89 citations · 127 across the 12 of their papers we have counts for
10 papers · 1 filter
On the Notion of Safe Sliding Mode Control
Marco A. Gomez, Christopher D. Cruz-Ancona, Leonid Fridman
Within the framework of Sliding Mode Control, safety critical control looks at two problems of theoretical significance: construct a sliding manifold that does not intersect a give…
Sensitivity analysis and experimental evaluation of PID-like continuous sliding mode control
Michael Ruderman, Johann Reger, Benjamin Calmbach +1
Continuous higher order sliding mode (CHOSM) controllers represent an efficient tool for disturbance rejection. For the systems with relative degree r, CHOSM approaches provide the…
Analysis of relay-based feedback compensation of Coulomb friction
Michael Ruderman, Leonid Fridman
Standard problem of one-degree-of-freedom mechanical systems with Coulomb friction is revised for a relay-based feedback stabilization. It is recalled that such a system with Coulo…
Multivariable Super-Twisting Algorithm for Systems with Uncertain Input Matrix and Perturbations
Jaime A. Moreno, Hector Riosand Luis Ovalle, Leonid Fridman
This paper proposes a Lyapunov approach to the design of a multivariable generalized Super-Twisting algorithm (MGSTA), which is able to control a system with perturbations and unce…
Super Twisting based Lyapunov Redesign for Uncertain Linear Delay Systems
Marco A. Gomez, Christopher D. Cruz-Ancona, Leonid Fridman
We present a new continuous Lyapunov Redesign (LR) methodology for the robust stabilization of a class of uncertain time-delay systems that is based on the so-called Super Twisting…
A uniform reaching phase strategy in adaptive sliding mode control
Christopher D. Cruz-Ancona, Leonid Fridman, Hussein Obeid +1
In adaptive sliding mode control methods, an updating gain strategy associated with finite-time convergence to the sliding set is essential to deal with matched bounded perturbatio…
Robust Orbital Stabilization: A Floquet Theory-based Approach
Christian Fredrik Sætre, Anton S. Shiriaev, Leonid B. Freidovich +2
The design of robust orbitally stabilizing feedback is considered. From a known orbitally stabilizing controller for a nominal, disturbance-free system, a robustifying feedback ext…
Robust exact differentiators with predefined convergence time
Richard Seeber, Hernan Haimovich, Martin Horn +2
The problem of exactly differentiating a signal with bounded second derivative is considered. A class of differentiators is proposed, which converge to the derivative of such a sig…
Chattering analysis of Lipschitz continuous sliding-mode controllers
C. Arturo Martínez-Fuentes, Ulises Pérez Ventura, Leonid Fridman
Lipschitz continuous sliding-mode controllers (LCSMC) are developed as the integral of discontinuous SMC, producing control signals of finite slope. Nevertheless, LCSMC still gener…
Is It Reasonable to Substitute Discontinuous SMC by Continuous HOSMC?
Ulises Pérez-Ventura, Leonid Fridman
Professor Utkin in his discussion paper proposed an example showing that the amplitude of chattering caused by the presence of parasitic dynamics in systems governed by First-Order…