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A new method of studying the transient response of a large class of nonlinear feedback control systems to a step input has been developed. The basis of the new method is quasi-linearization by which the nonlinear system is converted to an equivalent linear model, subject to certain limitations. Evaluation of the transient characteristics of the quasilinearized system through linear servo techniques furnishes an insight to the problem of designing the nonlinear feedback control system to meet its prescribed transient response.
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Kan Chen (1956) studied this question.
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