An overview of finite/fixed-time control and its application in engineering systems

Y Liu, H Li, R Lu, Z Zuo, X Li - IEEE/CAA Journal of Automatica …, 2022 - ieeexplore.ieee.org
The finite/fixed-time stabilization and tracking control is currently a hot field in various
systems since the faster convergence can be obtained. By contrast to the asymptotic …

Fixed-time and prescribed-time consensus control of multiagent systems and its applications: A survey of recent trends and methodologies

B Ning, QL Han, Z Zuo, L Ding, Q Lu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Fixed-time and prescribed-time consensus control can bring an explicit estimate of the
settling time without dependence on initial conditions, which is important in providing control …

Bipartite consensus tracking for second-order multiagent systems: A time-varying function-based preset-time approach

B Ning, QL Han, Z Zuo - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
This article is concerned with bipartite consensus tracking for second-order multiagent
systems with signed directed graphs. A time-varying function-based preset-time approach is …

Enhancing the settling time estimation of a class of fixed‐time stable systems

R Aldana‐López, D Gómez‐Gutiérrez… - … Journal of Robust …, 2019 - Wiley Online Library
In this paper, we provide a new nonconservative upper bound for the settling time of a class
of fixed‐time stable systems. To expose the value and the applicability of this result, we …

Time base generator-based practical predefined-time stabilization of high-order systems with unknown disturbance

C Guo, J Hu - IEEE Transactions on Circuits and Systems II …, 2023 - ieeexplore.ieee.org
This brief investigates a predefined-time stabilization problem for a high-order integrator
chain system with an unknown disturbance by using a time base generator (TBG) method …

Event-based predefined-time second-order practical consensus with application to connected automated vehicles

J Liu, J Shi, Y Wu, X Wang, J Sun… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this study, an event-based control strategy is proposed for second-order disturbed multi-
agent systems (MASs) to achieve predefined-time practical consensus. In comparison to 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 …

Prescribed-time consensus tracking of multiagent systems with nonlinear dynamics satisfying time-varying Lipschitz growth rates

Y Ren, W Zhou, Z Li, L Liu, Y Sun - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Prescribed-time consensus tracking for second-order nonlinear multiagent systems (MASs)
with the unknown nonlinear dynamics satisfying a time-varying Lipschitz growth rate is …

Predefined‐time backstepping control for a nonlinear strict‐feedback system

B Liu, M Hou, C Wu, W Wang, Z Wu… - International Journal of …, 2021 - Wiley Online Library
Two novel predefined‐time control algorithms for a nonlinear strict‐feedback system are
proposed in this short communication. It is required that the upper bound of system …

Synchronization of complex networks with continuous or discontinuous controllers based on new fixed-time stability theorem

Y Xu, X Wu, N Li, JA Lu, C Li - IEEE Transactions on Systems …, 2022 - ieeexplore.ieee.org
As the bounds of convergence time (CT) for fixed-time (FxT) stability have connections with
some parameters of the system, the existing methods of FxT stability are still not really FxT …