Stabilization for a perturbed chain of integrators in prescribed time

Y Chitour, R Ushirobira, H Bouhemou - SIAM Journal on Control and …, 2020 - SIAM
In this paper, we consider issues relative to prescribed-time stabilization of a chain of
integrators of arbitrary length, either pure (ie, where there is no disturbance) or perturbed. In …

Global Exponential Stabilization and Global Lp Performance of a Saturated Double Integrator

L Martins, C Cardeira, P Oliveira - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
This letter presents novel results on the simultaneous global internal and external
stabilization problem for the double integrator controlled by a saturated static state linear …

Dual-mode global stabilization of high-order saturated integrator chains: LMI-based MPC combined with a nested saturated feedback

S Adelipour, B Ahi, M Haeri - Nonlinear Dynamics, 2020 - Springer
This paper considers the problem of high-performance global stabilization of an integrator
chain via a bounded control at the presence of input disturbance. While nested saturated …

Global Finite Time Stabilization of SISO Hurwitz Linear Systems Subject to Actuator Saturation: The Case of Real Eigenvalues

T Hou, Y Li, Z Lin - 2024 American Control Conference (ACC), 2024 - ieeexplore.ieee.org
This paper considers the global finite time stabilization of linear systems subject to actuator
saturation. We show that a controllable SISO system whose eigenvalues are real and …

Global Finite-Time Stabilization for a Chain of Integrators in the Presence of Actuator Saturation by Homogeneous Feedback

T Hou, Y Li, Z Lin - 2023 62nd IEEE Conference on Decision …, 2023 - ieeexplore.ieee.org
This paper considers the problem of globally stabilizing a chain of integrators with actuator
saturation in finite time. The proposed method is adapted from an existing scheduled low …

Global stabilization of classes of linear control systems with bounds on the feedback and its successive derivatives

J Laporte, A Chaillet, Y Chitour - Systems & Control Letters, 2017 - Elsevier
In this paper, we address the problem of globally stabilizing a linear time-invariant (LTI)
system by means of a static feedback law whose amplitude and successive time derivatives …

[PDF][PDF] Global exponential stabilization and global Lp performance of

L Martins, C Cardeira, P Oliveira - 2024 - css.paperplaza.net
This paper presents novel results on the simultaneous global internal and external
stabilization problem for the double integrator controlled by a saturated static state linear …

On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations

S Marx, Y Chitour, C Prieur - arxiv preprint arxiv:1711.05024, 2017 - arxiv.org
-This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional
linear systems subject to saturations. Two cases are considered: 1) the saturation acts in the …

Global stabilization of linear systems with bounds on the feedback and its successive derivatives

J Laporte, A Chaillet, Y Chitour - SIAM Journal on Control and Optimization, 2017 - SIAM
We address the global stabilization of linear time-invariant (LTI) systems when the
magnitude of the control input and its successive time derivatives, up to an arbitrary order …

Stabilization of a perturbed chain of integrators in prescribed time

Y Chitour, R Ushirobira - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
In this work, we study issues of prescribed time stabilization of a chain of integrators of
arbitrary length, that can be either pure (ie with no disturbance) or perturbed. In the first part …