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Overshoot Mitigation Using the Reference Governor Framework

Published

Author(s)

Dhananjay Anand, Hamid Ossareh, Collin Freiheit

Abstract

This paper presents a novel reference governor scheme for overshoot mitigation in a tracking control system. Our proposed scheme, referred to as the Reference Governor with DynamicConstraint (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 compute the input commands 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.
Citation
IEEE Control Systems Letters

Keywords

Overshoot mitigation, Reference governor, Constraint management, Maximal admissible set, Linear systems
Created January 13, 2020, Updated February 3, 2020