop packets. Using a separation principle, we prove that the optimal LQG controller consists of an LQ optimal regulator along with an estimator that estimates the state of the process across the communication network mentioned above.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.
References (31)
- P. Antsaklis and J. Baillieul, "Special issue on networked control systems," IEEE Transactions on Automatic Control, vol. 49, no. 9, 2004.
- B. Azimi-Sadjadi, "Stability of networked control systems in the presence of packet losses," in Proceedings of 2003 IEEE Conference on Decision and Control, Dec 2003.
- L. Bushnell, "Special issue on networks and control," IEEE Control Systems Magazine, vol. 21, no. 1, February 2001.
- W. J. Cook, W. H. Cunningham, W. R. Pulleyblank, and A. Schrijver, Combinatorial Optimization. John Wiley and Sons, New York, 1998.
- T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, Introduction to Algorithms. MIT Press and McGraw-Hill, 1990.
- K. Dohmen, "Inclusion-exclusion and network reliability," The Electronic Journal of Combinatorics, vol. 5, no. 1, p. Research paper 36, 1998.
- D. Georgiev and D. M. Tilbury, "Packet-based Control: The H 2 -optimal Solution", Automatica, 42(1), January 2006, pp. 137-144.
- S. Graham, G. Baliga and P. R. Kumar, "Issues in the convergence of control with communication and computing: Proliferation, architecture, design, services, and middleware", Proceedings of the 43rd IEEE Conference on Decision and Control, Bahamas, 2004, pp. 1466-1471.
- V. Gupta, S. Adalakha and B. Sinopoli, "Towards Receding Horizon Networked Control", Automatica, Submitted. See also V. Gupta, S. Adalakha and B. Sinopoli, "Towards Receding Horizon Networked Control", Allerton conference on communication, control and computing, 2006.
- V. Gupta, T. H. Chung, B. Hassibi, and R. M. Murray, "On a stochastic sensor selection algorithm with applications in sensor scheduling and sensor coverage," Automatica, vol. 42, no. 2, pp. 251-260, February 2006.
- V. Gupta, D. Spanos, B. Hassibi, and R. M. Murray, "Optimal LQG control across a packet-dropping link," Systems and Controls Letters, 2006, accepted. See also, V. Gupta, D. Spanos, B. Hassibi, and R. M. Murray, "Optimal LQG control across a packet-dropping link," Proc. of the American Control Conference (ACC), 2006.
- C. N. Hadjicostis and R. Touri, "Feedback control utilizing packet dropping network links," in Proc. of the IEEE Conference on Decision and Control, 2002.
- B. Hassibi, A. H. Sayed, and T. Kailath, Indefinite-Quadratic Estimation and Control. Studies in Applied and Numerical Mathematics, 1999.
- J. P. Hespanha, P. Naghshtabrizi and Y. Xu, "Networked Control Systems: Analysis and Design," To appear in the Proc. of IEEE, Special Issue on Networked Control Systems, 2007.
- O.C. Imer, S. Yuksel and T. Basar, "Optimal Control of LTI Systems over Communication Networks", Automatica, 42(9):1429-1440, September 2006.
- T. Kailath, A. H. Sayed, and B. Hassibi, Linear Estimation. Prentice Hall, 2000.
- P. A. Kawka and A. G. Alleyne, "Stability and performance of packet-based feedback control over a Markov channel", Proceedings of the American Control Conference, 2006, pp. 2807-2812.
- F.L. Lian, J.R. Moyne and D.M. Tilbury, "Performance evaluation of control networks", IEEE Control Systems Magazine 21 (2001) (1), pp. 6683.
- Q. Ling and M. D. Lemmon, "Power spectral analysis of netwroked control systems with data droputs," IEEE Transactions on Automatic control, vol. 49, no. 6, pp. 955-960, June 2004.
- M. Mohri, "Semiring frameworks and algorithms for shortest-distance problems," Journal of Automata, Languages and Combinatorics, pp. 321-350, 2002.
- L. A. Montestruque and P. Antsaklis, "On the Model-based Control of Networked Systems", Automatica, 39(10), October 2003, pp. 1837-1843.
- P. Naghshtabrizi and J. Hespanha, "Anticipative and Non-anticipative Controller Design for Network Control Systems", In Panos J. Antsaklis, Paulo Tabuada, Networked Embedded Sensing and Control, volume 331 of Lect. Notes in Contr. and Inform. Sci., pages 203218, 2006.
- J. Nilsson, "Real-time control systems with delays," Ph.D. dissertation, Department of Automatic Control, Lund Institute of Technology, 1998.
- C. Robinson and P. R. Kumar, "Control over networks of unreliable links: Location of controllers, control laws and bounds on performance," in 45th IEEE Conference on Decision and Control, 2006, submitted.
- L. Schenato, B. Sinopoli, M. Franceschetti, K. Poolla and S. S. Sastry, "Foundations of Control and Estimation over Lossy Networks", Proc. of the IEEE, To Appear 2006.
- P. J. Seiler, "Coordinated control of unmanned aerial vehicles," Ph.D. dissertation, University of California, Berkeley, 2002.
- B. Sinopoli, L. Schenato, M. Franceschetti, K. Poolla, M. Jordan, and S. Sastry, "Kalman filtering with intermittent observations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1453-1464, Sep 2004.
- S.C. Smith and P. Seiler, Estimation with lossy measuraments: jump estimators for jump systems. IEEE Transaction on Automatic Control, 48(12):1453-1464, 2003.
- S. Tatikonda, "Some scaling properties of large scale distributed control systems," in Proceedings of the 42nd IEEE Conference on Decision and Control, vol. 3, 2003, pp. 3142-3147.
- Y. Xu and J. P. Hespanha, "Optimal Communication Logics for Networked Control Systems," In Proceedings of the 43rd IEEE Conference on Decision and Control, 2004.
- W. Zhang, M. S. Branicky, and S. M. Philips, "Stability of networked control systems," IEEE Control System Magazine, vol. 21, no. 1, pp. 84-89, Feb 2001.