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math.OC2025
Nonlinear integral extension of PID control with improved convergence of perturbed second-order dynamic systems
Michael Ruderman
Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model…
math.OC2025
Non-overshooting continuous in convergence sliding mode control of second-order systems
Michael Ruderman, Denis Efimov
This paper proposes a novel nonlinear sliding mode state feedback controller for perturbed second-order systems. In analogy to a linear proportional-derivative (PD) feedback contro…
math.OC2025
On convergence analysis of feedback control with integral action and discontinuous relay perturbation
Michael Ruderman
We consider third-order dynamic systems which have an integral feedback action and discontinuous relay disturbance. More specifically for the applications, the focus is on the inte…