Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Global Regulation of a Class of Nonlinear Systems with Time-varying Delays in the Input and States with Matrix Inequality and Non-predictor Methods

행렬 부등식과 비예측 기법을 이용한 입력과 상태에 시변지연이 있는 비선형 시스템의 전역 안정화

  • Koo, Min-Sung (Department of Fire Protection Engineering, Pukyoung National University) ;
  • Choi, Ho-Lim (Department of Electrical Engineering, Dong-A University)
  • Received : 2016.04.19
  • Accepted : 2016.05.17
  • Published : 2016.07.01
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Abstract

We deal with the regulation problem of nonlinear systems with time-varying delays in both the states and input. A new state feedback controller with dynamic gains is developed based on matrix inequality and non-predictor methods. The proposed control scheme is analyzed using the Razumikhin theorem, and its effectiveness is demonstrated with simulation results.

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References

  1. H.-L. Choi and J.-T. Lim, "Improved controller design on robust approximate feedback linearization via lmi approach," IEICE Tran. Fundamentals, vol. E88-A, no. 7, pp. 2023-2025, 2005. https://doi.org/10.1093/ietfec/e88-a.7.2023
  2. H.-L. Choi and J.-T. Lim, "Global asymptotic of a class of nonlinear time-delay systems by output feedback," IEICE Tran. Fundamentals, vol. E88-A, no. 12, 2005.
  3. H.-L. Choi and J.-T. Lim, "Stabilization of a chain of integrators with an unknown delay in the input by adaptive output feedback," IEEE Transactions on Automatic Control, vol. 51, no. 8, pp. 1359-1363, Aug. 2006. https://doi.org/10.1109/TAC.2006.878742
  4. A. Germani and C. Manes, "On the existence of the linearizing state feedback for nonlinear delay systems," Proc. of the 40th IEEE conference on Decision and Control, pp. 4628-4629, Orlando, USA, 2001.
  5. J. K. Hale and S. M. Verduyn Lunel, Introduction to Funcitonal Differential Equations, Springer-Verlag, New York, Inc., 1993.
  6. M. Jankovic, "Control of nonlinear systems with time delay," Proc. of the 42th IEEE conference on Decision and Control, pp. 4545-4550, Hawaii, USA, 2003.
  7. H.-W. Jo, H.-L. Choi, and J.-T. Lim, "Observer based output feedback regulation of a class of feedforward nonlinear systems with uncertain input and state delays using adaptive gain," Systems and Control Letters, vol. 71, pp. 44-53, 2014. https://doi.org/10.1016/j.sysconle.2014.06.005
  8. M.-S. Koo, H.-L. Choi, and J.-T. Lim, "Global asymptotic stabiliation of a chain of integrators with a time-varying delay in the input by output feedback," International Conference on Control, Automation and Systems, COEX, Seoul, Korea, pp. 2902-2905, 2007.
  9. M.-S. Koo, H.-L. Choi, and J.-T. Lim, "Global regulation of a class of feedforward and non-feedforward nonlinear systems with a delay in the input," Automatica, vol. 48, no. 10, pp. 26072613, 2012.
  10. M.-S. Koo and H.-L. Choi, "Measurement feedback control of a class of nonlinear systems via matrix inequality approach," Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 6, pp. 631-634, 2014. https://doi.org/10.5302/J.ICROS.2014.14.0031
  11. M.-S. Koo and H.-L. Choi, "Output Feedback control of a class of nonlinear systems with sensor noise via matrix inequality approach," Institute of Control, Robotics and Systems (in Korean), vol. 21, no. 8, pp. 748-752, 2015. https://doi.org/10.5302/J.ICROS.2015.15.0048
  12. Z. Liang and Q. Liu, "Design of stabilizing controllers of upper triangular nonlinear time-delay systems," Systems and Control Letters, vol. 75, pp. 1-7, 2015. https://doi.org/10.1016/j.sysconle.2014.10.011
  13. B. Zhou, "Pseudo-predictor feedback stabilization of linear systems with time-varying input delays," Automatica, vol. 50, no. 11, pp. 2861-2871, 2014. https://doi.org/10.1016/j.automatica.2014.08.036
  14. B. Zhou and J. Lin, "Truncated predictor feedback stabilization of polynomially unstable linear systems with multiple timevarying input delays," IEEE Transactions on Automatic Control, vol. 59, no. 8, pp. 2157-2163, 2014. https://doi.org/10.1109/TAC.2013.2297188