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By D. Atherton

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Trans. AIEE, Vol74(II), pp 294-308. Minorsky, N 1962, Nonlinear Oscillations, Van Nostrand, New York. Slotine, JJE & Li, W 1991, Applied Nonlinear Control, Prentice Hall, New Jersey. Struble, RA 1962, Nonlinear Differential Equations, McGraw Hill, New York. Thaler, GJ & Pastel, MP 1962, Analysis and Design of Nonlinear Feedback Control Systems, McGraw Hill, New York. Van der Pol, B 1934, Nonlinear theory of electric oscillations. Proc. IRE, Vol 22, pp 1051-1086. West, JC. 1960, Analytical Techniques for Nonlinear Control Systems, EUP, London.

AIEE, Vol 73(II), pp 383-390. Kalman, RE 1955, Analysis and design principles of second and higher order saturating servomechanisms. Trans. AIEE, Vol74(II), pp 294-308. Minorsky, N 1962, Nonlinear Oscillations, Van Nostrand, New York. Slotine, JJE & Li, W 1991, Applied Nonlinear Control, Prentice Hall, New Jersey. Struble, RA 1962, Nonlinear Differential Equations, McGraw Hill, New York. Thaler, GJ & Pastel, MP 1962, Analysis and Design of Nonlinear Feedback Control Systems, McGraw Hill, New York.

20 for no hysteresis, D = 0 ; for no dead zone, d = 0 ; and for an ideal relay, D = d = 0 . 1. Unfortunately this description is not correct for any input signal, x, and it has been used to obtain erroneous results for x a random signal. 11, one for single valued nonlinearities and the other for double valued nonlinearities. 5 Nonlinear Models and DFs Nonlinear models, which consist of linear segments with multiple break points, can often be modeled from the nonlinearities in (b) and (c) above and linear gains, usually connected in parallel.

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An Introduction to Nonlinearity in Control Systems by D. Atherton


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