An almost Anti-Windup scheme for plants with magnitude, rate and curvature saturation

Abstract

Abstract-We address the anti-windup augmentation problem for plants with saturations on the magnitude, rate and curvature of the control input. To this aim, given an unconstrained closed-loop, we generate a slightly modified strictly proper controller for which the derivatives of the control signal are available and we solve the anti-windup problem for this modified control scheme (namely, an almost anti-windup for the original closed-loop). Based on this "almost" approach, we revisit an existing Model Recovery anti-windup solution for rate and magnitude saturated plants and then we extend the results to the case of rate, magnitude and curvature saturation, by providing a Model Recovery solution to this additional problem. Several examples are used to illustrate the peculiarities and the effectiveness of the proposed solutions.

Anti-Windup Load Frequency Controller Design for Multi-Area Power System with Generation Rate Constraint

“…Moreover, if the K aw selection guarantees the asymptotic stability of the subsystem Equation (9b), then the following conclusions hold [31,32,36]:…”

“…Based on the LFC model P, the anti-windup schemes [31,32] are employed to synthesize the LFC in the following subsections.…”

“…To tackle the magnitude and rate saturations of the control input, we borrow the anti-windup control scheme [32] shown in Figure 3. In the anti-windup control approach, it is needed to compute the first-order derivative of the controller output yc.…”

“…The proof of the above theorem is omitted in this paper, since it has been presented in the literature [31,32,36] in detail. According to the theorem, the key step for synthesizing the anti-windup controller is to design the gain matrix K aw to keep the subsystem Equation (9b) stable.…”

“…According to the theorem, the key step for synthesizing the anti-windup controller is to design the gain matrix K aw to keep the subsystem Equation (9b) stable. In terms of the recipe in [32], the gain matrix K aw is selected to stabilize the following dynamic model:…”