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Articles

Algorithms of adaptive disturbance compensation in linear systems with arbitrary input delay

, &
Pages 1596-1604 | Received 08 Dec 2017, Accepted 01 Sep 2018, Published online: 21 Sep 2018

References

  • Annaswamy J., Jang A., & Lavretsky E. (2008, August). Stability margins for adaptive controllers in the presence of time-delay. AIAA Guidance, Navigation, and Control Conference, AIAA 2008-6659.
  • Aranovskiy S., Bobtsov A., Ortega R., & Pyrkin A. (2017). Performance enhancement of parameter estimators via dynamic regressor extension and mixing. IEEE Transactions on Automatic Control, 62(7), 3546–3550. doi: 10.1109/TAC.2016.2614889
  • Basturk H. (2017). Cancellation of unmatched biased sinusoidal disturbances for unknown LTI systems in the presence of state delay. Automatica, 76, 169–176. doi: 10.1016/j.automatica.2016.10.006
  • Basturk H., & Krstic M. (2014). State derivative feedback for adaptive cancelation of unmatched disturbances in unknown strict-feedback LTI systems. Automatica, 50, 2539–2545. doi: 10.1016/j.automatica.2014.08.002
  • Basturk H., & Krstic M. (2015). Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay. Automatica, 58, 131–138. doi: 10.1016/j.automatica.2015.05.013
  • Bekiaris-Liberis N., Jankovic M., & Krstic M. (2013). Adaptive stabilization of LTI systems with distributed input delay. International Journal of Adaptive Control and Signal Processing, 27, 46–65. doi: 10.1002/acs.2337
  • Bobtsov A., & Pyrkin A. (2008). Compensation of harmonic disturbances with delayed control. Izvestiya Akademii Nauk Theory and Their Control Systems, (4), 19–23.
  • Bobtsov A., Pyrkin A., Nikiforov V. O., Kolyubin S. A., Vedyakov A. A., Borisov O. I., & Gromov V. S. (2015). Compensation of polyharmonic disturbance of state and output of a linear plant with delay in the control channel. Automation & Remote Control, 76(12), 2124–2142. doi: 10.1134/S0005117915120036
  • Bodson M., & Douglas S. C. (1997). Adaptive algorithms for the rejection of periodic disturbances with unknown frequencies. Automatica, 33, 2213–2221. doi: 10.1016/S0005-1098(97)00149-0
  • Bodson M., Jensen J., & Douglas S. C. (2001). Active noise control for periodic disturbances. IEEE Transactions on Control Systems Technology, 9(1), 200–205. doi: 10.1109/87.896760
  • Chen X., & Tomizuka M. (2012). A minimum parameter adaptive approach for rejecting multiple narrow-band disturbances with application to hard disk drives. IEEE Transactions on Control Systems Technology, 20(2), 408–415. doi: 10.1109/TCST.2011.2178025
  • Esbrook A., Tan X., & Khalil H. (2013). An indirect adaptive servocompensator for signals of unknown frequencies with application to nanopositioning. Automatica, 49, 2006–2016. doi: 10.1016/j.automatica.2013.03.016
  • Evesque, S., Annaswamy, A. M., Niculescu, S. I., & Dowling, A. P. (2003). Adaptive control of a class of time-delay systems. ASME Transactions on Dynamics, Systems, Measurement, and Control, 125, 186–193. doi: 10.1115/1.1567755
  • Francis D. A., & Wonham W. N. (1975). The internal model principle for linear multivariable regulators. Applied Mathematics and Optimization, 2(4), 170–194. doi: 10.1007/BF01447855
  • Furtmuller C., Colaneri P., & del Re L. (2012). Adaptive robust stabilization of continuous casting. Automatica, 48, 225–232. doi: 10.1016/j.automatica.2011.09.049
  • Gerasimov D., Paramonov A., & Nikiforov V. (2015). Adaptive disturbance compensation in delayed linear systems: Internal model approach. IEEE Conference on Control Applications, 1692–1696.
  • Gerasimov D., Paramonov A., & Nikiforov V. (2016). Algorithm of multiharmonic disturbance compensation in linear systems with arbitrary delay: internal model approach. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 16(6), 1023–1030. doi: 10.17586/2226-1494-2016-16-6-1023-1030
