Stabilization of Linear Systems via Infinite-Level Logarithmic Quantization

Chapter
Part of the Communications and Control Engineering book series (CCE)

Abstract

This chapter studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless).

References

  1. 1.
    N. Elia, S. Mitter, Stabilization of linear systems with limited information. IEEE Trans. Autom. Control 46(9), 1384–1400 (2001)CrossRefMathSciNetMATHGoogle Scholar
  2. 2.
    A. Packard, J. Doyle, Quadratic stability with real and complex perturbations. IEEE Trans. Autom. Control 35(2), 198–201 (1990)CrossRefMathSciNetMATHGoogle Scholar
  3. 3.
    C. de Souza, M. Fu, L. Xie, \({H}_{\infty }\) analysis and synthesis of discrete-time systems with time-varying uncertainty. IEEE Trans. Autom. Control 38(3), 459–462 (1993)CrossRefMATHGoogle Scholar
  4. 4.
    L. Xie, Y. Soh, Guaranteed cost control of uncertain discrete-time systems. Control Theory Adv. Technol. 10(4), 1235–1251 (1995)MathSciNetGoogle Scholar
  5. 5.
    C. de Souza, L. Xie, On the discrete-time bounded real lemma with application in the characterization of static state feedback \(h_{\infty }\) controller. Syst. Control Lett. 18(1), 61–71 (1992)CrossRefMATHGoogle Scholar
  6. 6.
    N. Elia, Design of hybrid systems with guaranteed performance, in Proceedings of the 39th IEEE Conference on Decision and Control, vol. 1 (2000)Google Scholar
  7. 7.
    M. Fu, L. Xie, The sector bound approach to quantized feedback control. IEEE Trans. Autom. Control 50(11), 1698–1711 (2005)CrossRefMathSciNetGoogle Scholar
  8. 8.
    M. Fu, L. Xie, Finite-level quantized feedback control for linear systems. IEEE Trans. Autom. Control 54(5), 1165–1170 (2009)Google Scholar

Copyright information

© Springer-Verlag London 2015

Authors and Affiliations

  1. 1.Department of AutomationTsinghua UniversityBeijingChina
  2. 2.Future Urban Mobility Interdisciplinary Research GroupSingapore-MIT Alliance for Research and Technology CentreSingaporeSingapore
  3. 3.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingaporeSingapore

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