Hybrid Integrator-Gain Systems: A Remedy for Overshoot Limitations in Linear Control?

This letter shows that for a single-input single-output linear time-invariant plant having a real unstable open-loop pole, the overshoot inherent when using any stabilizing linear time-invariant feedback controller can be eliminated with a hybrid integrator-gain-based control strategy. Key design considerations underlying the presented controller are discussed, and an interpretation of the working mechanism is provided.