Fixed/preassigned-time synchronization of complex networks via improving fixed-time stability

C Hu, H He, H Jiang - IEEE Transactions on Cybernetics, 2020 - ieeexplore.ieee.org
This article is concerned with the problem of fixed-time (FXT) and preassigned-time (PAT)
synchronization for discontinuous dynamic networks by improving FXT stability and …

Special functions-based fixed-time estimation and stabilization for dynamic systems

C Hu, H Jiang - IEEE Transactions on Systems, Man, and …, 2021 - ieeexplore.ieee.org
Fixed-time stability (FXTS) and fixed-time control (FXTC) of dynamic systems are
reconsidered in this article based on special functions from the view of improving the …

On the design of nonautonomous fixed‐time controllers with a predefined upper bound of the settling time

D Gómez‐Gutiérrez - … Journal of Robust and Nonlinear Control, 2020 - Wiley Online Library
Recently, there has been a great deal of attention in a class of finite‐time stable dynamical
systems, called fixed‐time stable, that exhibit uniform convergence with respect to its initial …

Nonsingular recursive-structure sliding mode control for high-order nonlinear systems and an application in a wheeled mobile robot

H Zhang, B Li, B Xiao, Y Yang, J Ling - ISA transactions, 2022 - Elsevier
This work investigates the problem of fast tracking control for a class of high-order nonlinear
systems subject to the matched disturbances. More particularly, a novel practical fixed-time …

[HTML][HTML] Predefined-time control of nonlinear systems: A sigmoid function based sliding manifold design approach

N Mazhar, FM Malik, A Raza, R Khan - Alexandria Engineering Journal, 2022 - Elsevier
This work addresses the predefined-time convergence problem for a class of second order
nonlinear systems subjected to matched disturbances. A novel family of sigmoid function …

Generating new classes of fixed-time stable systems with predefined upper bound for the settling time

R Aldana-López, D Gómez-Gutiérrez… - … Journal of Control, 2022 - Taylor & Francis
This paper aims to provide a methodology for generating autonomous and non-autonomous
systems with a fixed-time stable equilibrium point where an Upper Bound of the Settling …

A predefined‐time first‐order exact differentiator based on time‐varying gains

R Aldana‐López, D Gómez‐Gutiérrez… - … Journal of Robust …, 2021 - Wiley Online Library
Recently, a first‐order differentiator based on time‐varying gains was introduced in the
literature, in its nonrecursive form, for signals having a second‐order derivative bounded by …

Robust leader-following consensus of high-order multi-agent systems in prescribed time

JA Colunga, HM Becerra, CR Vázquez… - IEEE …, 2020 - ieeexplore.ieee.org
This article addresses the distributed prescribed-time leader-following consensus problem
for a class of high-order multi-agent systems (MASs) with perturbed nonlinear agents …

Unified Sufficient Conditions for Predefined-Time Stability of Non-Linear Systems and Its Standard Controller Design

B Xiao, H Zhang, S Zhao, Z Chen, L Cao - Actuators, 2024 - mdpi.com
This paper presents a unified Lyapunov-based predefined-time stability theorem that
includes three sufficient conditions. The standard theoretical analysis method for achieving …

Fixed-time Consensus Control for Nonlinear Multi-Agent Systems Based on Sliding Mode Disturbance Observer

Y Yang, B Xin, Y He - 2024 43rd Chinese Control Conference …, 2024 - ieeexplore.ieee.org
This paper investigates consensus tracking control for nonlinear multi-agent systems with
unknown disturbances. By introducing an auxiliary dynamic system, a fixed-time sliding …