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A unified Lyapunov characterization for finite time control and prescribed time control

International Journal of Robust and Nonlinear Control, 2022
This work presents a novel approach to unifying finite time control and prescribed time control. The main idea is to establish a new Lyapunov differential inequality that allows finite time and prescribed time stability to be addressed uniformly.
Yongduan Song, Jie Su
semanticscholar   +1 more source

Adaptive Finite-Time Control for Half-Vehicle Active Suspension Systems With Uncertain Dynamics

IEEE/ASME transactions on mechatronics, 2021
The finite-time control design problem of half-vehicle active suspension systems with uncertain dynamics and external disturbances is investigated in this article.
Yanjun Liu   +4 more
semanticscholar   +1 more source

Finite-time attitude control: a finite-time passivity approach

IEEE/CAA Journal of Automatica Sinica, 2015
This paper studies the finite-time attitude control problem for a rigid body. It is known that linear asymptotically stabilizing control laws can be derived from passivity properties for the system which describes the kinematic and dynamic motion of the attitude.
Shuochen Liu, Zhiyong Geng, Junyong Sun
openaire   +1 more source

Adaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults

IEEE Transactions on Cybernetics, 2020
This paper addresses the trajectory tracking control problem of a class of nonstrict-feedback nonlinear systems with the actuator faults. The functional relationship in the affine form between the nonlinear functions with whole state and error variables ...
Huanqing Wang   +3 more
semanticscholar   +1 more source

Design and Implementation of Bounded Finite-Time Control Algorithm for Speed Regulation of Permanent Magnet Synchronous Motor

IEEE transactions on industrial electronics (1982. Print), 2021
For the speed regulation problem of a permanent magnet synchronous motor (PMSM), a new class of finite-time control algorithms is designed and utilized to improve PMSM system's dynamical performance and disturbance rejection ability.
Haibo Du   +3 more
semanticscholar   +1 more source

Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design

SIAM Journal on Control and Optimization, 2010
This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems.
Yiguang Hong   +2 more
openaire   +1 more source

Distributed Observer-Based Finite-Time Control of AC Microgrid Under Attack

IEEE Transactions on Smart Grid, 2021
In this article, a novel distributed observer-based finite-time control scheme is proposed to improve the resilience of islanded AC microgrids under attack.
Rentao Lu, Jie Wang, Ziqiang Wang
semanticscholar   +1 more source

Adaptive Neural Network Finite-Time Control for Multi-Input and Multi-Output Nonlinear Systems With Positive Powers of Odd Rational Numbers

IEEE Transactions on Neural Networks and Learning Systems, 2020
This article investigates the adaptive neural network (NN) finite-time output tracking control problem for a class of multi-input and multi-output (MIMO) uncertain nonlinear systems whose powers are positive odd rational numbers.
Yongming Li, Ke-Wen Li, Shaocheng Tong
semanticscholar   +1 more source

Finite Time Controllers

SIAM Journal on Control and Optimization, 1986
Necessary and sufficient conditions are given for the solution of the ordinary differential equation \(d^ 2x/dt^ 2=g(x,\dot x)\) from an initial point \((x_ 0,\dot x_ 0)\in R^ 2\) to arrive at (0,0) in finite time, where \(g(0,0)=0\), and g is C except at (0,0) where it is continuous.
openaire   +2 more sources

Finite-Time Control of a Linear Motor Positioner Using Adaptive Recursive Terminal Sliding Mode

IEEE transactions on industrial electronics (1982. Print), 2020
Payload variations, friction, and external disturbances deteriorate the control performance of linear motor (LM) positioners. To provide high-speed and high-precision performance for the LM, an adaptive recursive terminal sliding-mode (ARTSM) controller ...
Ke Shao   +5 more
semanticscholar   +1 more source

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