Attenuation of Pulse Disturbances in Biomolecular Oscillators

摘要

Disturbance rejection is an important control objective. While this has been widely investigated when the attractor is a fixed point, the case when the attractor is a limit cycle is generally unclear. Here we address this issue using computational model of a benchmark three-node biomolecular oscillator. We estimate the attenuation of pulsed disturbances in this oscillator using two metrics. We add additional positive/ negative feedback to this and find that the positive feedback can improve the attenuation properties. These results should help in designing controllers for limit cycles.