A numerical analysis of how to choose an optimal slew rate for a feedforward slew rate limiter applied to a second-order system. The goal is to reduce overshoot while keeping output delay reasonable. Using Python/SciPy simulations, the author derives an empirical rule: R = Δx / (2π α τ) with α ≈ 1, where Δx is the step size and τ is the system time constant. For typical damping factors, this approach reduces overshoot by roughly 3x while adding about 5τ of peak delay. A concrete 3V→5V voltage ramp example with a 20% overshoot system is simulated to validate the rule.
