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International Journal of Systems Science Volume 46, 2015 - Issue 12
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Original Articles

Dynamic quantised feedback stabilisation of discrete-time linear system with white noise input

Mingming JiDepartment of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai200240, People's Republic of ChinaView further author information
,
Xing HeDepartment of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai200240, People's Republic of ChinaView further author information
&
Weidong ZhangDepartment of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai200240, People's Republic of ChinaCorrespondence[email protected]
View further author information
Pages 2221-2230 | Received 27 May 2013, Accepted 23 Sep 2013, Published online: 14 Nov 2013

References

  • Brockett, R.W., & Liberzon, D. (2000). Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 45(7), 1279–1289.
  • Che, W.W., Wang, J.L., & Yang, G.H. (2010). Quantized H∞ filtering for networked systems with random sensor packet losses. IET Control Theory and Applications, 4(8), 1339–1352.
  • Corradini, M.L., & Orlando, G. (2008). Robust quantized feedback stabilization of linear systems. Automatica, 44(9), 2458–2462.
  • Coutinho, D.F., Fu, M.Y., & Souza, C.E.D. (2010). Input and output quantized feedback linear systems. IEEE Transactions on Automatic Control, 55(3), 761–766.
  • Elia, N., & Mitter, K. (2001). Stabilization of linear systems with limited information. IEEE Transactions on Automatic Control, 46(9), 1384–1400.
  • Fridman, E., & Dambrine, M. (2009). Control under quantization, saturation and delay: An LMI approach. Automatica, 45(10), 2258–2264.
  • Fu, M.Y., & Xie, L.H. (2005). The sector bound approach to quantized feedback control. IEEE Transactions on Automatic Control, 50(11), 1698–1711.
  • Gao, H.J., & Chen, T.W. (2008). A new approach to quantized feedback control system. Automatica, 44(2), 534–542.
  • He, X., Wang, Z.D., Ji, Y.D., & Zhou, D.H. (2013). State estimation for networked systems with randomly occurring quantizations. International Journal of Systems Science, 44(7), 1253–1263.
  • Kalman, R.E. (1956). Nonlinear aspects of sampled-data control systems. Proceedings of the Symposium on Nonlinear Circuit Theory, vol. VII, Brooklyn, NY.
  • Kameneva, T., & Nesic, D. (2010). Robustness of nonlinear control systems with quantized feedback. Nonlinear Analysis: Hybrid Systems, 4(4), 306–318.
  • Liberzon, D. (2003). Hybrid feedback stabilization of systems with quantized signals. Automatica, 39(9), 1543–1554.
  • Liberzon, D., & Nesic, D. (2007). Input-to-state stabilization of linear systems with quantized state measurements. IEEE Transactions on Automatic Control, 52(5), 767–781.
  • Liu, B., Xia, Y.Q., Shang, J.Z., & Fu, M.Y. (2011). Quantization over network based on Kalman filter. Proceedings of the 2011 Fourth International Symposium on Advanced Control of Industrial Processes, Hangzhou, China, May 23–26.
  • Peng, C., & Tian, Y.C. (2007). Networked H∞ control of linear systems with state quantization. Information Science, 177(24), 5763–5774.
  • Wu, Z.G., Shi, P., Su, H.Y., & Chu, J. (2012). Delay-dependent stability analysis for discrete-time singular markovian jump systems with time-varying delay. International Journal of Systems Science, 43(11), 2095–2106.
  • Xiong, J., & Lam, J. (2007). Stabilization of linear systems over networks with bounded packet loss. Automatica, 43(1), 80–87.
  • Yan, J., Xia, Y., Liu, B., & Fu, M. (2011). Stabilization of quantized linear systems with packet dropout. IET Control Theory and Applications, 5(8), 982–989.
  • Yang, F.W., Wang, Z.D., Hung, Y.S., & Gani, M. (2006). H∞ Control for networked systems with random communication delays. IEEE Transactions on Automatic Control, 51(3), 511–518.
  • Zhou, B., Duan, G.R., & Lams, J. (2010). On the absolute stability approach to quantized feedback control. Automatica, 46(2), 337–346.

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