graduate student from 01.01.2017 until now
g. Moskva, gor. Troick, Moscow, Russian Federation
This paper deals with the identification of nonlinear systems of adaptive observers (AO). The process of building an AH consists of two stages – structural and parametric. At the structural stage, the class of nonlinearity and its structural parameters are estimated. In the process of parametric identification, the adjustment of the obtained parameters of the nonlinear system takes place. Considered two cases of application of structural information. The main focus is on the case of insufficient structural information. Adaptive algorithms for setting the parameters of AO are proposed. A procedure for estimating uncertainty is proposed.
adaptive observer, identification, structural identification, structural identifiability, non-linear system, Lyapunov vector function, framework, saturation
1. Carrol, R. L. An adaptive observer for single-input single-output linear systems / R. L. Carrol , D. P. Lindorff // IEEE Trans. Automat. Control. - 1973. - Vol. AC-18, No. 5. - Pp. 428-435.
2. Carrol, R. L. Model reference adap-tive control estimation and identification using only and output signals, / R. L. Carrol, R. V. Monopoli // Processings of IFAC 6th Word con-gress. - Boston, Cembridge, 1975. - Part 1. - Pp. 58.3/1-58.3/10.
3. Kreisselmeier, G. A robust indirect adaptive control approach / G.Kreisselmeier // Int. J. Control. - 1986. - Vol. 43, No. 1. - Pp. 161-175.
4. Kudva, P. Synthesis of a adaptive observer using Lyapunov direct method / P. Kudva, K.S. Narendra // Jnt. J. Control. - 1973. - Vol. 18, No.4. - Pp. 1201-1216.
5. Narendra, K.S. Stable adaptive schemes for system: identification and control / K.S. Narendra , B. Kudva // IEEE Trans. on Syst., Man and Cybern. - 1974. - Vol. SMC-4, No. 6. - Pp. 542-560.
6. Bastin, G. Stable adaptive observers for nonlinear time-varying systems / G. Bastin, R. Gevers // IEEE Transactions on automatic control. - 1988. - Vol. 33, No. 7. - Pp. 650-658.
7. Marino, R. Global adaptive observers for nonlinear systems via filteres transformations / R. Marino, P. Tomei // IEEE Transactions on Automatic Control. - 1992. - Vol. 37, No. 8. - Pp. 1239-1245.
8. Marino, R. Nonlinear control design: Geometric, Adaptive & Robust / R. Marino, P. Tomei. - London : Prentice Hall, 1995, - 396 p.
9. Krstić, M. Adaptive Nonlinear Out-put-Feedback Schemes with Marino-Tomei Controller / M. Krstić, P. V. Kokotović // IEEE Transactions on automatic control. -1996. - Vol. 41, No. 2. - Pp. 274-280.
10. Kahveci, N. E. Indirect Adaptive Control for Systems with Input Rate Saturation / N. E. Kahveci, P. A. Ioannou // 2008 American Control Conference, Westin Seattle Hotel, Seattle, Washington, USA June 11-13. - 2008. - Pp. 3396-3401.
11. Annaswamy, A. M. Stale adaptive systems in the presence of nonlinear parameterization / A.M. Annaswamy, A.-R. Loh // In Adaptive Control Systems, Ed. G. Feng and R. Lozano. Newnes. - 1999. - Pp. 215-259.
12. Baang, D. Adaptive observer us-ing auto-generating B-splines / D. Baang, J. Stoev, J.Y. Choi // International Journal of Control, Automation, and Systems. - 2007. - Vol. 5, No. 5. - Pp. 479-491.
13. Garimella, P. Nonlinear adaptive robust observer design for a class of nonlinear systems / P. Garimella, B. Yao // Pro-ceedings of the American Control Conference Denver Colorado June 4-6 2003. - 2003. - Pp. 4391-4396.
