Targeting in systems with discontinuities, with applications to power electronics
作者： P.J. Aston , J.H.B. Deane , D.C. Hamill
DOI: 10.1109/81.633898
关键词: Inverse problem 、 Boost converter 、 Classification of discontinuities 、 Control theory 、 Mathematics 、 Attractor 、 Discontinuity (linguistics) 、 Orbit (dynamics) 、 Power electronics 、 Inverse function
摘要: Targeting methods appropriate for systems with discontinuities are considered. The multivalued inverse function is used to generate multiple preimages of the target region which quickly cover attractor. This method applied current-controlled boost converter in order jump between two controlled states. A significant reduction length orbit observed when compared targeting invertible maps.
core.ac.uk
sci-hub.se 参考文章(24)
P. J. Aston, An Investigation of a Mode Interaction Involving Period-Doubling and Symmetry-Breaking Bifurcations Springer Netherlands. pp. 49- 58 ,(1994) , 10.1007/978-94-011-0956-7_4
M. Paskota, A. I. Mees, K. L. Teo, Directing orbits of chaotic systems in the presence of noise: feedback correction Dynamics and Control. ,vol. 7, pp. 25- 47 ,(1997) , 10.1023/A:1008208914747
William L. Ditto, Applications of chaos in biology and medicine Introduction to chaos and the changing nature of Science and medicine. ,vol. 376, pp. 175- 201 ,(2008) , 10.1063/1.51060
Daolin Xu, Steven R. Bishop, Steering dynamical trajectories to target a desired state Chaos, Solitons & Fractals. ,vol. 4, pp. 1931- 1942 ,(1994) , 10.1016/0960-0779(94)90008-6
M. PASKOTA, A.I. MEES, K.L. TEO, Directing Orbits of Chaotic Dynamical Systems International Journal of Bifurcation and Chaos. ,vol. 05, pp. 573- 583 ,(1995) , 10.1142/S0218127495000478
Michael E. Brandt, Guanrong Chen, Controlling the dynamical behavior of a circle map model of the human heart Biological Cybernetics. ,vol. 74, pp. 1- 8 ,(1996) , 10.1007/BF00199132
Y. Tang, A. Mees, L. Chua, Synchronization and chaos IEEE Transactions on Circuits and Systems. ,vol. 30, pp. 620- 626 ,(1983) , 10.1109/TCS.1983.1085409
P.J. Aston, C.M. Bird, Analysis of the control of chaos—Extending the basin of attraction Chaos Solitons & Fractals. ,vol. 8, pp. 1413- 1429 ,(1997) , 10.1016/S0960-0779(96)00144-0
A Garfinkel, M. Spano, W. Ditto, J. Weiss, Controlling Cardiac Chaos Science. ,vol. 257, pp. 1230- 1235 ,(1992) , 10.1126/SCIENCE.1519060
C.M. Bird, P.J. Aston, Targeting in the presence of noise Chaos Solitons & Fractals. ,vol. 9, pp. 251- 259 ,(1998) , 10.1016/S0960-0779(97)00064-7