Static anti-windup synthesis for linear systems subject to actuator amplitude and rate saturation using an LMI approach

In this paper, a static anti-windup synthesis problem is addressed. The original system with amplitude and rate saturation is simplified to the synthesis of a system with only amplitude saturation. Based on the general sector condition, the static anti-windup synthesis is solved by linear matrix inequality (LMI) using Lyapunov´s second method. Compared with other approaches, the designed controller need not to be strictly proper and can be applied to both stable and unstable system. Meanwhile, the best performance index can be obtained by solving a convex optimization problem. At the end of the paper, a simulation example is shown to illustrate the effectiveness of the proposed approaches.