  • Gerasimov D., Paramonov A., & Nikiforov V. (2017). Algorithms of fast adaptive compensation of disturbance in linear systems with arbitrary input delay. IFAC-PapersOnLine, 50(1), 12892–12897. doi: 10.1016/j.ifacol.2017.08.1942
  • Ioannou, P., & Sun, J. (1996). Robust adaptive control. Upper Saddle River, NJ: Prentice-Hall.
  • Johnson C. D. (1971). Accomodation of external disturbances in linear regulator and servomechanism problems. IEEE Transactions on Automatic Control, 16, 635–644. doi: 10.1109/TAC.1971.1099830
  • Kreisselmeier G. (1977, February). Adaptive observers with exponential rate of convergence. IEEE Transactions on Automatic Control, 22(1), 2–8. doi: 10.1109/TAC.1977.1101401
  • Krstic M. (2009). Delay compensation for nonlinear, adaptive and PDE systems. Boston, MA: Birkhauser.
  • Kwon H. W., & Pearson A. E. (1980). Feedback stabilization of linear systems with delayed control. IEEE Transactions on Automatic Control, 25(2), 266–269. doi: 10.1109/TAC.1980.1102288
  • Lewis R. M. (1979). Control-delayed system properties via an ordinary model. International Journal of Control, 30(2), 477–490. doi: 10.1080/00207177908922788
  • Lion P. (1967). Rapid identification of linear and nonlinear systems. AIAA Journal, 5, 1835–1842. doi: 10.2514/3.4313
  • Marino R., Santosuosso G. L., & Tomei P. (2003). Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency. Automatica, 39, 1755–1761. doi: 10.1016/S0005-1098(03)00170-5
  • Marino R., & Tomei P. (2005). Adaptive tracking and disturbance rejection for uncertain nonlinear systems. IEEE Transactions on Automatic Control, 50, 90–95. doi: 10.1109/TAC.2004.841132
  • Marino R., & Tomei P. (2015). Output regulation for unknown stable linear systems. IEEE Transactions on Automatic Control, 60, 2213–2218. doi: 10.1109/TAC.2014.2368234
  • Messineo S., & Serrani A. (2009). Offshore crane control based on adaptive external models. Automatica, 45, 2546–2556. doi: 10.1016/j.automatica.2009.07.032
  • Narendra, K., & Annaswamy, A. (1989). Stable adaptive systems. Upper Saddle River, NJ: Prentice-Hall.
  • Nikiforov V. (1996). Adaptive servocompensation of input disturbances. Proceedings of the 13th IFAC world congress, San Francisco (pp. 175–180).
  • Nikiforov V. (1998). Adaptive nonlinear tracking with complete compensation of unknown disturbances. European Journal of Control, 4(2), 132–139. doi: 10.1016/S0947-3580(98)70107-4
  • Nikiforov V. (2001). Nonlinear servocompensation of unknown external disturbances. Automatica, 37, 1647–1653. doi: 10.1016/S0005-1098(01)00117-0
  • Nikiforov V. (2004). Observers of external deterministic disturbances. I. Objects with known parameters. Automation & Remote Control, 65, 1531–1541. doi: 10.1023/B:AURC.0000044264.74470.48
  • Pyrkin A. A., & Bobtsov A. (2016). Adaptive controller for linear system with input delay and output disturbance. IEEE Transactions on Automatic Control, 61(12), 4229–4234. doi: 10.1109/TAC.2015.2509428
  • Pyrkin A., Smyshlyaev A., Bekiaris-Liberis N., & Krstic M. (2010). Rejection of sinusoidal disturbance of unknown frequency for linear system with input delay. American control conference, San Francisco, Baltimore, MD, USA.
  • Richard J. P. (2003). Time-delay systems: An overview of some recent advances and open problems. Automatica, 39, 1667–1694. doi: 10.1016/S0005-1098(03)00167-5
  • Sastry S., & Bodson M. (1989). Adaptive control: Stability, convergence and robustness. NJ: Prentice-Hall.
  • Zhang, X., Liu, X., & Zhu, Q. (2016). Attitude control of rigid spacecraft with disturbance generated by time varying exosystems. Communications in Nonlinear Science and Numerical Simulation, 35, 25–36. doi: 10.1016/j.cnsns.2015.11.004
  • Zhong Q. (2004). On distributed delay in linear control laws - part I: Discrete-delay implementations. IEEE Transactions on Automatic Control, 49(11), 2074–2080. doi: 10.1109/TAC.2004.837531

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