Optimal nonlinear damping control of second-order systems

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global asymptotic stability, passivity property, and convergence time and accuracy are demonstrated. Also the control saturation case is explicitly analyzed. The suggested nonlinear damping is denoted as optimal since requiring no additional design parameters and ensuring a fast convergence, without transient overshoots for a non-saturated and one transient overshoot for a saturated control configuration. (C) 2021 The Author(s). Published by Elsevier Ltd on behalf of The Franklin Institute.

Automated summary

A novel nonlinear damping control scheme is proposed for second-order systems, demonstrating global asymptotic stability, passivity, and fast convergence without transient overshoots. Control saturation case is also explicitly analyzed in the study.