14. Oucief, N. Adaptive observer-based fault estimation for a class of Lipschitz nonlinear systems / N. Oucief, M. Tadjine, S. Labiod // Archives of control sciences. - 2016. - Vol. 26(LXII), No. 2. - Pp. 245-259.
15. Besançon, G. An Overview on Observer Tools for Nonlinear Systems / G. Besançon // In Lecture Notes in Control and Information Sciences 363, Ed. M. Thoma, M. Morari. - Springer, 2007. - Pp. 10-42.
16. Boizot, N. Adaptive-Gain Observers and Applications / N. Boizot, E. Busvelle // In Lecture Notes in Control and In-formation Sciences 363, Ed. G. Besançon. - Springer, 2007. - Pp. 10-42.
17. Boizot, N. An adaptive high-gain observer for nonlinear systems / N. Boizot, E. Busvelle, J-P. Gauthier // Automatica. - 2010. - Vol. 46, Is. 9. - Pp. 1483-1488.
18. Hovakimyan, N. An adaptive observer design methodology for bounded nonlinear processes / N. Hovakimyan, A.J. Calise, V.K. Madyastha // In Proc. 41st IEEE Conference on Decision and Control, Las Vegas, NV , Dec. - 2002. - Pp. 4700-4705.
19. Narendra, K. S. Identification and control of dynamical systems using neural networks / K.S. Narendra, K. Parthasarathy // IEEE Transactions on Neural Networks. - 1990. - Vol. 1. - Pp. 4 27.
20. Zhu, J. LMI-based adaptive observers for nonlinear systems / J. Zhu, K. Khayati // International journal of mechanical engi-neering and mechatronics. - 2012. - Vol. 1, Is. 2. - Pp. 50-60.
21. Karabutov, N. Structural identification of dynamic systems with hysteresis / N. Karabutov // International Journal of Intelligent Systems and Applications. - 2016. - Vol. 8, No. 7. - Pp. 1-13.
22. Karabutov, N. Frameworks in problems of structural identification systems / N. Karabutov // International Journal of Intelligent Systems and Applications. - 2017. - Vol. 9, No. 1. - Pp. 1-19.
23. Karabutov, N. N. Strukturnaya identifikaciya staticheskih ob'ektov: Polya, struktury, metody / N. N. Karabutov. - M. : Knizhnyy dom «LIBROKOM», 2011. - 152 s.
24. Karabutov, N. Structural identification of nonlinear dynamic systems / N. Karabutov // International journal intelligent systems and applications. - 2015. - Vol. 7, No. 9. - Pp. 1-11.
25. Karabutov, N. N. Adaptivnaya identiftikaciya sistem: informacionnay sintez / N. N. Karabutov. - Moskva : URSS, 2016. - 384 s.
26. Karabutov, N. Structures, fields and methods of identifica-tion of nonlinear static systems in the conditions of uncer-tainty / N. Karabutov, // Intelligent Control and Automation. - 2010. - Vol.1, No.2. - Pp. 59-67.
27. Choquet, G. L'enseignement de la geometrie / G. Choquet. - Paris : Her-mann, 1964. - 168 p.
28. Karabutov, N. Structural identification of nonlinear static system on basis of analysis sector sets / N. Karabutov // International journal intelligent systems and applications. - 2013. - Vol. 6, No. 1. - Pp. 1-10.
29. Karabutov, N. Adaptive observers for linear time-varying dynamic objects with uncertainty estimation / N. Karabutov // International journal intelligent systems and applications. - 2017. - Vol. 9, No. 6. - Pp. 1-14.
30. Karabutov, N. Adaptive observers with uncertainty in loop tuning for linear time-varying dynamical systems / N. Karabutov // International journal intelligent systems and applications. - 2017. - Vol. 9, No. 4. - Pp. 1-13.
31. Barbashin, E. A. Funkcii Lyapunova / E.A.Barbashin. - M. : Nauka, 1970. - 240 s.
