89 citations · 127 across the 12 of their papers we have counts for
6 papers · 1 filter
Barrier Function-Based Adaptive Continuous Higher-Order Sliding Mode Controllers with Unbounded Perturbations
Yacine Chitour, Hussein Obeid, Salah Laghrouche +1
In this paper, two classes of continuous higher order adaptive sliding mode controllers based on barrier functions are developed for a perturbed chain of integrators with unbounded…
An arbitrary-order predefined-time exact differentiator for signals with exponential growth bound
David Gómez-Gutiérrez, Rodrigo Aldana-López, Richard Seeber +2
There is a growing interest in differentiation algorithms that converge in fixed time with a predefined Upper Bound on the Settling Time (UBST). However, existing differentiation a…
A Lyapunov Approach to Barrier-Function Based Time-Varying Gains Higher Order Sliding Mode Controllers
Salah Laghrouche, Mohamed Harmouche, Yacine Chitour +2
In this paper, we present Lyapunov-based {\color{black}time varying} controllers for {\color{black}fast} stabilization of a perturbed chain of integrators with bounded uncertaintie…
Barrier function-Based Variable Gain Super-Twisting Controller
Hussein Obeid, Salah Laghrouche, Leonid Fridman +2
In this paper, a variable gain super-twisting algorithm based on a barrier function is proposed for a class of first order disturbed systems with uncertain control coefficient and…
Non-Uniform Stability, Detectability, and, Sliding Mode Observer Design for Time Varying Systems with Unknown Inputs
Markus Tranninger, Sergiy Zhuk, Martin Steinberger +2
This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and s…
Pole-placement in higher-order sliding-mode control
Debbie Hernández, Fernando Castaños, Leonid Fridman
We show that the well-known formula by Ackermann and Utkin can be generalized to the case of higher-order sliding modes. By interpreting the eigenvalue assignment of the sliding dy…