This invited paper is dedicated to both the nonlinear behavior of a step-up DC/DC converter, and to its linearization. It explains the nonlinear DC and AC control-to-output transfer function and its RHP-zero. The explanation is based on linearized models developed in the paper. These models are suitable for SPICE-like environment, and allow to obtain accurate symbolic equations in Matlab format. The linearization methods based on tri-state PWM and predistortion are also described. The description is followed by a Matlab algorithm allowing fast computation of the voltagemode PID controller for pre-distorted PWM modulator. As a result, a linearized converter operating in wide duty-cycle range is designed with voltage mode feedback loop. B. Nonlinear Dynamic (transient) Response The dynamic response is governed by the operating point given by V IN , V OUT , I OUT and D. As an example, the Bode-plot of the control-to-output transfer function for three values of D is shown in Fig. 3. Here, each duty-cycle exhibits a different frequency characteristic, and thus a different transient response.
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