6533b7d4fe1ef96bd1261e7a

RESEARCH PRODUCT

Optimal nonlinear damping control of second-order systems

Michael Ruderman

subject

Computer Networks and CommunicationsApplied MathematicsPassivityInverseSystems and Control (eess.SY)Electrical Engineering and Systems Science - Systems and ControlNonlinear systemVDP::Teknologi: 500Quadratic equationExponential stabilityControl and Systems EngineeringControl theorySignal ProcessingConvergence (routing)Overshoot (signal)FOS: Electrical engineering electronic engineering information engineeringTransient (oscillation)Mathematics

description

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 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 design additional parameters and ensuring a fast convergence, without transient overshoots for a non-saturated and one transient overshoot for a saturated control configuration.

10.1016/j.jfranklin.2021.03.022https://hdl.handle.net/11250/2753893