Overshoot Mitigation Using the Reference Governor Framework

This letter presents a novel reference governor scheme for overshoot mitigation in a tracking control system. Our proposed scheme, referred to as the Reference Governor with Dynamic Constraint (RG-DC), recasts the overshoot mitigation problem as a constraint management problem. The outcome of this reformulation is a dynamic Maximal Admissible Set (MAS), which varies in real-time as a function of the reference signal. The RG-DC employs the dynamic MAS, as well as a novel switching logic, to modify the reference signal to prevent or mitigate overshoot. We present several properties of the dynamic MAS and the algorithms required to compute it. We also investigate the stability and recursive feasibility of the RG-DC. Simulation results demonstrate the efficacy of the approach, and also highlight its limitations.