The paper studies the modes of oscillations in control systems which employ pulse width modulation power dispatch techniques in their loops for a wide class of linear time invariant systems. Particular care is taken of the mode of oscillation under which instability can occur. Both bipolar and unipolar pulse width modulation is considered and conditions which produce chaotic behaviour in the plant response are investigated.
Barry, N.1995. 'Bifurcation and chaos of a plant's response when driven by a PWM signal in a negative feedback loop.' Third Int Conf on Nonlinear Dynamics of Electronic Systems, University College Dublin, Ireland, July 37-40.
2.
Barry, N.1996. 'Stability of discrete linear feedback systems with pulse width modulation power dispatch.' Int J Elect Enging Educ , 33(2), 119-133.
3.
Gladyshev, S.P., Chugajev, V.V., and Gladyshev, P.S.1996. 'Instability and chaos in feedback systems with PWM and natural sampling.' Fourth Int Conf on Nonlinear Dynamics of Electronics Systems, Seville, Spain, June, 27-28.
4.
Heidel, J.1990. 'The existence of periodic orbits of the tent map.' Physics Letters A, 143(4,5), 195-201.
5.
Jury, E.I., and Nishimura, T.1962. 'On the periodic modes in pulse-width-modulation feedback systems.' Journal of Basic Engineering, Trans ASME, Series D, 84, 71-84.
6.
Jury, E.I., and Nishimura, T.1964. 'Stability study of PWM feedback systems.' Trans of the ASME, March. 80-86.
7.
Maistrenko Yu. L., and Maistrenko, V.L.1993. 'Cycles of chaotic intervals in a time-delayed Chua's circuit.' Int Journal of Bifurcation and Chaos, 3(6), 1557-1572.
8.
Sira-Ramírez, H.1992. 'Dynamical pulse width modulation control of nonlinear systems.' Systems & Control Letters, 18, 223-231.
