Disturbance rejection PID anti-windup control under bandwidth tuning
The design of proportional integral derivative(PID)anti-windup control is a classical nonlinear control prob-lem with rich theoretical research,but the dominant method used in the engineering is still a simple integral anti-windup control scheme.The reason is that the existing theoretical methods heavily rely on the system model and state-space theory,which complicates the relationship between stability condition and parameter tuning.Based on the classical anti-windup control scheme,this paper proposes the concept of"anti-windup bandwidth"for the first time to reveal the parameters'tun-ing mechanism for anti-windup control.Meanwhile,the design of two low-order anti-windup compensators are developed based on the bandwidth tuning mechanism.Under the disturbance rejection PID feedback control,the small gain theorem is used to derive the stability condition with intuitive stabilization relationship between the control bandwidth and anti-windup bandwidth,which concludes as the bandwidth tuning method for anti-windup control.Finally,the effectiveness of the proposed method is verified by numerical simulation.
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