Limit cycles with chattering in relay feedback systems
作者： Karl H Johansson , Andrey Baranov , Karl J Astrom
关键词: Linear system 、 Stability conditions 、 Control theory 、 Sliding mode control 、 Mathematics 、 Control system 、 Limit cycle 、 Limit (mathematics) 、 Relay 、 Nonlinear system
摘要: Several interesting behaviors occur in relay feedback systems. One of them is a limit cycle where part the consists fast switches. This chattering analyzed detail, and conditions for approximating it by sliding mode are derived. The stability proved cycles with regular modes as well chattering. Simulated examples illustrate these new results.
sci-hub.se 参考文章(10)
Leonid Fridman, Arie Levant, Higher order sliding modes as a natural phenomenon in control theory Springer, Berlin, Heidelberg. pp. 107- 133 ,(1996) , 10.1007/BFB0027563
M.D. Wadey, D.P. Atherton, A SIMULATION STUDY OF UNSTABLE LIMIT CYCLES IFAC Proceedings Volumes. ,vol. 20, pp. 149- 154 ,(1987) , 10.1016/S1474-6670(17)55622-0
I︠a︡. Z. T︠S︡ypkin, Relay Control Systems ,(1984)
A. Levant, Higher order sliding: Collection of design tools european control conference. pp. 3043- 3048 ,(1997) , 10.23919/ECC.1997.7082575
Vadim Ivanovich Utkin, Sliding Modes in Control and Optimization ,(1992)
S. Ė. Khaĭkin, Vitt, A. A. , d., Wilfred Fishwick, F. Immirzi, A. A. (Aleksandr Aleksandrovich) Andronov, Theory of Oscillators ,(1966)
Karl J. ÅStröM, Oscillations in Systems with Relay Feedback Adaptive Control, Filtering, and Signal Processing; (1995). ,vol. 74, pp. 1- 25 ,(1995) , 10.1007/978-1-4419-8568-2_1
P.M. Aziz, H.V. Sorensen, J. vn der Spiegel, An overview of sigma-delta converters IEEE Signal Processing Magazine. ,vol. 13, pp. 61- 84 ,(1996) , 10.1109/79.482138
S. Parker, S. Hess, Limit-cycle oscillations in digital filters IEEE Transactions on Circuit Theory. ,vol. 18, pp. 687- 697 ,(1971) , 10.1109/TCT.1971.1083367
A. S. Morse, Control Using Logic-Based Switching Springer, London. pp. 69- 113 ,(1997) , 10.1007/978-1-4471-3061-1_4