On frequency-domain analysis of ADRC for uncertain system

The paper investigates the frequency properties of active disturbance rejection control (ADRC) for a typical class of linear time invariant uncertain system. Firstly, it is shown that the ADRC based closed-loop can be stabilized by designing the bandwidth of extended state observer (ESO). The paper further analyzes the phase margin and crossover frequency of ADRC based system. The theoretical results reveal some useful frequency properties of the ADRC based system: the phase margin and crossover frequency are almost unchanged despite some uncertain parameters. And moreover, different kinds of uncertain parameter have various influence on the frequency properties of the system.

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