Robust Control of Uncertain Linear Plants in Conditions of Signal Quantization and Time-delay

Alexey Margun, Igor Furtat

Abstract

The paper is aimed to the robust control of parametric uncertain linear plants in conditions of signal quantization with time delay and bounded external perturbations. State vector of control plant is unmeasured. Output of control plant is measured only via quantizer with transport delay. Control algorithm is based on consecutive compensator method. Proposed algorithm provides convergence of tracking error to the reference signal with prespecified accuracy for bounded time delay in quantizer. Limitations on value of delay providing stability of closed-loop system are obtained.

References

  1. Bobtsov, A. (2008). Output control algorithm with the compensation of biased harmonic disturbances. In Automation and Remote Control. V. 69. Issue 8. P. 1289- 1296.
  2. Brockett, R. and Liberzon, D. (2000). Quantized feedback stabilization of linear systems. In IEEE Trans. on Automatic Control. V. 45. P. 1279-1289.
  3. Delchamps, D. (1989). Extracting state information from a quantized output record. In System Control Letters. V. 13. P. 365-372.
  4. Furtat, I., Fradkov, A., and Liberzon, D. (2015). Compensation of disturbances for mimo systems with quantized output. In Automatica. Vol. 60. P. 239244.
  5. Gray, R. and Neuhoff, D. (1988). Quantization. In IEEE Transaction on Information Theory. V. 44. P. 2325- 2383.
  6. Liberzon, D. (2003). Hybrid feedback stabilization of systems with quantized signals. In Automatica. V. 39. P. 1543-1554.
  7. Mahmoud, M., Al-Rayyah, A., and Xia, Y. (2011). Quantized feedback stabilization of interconnected continuous time-delay systems. In IMA Journal of Mathematical Control and Information. V.2. P. 1-17.
  8. Margun, A. and Furtat, I. (2015a). Robust control of linear mimo systems in conditions of parametric uncertainties, external disturbances and signal quantization. In Proc. of the 20th International Conference on Methods and Models in Automation and Robotics. P. 341- 346.
  9. Margun, A. and Furtat, I. (2015b). Robust control of uncertain linear systems in conditions of output quantization. In 1st Conference on Modelling, Identification and Control of Nonlinear Systems (MICNON-2015). P. 853-857.
  10. Shannon, C. (1949). Communication in the presence of noise communication in the presence of noise. In Proc. Institute of Radio Engineers. V. 37. No. 1. P. 10-21.
  11. Sharon, Y. and Liberzon, D. (2013). Input to state stabilizating controller for systems with coarse quantization. In IEEE Trans. on Automatic Control. V. 57. No. 4. P. 830-844.
  12. Tsykunov, A. (2014). Robust control with compensation of bounded perturbations and noise. In International Journal of Computer and Systems Sciences. V. 53. No. 3. P. 320-326.
  13. Wang, J.-H. and Xue, A.-K. (2010). Output feedback control for time-delay system with quantized measurement. In Journal of Zhejiang University (Engineering Science). V. 44. P. 1418-1422.
  14. Widrow, B. (1961). Statistical analysis of amplitudequantized sampled-data systems. In Transaction on AIEE. V. 79. No. 2. P. 555-567.
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Paper Citation


in Harvard Style

Margun A. and Furtat I. (2016). Robust Control of Uncertain Linear Plants in Conditions of Signal Quantization and Time-delay . In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 514-520. DOI: 10.5220/0005981405140520


in Bibtex Style

@conference{icinco16,
author={Alexey Margun and Igor Furtat},
title={Robust Control of Uncertain Linear Plants in Conditions of Signal Quantization and Time-delay},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={514-520},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005981405140520},
isbn={978-989-758-198-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Robust Control of Uncertain Linear Plants in Conditions of Signal Quantization and Time-delay
SN - 978-989-758-198-4
AU - Margun A.
AU - Furtat I.
PY - 2016
SP - 514
EP - 520
DO - 10.5220/0005981405140520