Adaptive Observers with Uncertainty in Loop Tuning for Linear Time-Varying Dynamical Systems

Adaptive Observers with Uncertainty in Loop Tuning for Linear Time-Varying Dynamical Systems

Автор: Nikolay Karabutov

Журнал: International Journal of Intelligent Systems and Applications(IJISA) @ijisa

Статья в выпуске: 4 vol.9, 2017 года.

Бесплатный доступ

The method of construction adaptive observers for linear time-varying dynamical systems with one input and an output is offered. Adaptive algorithms for identification are designed. Adaptive algorithms not realized as an adaptive system contains parametric uncertainty (PU). Realized adaptive algorithms of identification parameters system are offered. They on the procedure of the estimation PU and algorithm of signal adaptation are based. The algorithm of velocity change system parameters estimation is proposed. Estimations PU and its misalignments are obtained. Boundedness of trajectories an adaptive system is proved. Exponential stability conditions of the adaptive system are obtained. Iterative procedure of construction a parametric restrictions area is proposed. Simulation results have confirmed the efficiency of the method construction an adaptive observer.

Еще

Identification, adaptive observer, time-varying dynamical system, Lyapunov function, uncertainty, vector combined equations of comparison

Короткий адрес: https://sciup.org/15010916

IDR: 15010916

Список литературы Adaptive Observers with Uncertainty in Loop Tuning for Linear Time-Varying Dynamical Systems

  • R.L. Carrol, D.P. Lindorff, "An adaptive observer for single-input single-output linear systems," IEEE Trans. Automat. Control, 1973, vol. AC-18. no. 5, pp. 428–435.
  • R.L. Carrol, R.V. Monopoli, "Model reference adaptive control estimation and identification using only and output signals," Processings of IFAC 6th Word congress, Boston: Cembridge. 1975, part 1, pp. 58.3/1-58.3/10.
  • G. Kreisselmeier, "A robust indirect adaptive control ap-proach," Int. J. Control, 1986, vol. 43, no. 1, pp. 161–175.
  • P. Kudva, K.S. Narendra, "Synthesis of a adaptive observer using Lyapunov direct method," Jnt. J. Control, 1973, vol. 18, no. 4, Pp. 1201–1216.
  • K.S. Narendra, P. Kudva, "Stable adaptive schemes for system: identification and control," IEEE Trans. on Syst., Man and Cybern, 1974, vol. SMC-4, no. 6, pp. 542–560.
  • S. Nuyan, R.L. Carrol, "Minimal order arbitrarily fast adaptive observer and identifies," IEEE Trans. Automat. Control, 1979, vol. AC-24, no. 2, pp. 496–499.
  • M.J Feiler; K.S. Narendra, "Simultaneous identification and control of time–varying systems," in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego CA, U.S.A., 2006.
  • Na Jing, Y. Juan, R. Xuemei, and G. Yu, "Robust adaptive estimation of nonlinear system with time-varying pa-rameters," International journal of adaptive control and signal processing, 2014, vol. 29, no. 8, pp. 1055–1072.
  • G. Bastin, and M.R. Gevers, "Stable adaptive observers for nonlinear time-varying systems," IEEE Transactions on Automatic Control, 1988, vol. AC-33, no. 7, pp. 650-658.
  • Y. Zhang, B. Fidan, and P.A. Ioannou, "Backstepping control of linear time-varying systems with known and unknown parameters," IEEE Trans. Automat. Contr., 2003, vol. AC-48, no. 11, pp. 1908–1925.
  • Q. Zhang, and A. Clavel, "Adaptive observer with expo-nential forgetting factor for linear time varying systems," In Proceedings of the 40th IEEE Conference on Decision and Control (CDC ’01), December 2001, vol. 4, pp. 3886–3891.
  • V.Ja. Katkovnik, V.Е. Heysin, "Adaptive control static essentially time-varying object," Automation and Remote Control, 1988, v. 49, no. 4, pp. 465–474.
  • I.I. Perelman, "Methods of consistency estimation param-eters of linear dynamic objects and problematical character of their implementation on a finite sample," Automation and Remote Control, 1981, vol. 42, no. 3, pp. 309–313.
  • D. Bestle, M. Zeitz, "Canonical form observer design for nonlinear time-variable systems." Int. J. Control, 1983, vol. 38, no. 2, pp. 419–431.
  • J. Mason, E. Bai, L.-C. Fu, M. Bodson, and S. S. Sastry, "Analysis of adaptive identifiers in the presence of un-modeled dynamic: averaging and tuned parameters," IEEE Trans. Automat. Control, 1988, vol. AC-33, no. 10, pp. 969–979.
  • N.N. Karabutov, "Identification of uncertain systems. I: Adaptive proportional-integral algorithms with uncertainty, "Automation and remote control, 1997, vol. 58, no. 11, pp. 1795-1805.
  • A. Rodríguez, G. Quiroz, R. Femat, H.O. Méndez-Acosta, and J. de León, "An adaptive observer for operation moni-toring of anaerobic digestion wastewater treatment," Chemical Engineering Journal, 2015, vol. 269, pp. 186–193.
  • N.N. Karabutov, "Identification of time-varying dynamic systems in space "input-exit", in Fundamental physical and mathematical problems and modeling of engineering-technological systems, 2004, is. 7, Publishing house "Ja-nus-K", pp. 209–218.
  • K.S. Narendra, L.S. Valavani, "Stable adaptive controller design – direct control," IEEE Trans. Automat. Control, 1978, vol. AC-23, no. 4, pp. 570–583.
  • N.N. Karabutov, Adaptive identification of systems. Mos-cow: URSS, 2007.
  • E.A. Barbashin, Lyapunov function. Moscow: Nauka, 1970.
Еще
Статья научная
QR-код для установки приложения SciUp Наведите камеру и скачайте бесплатное приложение SciUp