Stabilization of networked multi-input systems with channel resource allocation

IEEE Transactions on Automatic Control

Volumn 58, Issue 3, 2013, Pages 554-568

  Qiu, Li ^a   Gu, Guoxiang ^b   Chen, Wei ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Channel resource allocation; Mahler measure; networked control system; networked stabilization; topological entropy

Indexed keywords

ADDITIVE WHITE GAUSSIAN NOISE CHANNEL; CHANNEL RESOURCE ALLOCATIONS; CO-DESIGNS; CONTROLLER DESIGNS; FEEDBACK CONTROLLER; INPUT CHANNELS; LINEAR TIME-INVARIANT; MAHLER MEASURE; MULTI-INPUT SYSTEM; MULTIINPUT; MULTIPLICATIVE UNCERTAINTY; NONCONVEX OPTIMIZATION PROBLEM; NORM-BOUNDED UNCERTAINTY; OPEN LOOP SYSTEMS; OPTIMAL CONTROL PROBLEM; OVERALL PROCESS; RELATIVE UNCERTAINTY; STATE-FEEDBACK STABILIZATION; TOPOLOGICAL ENTROPY; TRANSMISSION SYSTEMS;

CHANNEL CAPACITY; DECODING; DEGREES OF FREEDOM (MECHANICS); DESIGN; NETWORKED CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; RESOURCE ALLOCATION; STATE FEEDBACK; TOPOLOGY;

STABILIZATION;

EID: 84874594989     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2218065     Document Type: Article

References (48)

