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IETE Journal of Research Volume 22, 1976 - Issue 9
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Original Articles

Absolute Stability of Pulse-Width Modulated Feedback Systems Containing an Integrator

K. B. DattaDepartment of Applied Physics, Univeisity College of Technology, 92 Acharya P. C. Road, Calcutta, 700 009.
Pages 591-594 | Received 28 Mar 1974, Published online: 11 Jul 2015

REFERENCES

  • Kadota (TT) and Bourne (HC) JR. Stability of conditions of pulse-width-modulated systems through the second method of Lyapunov. IRE Trans. AC-6, Sept; 1961; 266–276.
  • Polak (E). Stability and graphical analysis of first order pulse-width modulated sampled-data systems. Ibid.,A.C-6, Sept; 1961; 276–282.
  • Murphy (GJ) and Wu (SH). A stability criterion for pulse-width modulated feedback systems. Ibid. AC-9, 4; 1964; 434–441.
  • Zeidan (IE). Conditions for ensuring a satisfactory stability range in a PWM system using the method of Murphy and Wu. Electronics Lett. 2, November; 1966; 400–401.
  • Zeidan (IE). Stability criterion for PWM feedback systems containing one integrating element. Ibid. 2; 1966; 402–403.
  • Datta (KB); Stability of pulse-width modulated feedback systems. Int. J. Control. 16, 5; 1972; 977–983.
  • Nelson (WL). Pulse-width relay control in sampling systems. Trans. ASME, Series D. Journal of Basic Engineering. 83, 3; March; 1961; 65–76.
  • Delfeld (FR) and Murphy (GJ). Analysis of pulse-width modulated control systems. IRE Trans. AC-6, Sept; 1961; 283–292.
  • Jury (EI) and Nishimura (T). On the periodic modes of oscillations in pulse-width modulated feedback systems. Trans. ASME. J. Basic Engg. 84. March; 1962; 71–84.
  • Jury (EI) and Nishimura (T). Stability study of pulse- width modulated feedback systems. Ibid. 84, March; 1964; 80–86.
  • Skooo (RA). On the stability of pulse-width modulated feedback systems. IEEE Trans. AC-13, Oct; 1968; 532–538.
  • Jury (EI) and Lee (BW). The absolute stability of systems with many nonlinearities. Automation and Remote Control. 16, 6; 1965; 943–961
  • Skoog (RA) and Blankenship (GL). Generalized pulse- width modulated feedback systems: norms, gains, Lipschitz constants, and stability. IEEE Trans. AC-15, 3; 1970; 300–315.
  • Popov (VM). The absolute stability of nonlinear auto matic control systems. Avt. i. Telemekh. 22, 8; 1961; 961–979.
  • Popov (VM). Critical cases of absolute stability. Avt. i. Telemekh. 23, 1; 1962.
  • Yakubovich (VA). The absolute stability of nonlinear systems in critical cases. I, II, Avt. I. Telemekh. 24, Nos. 3 & 6; 1963; 273–282, 655–668.
  • Kalman (RE), The Lyapunov functions for the problem of Lur'e in automatic control. Natl. Acad. Sci. 49, 2; 1963; 201–205.

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