PID Tuning API
PID-controller-tuning maths as an API, computed locally and deterministically. The ziegler-nichols endpoint computes controller gains with the closed-loop (ultimate-gain) method: from the ultimate gain Ku at which the loop sustains oscillation and its period Tu it returns the proportional, integral and derivative gains for a P, PI, PD or PID controller using the classic table (PID: Kp = 0.6·Ku, Ti = 0.5·Tu, Td = 0.125·Tu), in both the standard (Ti, Td) and parallel (Ki, Kd) parameters. The reaction-curve endpoint computes gains with the open-loop method from a step-response process model — the process gain K, the dead time L and the time constant T — using the Ziegler-Nichols reaction-curve table (PID: Kp = 1.2·T/(K·L), Ti = 2L, Td = 0.5L). The convert endpoint translates between the parallel form (Kp, Ki, Kd) and the standard form (Kp, Ti, Td) using Ki = Kp/Ti and Kd = Kp·Td. Everything is computed locally and deterministically, so it is instant and private. Ideal for industrial-automation, robotics, process-control, motor-control and IoT app developers, controller-tuning and loop-design tools, and control-systems education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is PID controller tuning; for op-amp circuits use an op-amp API and for resonance and reactance a resonance API.
api.oanor.com/pid-api
