Journal ArticleDOI
Finite-time stabilization with arbitrarily prescribed settling-time for uncertain nonlinear systems
Caiyun Liu,Yungang Liu +1 more
Reads0
Chats0
TLDR
In this paper , a state-feedback controller with design parameters is proposed to tune the parameters online, wherein two types of switching sequences are involved to suppress serious uncertainties and to guarantee arbitrarily prescribed settling-time, respectively.About:
This article is published in Systems & Control Letters.The article was published on 2022-01-01. It has received 7 citations till now. The article focuses on the topics: Computer science & Settling time.read more
Citations
More filters
Journal ArticleDOI
Fixed-time stabilization of generalized leakage-delayed neural networks with discontinuous disturbances via mixed-delay-product-type LKF
TL;DR: In this article , a class of generalized leakage-delayed neural networks with discontinuous disturbances is studied, and the existence and multiplicity of periodic solutions are proved by applying the differential inclusion theory and fixed-point theorems of set-valued map.
Journal ArticleDOI
Prescribed-time stabilization for high-order nonlinear systems with a pre-specified asymmetric output constraint
TL;DR: In this article , the authors considered the problem of prescribed-time stabilization for a class of uncertain high-order nonlinear systems (i.e., systems in the p-normal form) with a pre-specified asymmetric output constraint.
Journal ArticleDOI
Two unified adaptive control approaches of uncertain delayed nonlinear systems
TL;DR: In this paper , the adaptive regulation problem of uncertain delayed nonlinear systems is investigated, and two unified adaptive control methods are presented such that the obtained systems are globally asymptotic stable.
Journal ArticleDOI
Adaptive finite-time stabilization for uncertain nonlinear systems with unknown control coefficients
Caiyun Liu,Yungang Liu +1 more
TL;DR: In this article , the non-identical power-type parameters are introduced in high-gain dynamics, instead of an identical one in the literature, to ensure the stabilizing terms have lower powers than the terms containing uncertainties, enabling finite-time convergence.
Journal ArticleDOI
Adaptive finite‐time stabilization with prescribed output convergence via an integrated scheme
Caiyun Liu,Yungang Liu +1 more
TL;DR: In this paper , an integrated controller is proposed to achieve the desirable stabilization, retaining the respective advantages of the above two schemes and circumventing their own disadvantages, and the system output converges from any initial value to an arbitrarily adjustable region with the prescribed convergence rate before a pre-given time instant, while the system states keep bounded.
References
More filters
Journal ArticleDOI
Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
Journal ArticleDOI
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
TL;DR: Two types of nonlinear control algorithms are presented for uncertain linear plants, stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into a prespecified neighborhood of the origin independently on initial conditions.
Journal ArticleDOI
Some remarks on a conjecture in parameter adaptive control
TL;DR: In this paper, it was shown that if f and g are restricted to be rational functions, the answer is no, and they gave explicit real analytic functions f and G which work.
Journal ArticleDOI
Global finite-time stabilization of a class of uncertain nonlinear systems
Xianqing Huang,Wei Lin,Bo Yang +2 more
TL;DR: It is proved that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system can be achieved by Holder continuous state feedback.
Journal ArticleDOI
Finite time controllers
TL;DR: In this article, continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems, and they have qualities superior to controllers which are currently in use in such applications, such as dynamical simulation.