Skip to main content
Log in

On the design of compensator for quantization-caused input-output deviation

  • Research Papers
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

This paper considers the design of compensators for systems with quantized inputs in order to reduce the influence of quantization. For systems with (vector) relative degrees, we propose a kind of compensators which can compensate for the accumulated output deviation completely caused by quantization. The proposed compensators are capable of keeping the differences of the input-output responses between the systems with quantized inputs and the original systems without considering quantization within certain small bounds. Simulations show that the compensators in this paper are robust with respect to model uncertainties, disturbance and measurement noise and can significantly improve the input-output responses of systems with both input quantization and packet dropouts.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Elia N, Mitter S K. Stabilization of linear systems with limited information. IEEE Trans Autom Control, 2001, 46: 1384–1400

    Article  MathSciNet  MATH  Google Scholar 

  2. Fu M, Xie L. The sector bound approach to quantized feedback Control. IEEE Trans Autom Control, 2005, 50: 1698–1711

    Article  MathSciNet  Google Scholar 

  3. Hiroto H, Koji T, Hideaki I. The coarest logarithmic quantizers for stabilization of linear systems with packet losses. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007. 2235–2240

  4. Tatikonda S, Mitter S. Control over noisy channels. IEEE Trans Autom Control, 2004, 49: 1196–1201

    Article  MathSciNet  Google Scholar 

  5. Liberzon D. Hybrid feedback stabilization of systems with quantized signals. Automatica, 2003, 39: 1543–1554

    Article  MathSciNet  MATH  Google Scholar 

  6. Linerzon D, Hespanha J P. Stabilization of nonlinear systems with limited Information feedback. IEEE Trans Autom Control, 2005, 50: 910–915

    Article  Google Scholar 

  7. Nair G N, Evans R J. Exponential stabilisability of finite-demensional linear systems with limited data rate. Automatica, 2003, 39: 585–593

    Article  MathSciNet  MATH  Google Scholar 

  8. Wong W S, Brockett R W. Systems with finite communication bandwidth constraints-Part I: State estimation problems. IEEE Transa Autom Control, 1997, 42: 1294–1299

    Article  MathSciNet  MATH  Google Scholar 

  9. Azuma S I, Sugie T. Optimal dynamic quantizers for discrete-valued input control. Automatica, 2008, 44: 396–406

    Article  MathSciNet  Google Scholar 

  10. Huijun G, Tongwen C. H Estimation for uncertain systems with limited communication capacity. IEEE Trans Autom Control, 2007, 52: 2070–2084

    Article  Google Scholar 

  11. Gao H, Chen T. A new approach to quantized feedback control systems. Automatica, 2008, 44: 534–542

    Article  MathSciNet  Google Scholar 

  12. Brockett R W, Liberzon D. Quantized feedback stabilization of linear Systems. IEEE Trans Autom Control, 2000, 45: 1279–1289

    Article  MathSciNet  MATH  Google Scholar 

  13. Fagnani F, Zampieri S. Stability analysis and synthesis for scalar linear systems with a quantized feedback. IEEE Trans Autom Control, 2003, 48: 1569–1584

    Article  MathSciNet  Google Scholar 

  14. Sviestins E, Wigren T. Optimal recursive state estimation with quantized measurements. IEEE Trans Autom Control, 2000, 45: 762–767

    Article  MathSciNet  MATH  Google Scholar 

  15. Ishii H, Francis B A. Quadratic stabilization of sampled-data systems with quantization. Automatica, 2003, 39: 1793–1800

    Article  MathSciNet  MATH  Google Scholar 

  16. Fagnani F, Zampieri S. Quantized stabilization of linear systems: complexity versus performance. IEEE Trans Autom Control, 2004, 49: 1534–1548

    Article  MathSciNet  Google Scholar 

  17. Qiang L, Lemmon M D. Stability of quantized control systems under dynamic bit assignment. IEEE Trans Autom Control, 2005, 50: 734–740

    Article  Google Scholar 

  18. Bullo F, Liberzon D. Quantized control via locational optimization. IEEE Trans Autom Control, 2006, 51: 2–13

    Article  MathSciNet  Google Scholar 

  19. Delvenne J C. An optimal quantized feedback strategy for scalar linear systems. IEEE Trans Autom Control, 2006, 51: 298–303

    Article  MathSciNet  Google Scholar 

  20. Picasso B, Bicchi A. On the stabilization of linear systems under assigned I/O quantization. IEEE Trans Autom Control, 2007, 52: 1994–2000

    Article  MathSciNet  Google Scholar 

  21. Liberzon D. Quantization, time delays, and nonlinear stabilization. IEEE Trans Autom Control, 2006, 51: 1190–1195

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to YuQian Guo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guo, Y., Gui, W. & Yang, C. On the design of compensator for quantization-caused input-output deviation. Sci. China Inf. Sci. 54, 824–835 (2011). https://doi.org/10.1007/s11432-010-4176-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-010-4176-5

Keywords

Navigation