1. "Special issue on networked control systems," IEEE Trans. Automat. Contr., vol. 49, no. 9, Sep. 2004.
2. "Special issue on technology of networked control systems," Proc. IEEE, vol. 95, no. 1, Jan. 2007.
3. J. Baillieul, "Feedback coding for information based control:Operating near the data rate limit," in Proc. 41st IEEE Conf. Decision Contr., Las Vegas, NV, 2002, pp. 3229-3236.
4. J.A. Ball, I.Gohberg, and L. Rodman, Interpolation of RationalMatrix Functions. Basel, Germany: Birkhäuser, 1990.
5. T. Baar and P. Bernhard, Optimal Control and Related Minimax Design Problems: A Dynamic Gain Approach. Boston, MA: Birkhäuser, 1991.
6. R. Bowen, "Entropy for group endomorphisms and homogeneous space," Trans. Amer. Math. Soc., vol. 153, pp. 401-414, Jan. 1971.
7. J. H. Braslavsky, R. H. Middleton, and J. S. Freudenberg, "Feedback stabilization over signal-to-noise ratio constrained channels," IEEE Trans. Automat. Contr., vol. 52, no. 8, pp. 1391-1403, Aug. 2007. (Pubitemid 47316687)
8. W. Chen and L. Qiu, "Stabilization of networked control systems with multirate sampling," Automatica, 2012, provisionally accepted.
9. W. Chen, L. Qiu, and G. Gu, "Stabilization of networked multi-input systems over AWGN channels with channel resource allocation," in Proc. 9th IEEE Int. Conf. Contr. & Automat., 2011, pp. 680-685.
10. T. M. Cover and J. A. Thomas, Elements of Information Theory. Hoboken: Wiley, 1991.
11. B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, 2nd ed. Cambridge: Cambridge Univ. Press, 2002.
12. J. A. De Doná, G. C. Goodwin, and S. O. R.Moheimani, "Combining switching, over-saturation and scaling to optimise control performance in the presence ofmodel uncertainty and input saturation," Automatica, vol. 38, pp. 1153-1162, 2002. (Pubitemid 34524672)
13. N. Elia, "Remote stabilization over fading channels," Syst. Contr. Lett., vol. 54, pp. 237-249, 2005. (Pubitemid 40183505)
14. N. Elia and S. K. Mitter, "Stabilization of linear systems with limited information," IEEE Trans. Automat. Contr., vol. 46, no. 9, pp. 1384-1400, Sep. 2001. (Pubitemid 32981642)
15. J. S. Freudenberg, R.H.Middleton, and J. H. Braslavsky, "Stabilization with disturbance attenuation over a Gaussian channel," in Proc. 46st IEEE Conf. Decis. Contr., New Orleans, LA, 2007, pp. 3958-3963. (Pubitemid 351277766)
16. J. S. Freudenberg, R. H. Middleton, and J. H. Braslavsky, "Minimum variance control over a Gaussian communication channel," IEEE Trans. Automat. Contr., vol. 56, no. 11, pp. 1751-1765, Aug. 2011.
17. J. S. Freudenberg, R. H. Middleton, and V. Solo, "Stabilization and disturbance attenuation over a Gaussian communication channel," IEEE Trans. Automat. Contr., vol. 55, no. 3, pp. 795-799, Mar. 2010.
18. M. Fu and L. Xie, "The sector bound approach to quantized feedback control," IEEE Trans. Automat. Contr., vol. 50, no. 11, pp. 1698-1711, Nov. 2005. (Pubitemid 41748866)
19. H. Gao and T. Chen, "A new approach to quantized feedback control systems," Automatica, vol. 44, pp. 534-542, 2008.
20. G. C. Goodwin, D. E. Quevedo, and E. I. Silva, "An introduction to networked control systems," in Proc. 6th Asian Contr. Conf., Bali, Indonesia, 2006, pp. 50-74.
21. G. C. Goodwin, E. I. Silva, and D. E. Quevedo, "Analysis and design of networked control systems using the additive noise model methodology," Asian J. Contr., vol. 12, pp. 443-459, Jul. 2010.
22. M. Green and D. J. L. Limebeer, Linear Robust Control. NewYork: Prentice-Hall, 1995.
23. G. Gu and L. Qiu, "Networked stabilization of multi-input systems with channel resource allocation," in Reprints 17th IFACWorld Congr., Seoul, Korea, 2008.
24. G. Gu and L. Qiu, "Robust stabilization of multiplicative/relative uncertain systems and networked feedback control," in Proc. 7th IEEE Int. Conf. on Contr. & Automat., Christchurch, New Zealand, 2009, pp. 69-74.
25. H. Haimovich and M. M. Seron, "On infimum quantization density for multiple-input systems," in Proc. 44st IEEE Conf. Decis. Contr., Seville, Spain, 2005, pp. 7692-7697.
26. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge: Cambridge Univ. Press, 1985.
27. C. Y. Kao and S. R. Venkatesh, "Stabilization of linear systems with limited information-multiple input case," in Proc. 2002 Amer. Contr. Conf., Anchorage, AK, 2002, pp. 2406-2411.
28. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems. New York: Wiley, 1972.
29. Y.Li, E. Tuncel, J. Chen, andW. Su, "Optimal tracking performance of discrete-time systems over an additive white noise channel," in Proc. 48st IEEE Conf. Decis. Contr., Shanghai, China, 2009, pp. 2070-2075.
30. K. Mahler, "An application of Jensen's formula to polynomials," Mathematika, vol. 7, pp. 98-100, Dec. 1960.
31. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Automat. Contr., vol. 50, no. 2, pp. 169-182, Feb. 2005. (Pubitemid 40319348)
32. G. N. Nair and R. J. Evans, "Exponential stabilizability of finite-dimensional linear systems with limited data rates," Automatica, vol. 39, pp. 585-593, 2003.
33. G. N. Nair, F. Fagnani, S. Sampieri, and R. J. Evans, "Feedback control under data rate constraints: An overview," Proc. IEEE, vol. 95, pp. 108-137, Jan. 2007.
34. J. Nilsson, B. Bernhardsson, and B. Wittenmark, "Stochastic analysis and control of real-time systems with random time delays," Automatica, vol. 34, pp. 57-64, 1998. (Pubitemid 128387949)
35. P. Ogren, E. Fiorelli, and N. E. Leonard, "Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment," IEEE Trans. Automat. Contr., vol. 49, pp. 1292-1302, Aug. 2004.
36. A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, 2nd ed. New York: Prentice Hall, 1997.
37. L. Qiu, "Quantify the unstable," in Proc. 19th Int. Symp. Mathemat. Theory Netw. Syst., Budapest, Hungary, 2010, pp. 981-986.
38. A. Sahai and S. Mitter, "The necessity and sufficiency of anytime capacity for stabilization of a linear system over a noisy communication link-Part I: Scalar systems," IEEE Trans. Inf. Theory, vol. 52, pp. 3369-3395, Aug. 2006. (Pubitemid 44145106)
39. A. V. Savkin, "Analysis and synthesis of networked control systems: Topological entropy, observability, robustness and optimal control," Automatica, vol. 42, pp. 51-62, 2006. (Pubitemid 41660561)
40. P. Seiler and R. Sengupta, "Analysis of communication losses in vehicle control problems," in Proc. 2001 Amer. Contr. Conf., Arlington, VA, 2001, vol. 2, pp. 1491-1496. (Pubitemid 32837700)
41. J. S. Shamma, "Robust stability with time-varying structured uncertainty," IEEE Trans. Automat. Contr., vol. 39, pp. 714-724, Apr. 1994.
42. Z. Shu and R. H.Middleton, "Stabilization over power-constrained parallel Gaussian channels," IEEE Trans. Automat. Contr., vol. 56, no. 7, pp. 1718-1724, Jul. 2011.
43. B. Sinopoli, L. Schenato,M. Franceschetti, K. Poolla, M. I. Jordan, and S. S. Sastry, "Kalman filtering with intermittent observations," IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1453-1464, Sep. 2004.
44. K. Tsumura, H. Ishii, and H. Hoshina, "Tradeoffs between quantization and packet loss in networked control of linear systems," Automatica, vol. 45, pp. 2963-2970, 2009.
45. W. M. Wonham, "On pole assignment in multi-input controllable linear systems," IEEE Trans. Automat. Contr., vol. AC-12, no. 12, pp. 660-665, Dec. 1967.
46. N. Xiao, L. Xie, and L. Qiu, "Feedback stabilization of discrete-time networked systems over fading channels," IEEE Trans. Automat. Contr., vol. 57, pp. 2176-2189, Sep. 2012.
47. W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked control systems," IEEE Contr. Syst. Mag., vol. 21, no. 2, pp. 84-99, Feb. 2001. (Pubitemid 32869524)
48. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. New York: Prentice-Hall, 1996.