The windup problem in active vibration control (AVC) is investigated in details. Instead of reviewing a list of methods on various abstract simulations, a benchmark problem in AVC is defined. Then, the proposed methods are adapted to the output regulation problem in disturbance rejection control. The selected approaches are based on their fundamental contributions to the anti-windup compensation problem. Large attention is given to capture the similarities and differences of the methods in dealing with the windup problem. Therefore, instead of categorizing the methods to static and non-static methods or model recovery and direct linear anti-windup schemes, etc., a logical route is followed to highlight the significance of each method. The mathematical interpretations of the methods are provided for the vibration engineer while delivering forthright implementation algorithms for AVC. In this regards, the methods are unified for a state space representation that is commonly used in AVC modeling based on system identification. Practical issues that may raise for each technique are mentioned in the form of some remarks, and additionally, some guidelines are provided for tuning each algorithm. Finally, in order to investigate the compensated system's performance, detailed time-domain studies are carried out by separating the transient response of the systems to three modes: linear mode, where the actuation nonlinearity is inactive. The nonlinear mode, where the windup event is in progress, and finally, the output mismatch rejection mode, where the windup incident is over but performance degradation still continues to exist. Key-words: Active vibration control; Actuation windup; Lyapunov-based methods; Mismatch; Disturbance; Linear matrix inequality.
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