Power-on-reset circuitry is provided for integrated circuits such as programmable logic device integrated circuits. The power-on-reset circuitry may use comparator-based trip point voltage detectors to monitor power supply voltages. The trip point detectors may use circuitry to produce trip point voltages from a bandgap reference voltage. Controller logic may process signals from the trip point detectors to produce a corresponding power-on-reset signal. The power-on-reset circuitry may contain a noise filter that suppresses noise from power supply voltage spikes. Normal operation of the power-on-reset circuitry may be blocked during testing. The power-on-reset circuitry may be disabled when the bandgap reference voltage has not reached a desired level. The power-on-reset circuitry may be sensitive or insensitive to the power-up sequence used by the power supply signals. Brownout detection blocking circuitry may be provided to prevent the output from one of the trip point detectors from influencing the power-on-reset circuitry.