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Capturing disused satellites in orbit and their controlled reentry is the aim of the DEOS space mission. Satellites that ran out of fuel or got damaged pose a threat to working projects in orbit. Additionally, the reentry of such objects…

最优化与控制 · 数学 2012-04-02 Johannes Michael , Kurt Chudej , Jürgen Pannek

In this work, a result of exponential stability is obtained for solutions of a compressible flow-structure partial differential equation (PDE) model which has recently appeared in the literature. In particular, a compressible flow PDE and…

偏微分方程分析 · 数学 2017-12-11 George Avalos , Pelin G. Geredeli

This paper is concerned with exponential stability of a class of infinite dimensional coupled systems. It is proved that under some admissibility conditions, the considered infinite dimensional coupled system is governed by a…

最优化与控制 · 数学 2019-12-02 Zhan-Dong Mei

In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation. We distinguish two cases. In the first one, when the…

偏微分方程分析 · 数学 2021-01-25 Stéphane Gerbi , Chiraz Kassem , Amina Mortada , Ali Wehbe

In this paper, we design an output-feedback controller to stabilize n +m hetero-directional transport partial differential equations (PDEs) coupled on both domain boundaries to ordinary differential equations (ODEs). This class of systems…

偏微分方程分析 · 数学 2024-06-17 Jean Auriol , Federico Bribiesca Argomedo

This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. The satellite is modeled as a rigid body subject to…

最优化与控制 · 数学 2024-08-02 Yevgeniia Yevgenieva , Alexander Zuyev , Julia Kalosha

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal delay subject to stochastic error disturbance. The…

最优化与控制 · 数学 2024-01-22 Dandan Guan , Jie Qi , Mamadou Diagne

The problem of finding the set of all multi-model robust PID and three-term stabilizers for discrete-time systems is solved in this paper. The method uses the fact that decoupling of parameter space at singular frequencies is invariant…

系统与控制 · 计算机科学 2013-03-05 Naim Bajcinca

Exponential stability of the second order linear delay differential equation in $x$ and $u$-control $$ \ddot{x}(t)+a_1(t)\dot{x}(h_1(t))+a_2(t)x(h_2(t))+a_3(t)u(h_3(t))=0 $$ is studied, where indirect feedback control…

动力系统 · 数学 2022-06-14 Leonid Berezansky , Elena Braverman

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

The five libration points of a sun-planet system are stable or unstable fixed positions at which satellites or asteroids can remain fixed relative to the two orbiting bodies. A moon orbiting around the planet causes a time-dependent…

地球与行星天体物理 · 物理学 2021-10-15 Johannes Reiff , Jonas C. J. Zatsch , Jörg Main , Rigoberto Hernandez

Soft actuators offer compliant and safe interaction with an unstructured environment compared to their rigid counterparts. However, control of these systems is often challenging because they are inherently under-actuated, have infinite…

机器人学 · 计算机科学 2024-02-06 Sean Even , Tongjia Zheng , Hai Lin , Yasemin Ozkan-Aydin

In this paper, we consider the wave equation with both a viscous Kelvin-Voigt and frictional damping as a model of viscoelasticity in which we incorporate an internal control with a moving support. We prove the null controllability when the…

最优化与控制 · 数学 2013-03-15 Felipe W. Chaves-Silva , Lionel Rosier , Enrique Zuazua

The plants of nano air vehicles (NAVs) are generally unstable, adversely coupled, and uncertain. Besides, the autopilot hardware of a NAV has limited sensing and computational capabilities. Hence, these vehicles need a single controller…

系统与控制 · 电气工程与系统科学 2020-09-04 Jinraj V. Pushpangathan , Harikumar Kandath , Suresh Sundaram

We provide a partially affirmative answer to the following question on robustness of polynomial stability with respect to sampling: ``Suppose that a continuous-time state-feedback controller achieves the polynomial stability of the…

最优化与控制 · 数学 2023-07-31 Masashi Wakaiki

Assurance of asymptotic trajectory tracking in robotic manipulators with a smooth control law in the presence of unmodeled dynamics or external disturbance is a challenging problem. Recently, it is asserted that it is achieved via a…

机器人学 · 计算机科学 2022-05-17 M. Reza J. Harandi

Passivity-based control is a cornerstone of control theory and an established design approach in robotics. Its strength is based on the passivity theorem, which provides a powerful interconnection framework for robotics. However, the design…

机器人学 · 计算机科学 2025-12-09 Daniel Larby , Fulvio Forni

Robust control design is mainly devoted to guarantee closed-loop stability of a model-based control law in presence of parametric and structural uncertainties. The control law is usually a complex feedback law which is derived from a…

系统与控制 · 计算机科学 2011-08-12 Enrico Canuto , Wilber Acuna-Bravo , Andrés Molano-Jimenez , José Ospina , Carlos Perez-Montenegro

This paper discusses the stability of an equilibrium point of an ordinary differential equation (ODE) arising from a feed-forward position control for a musculoskeletal system. The studied system has a link, a joint and two muscles with…

动力系统 · 数学 2019-04-30 Takahiro Kosugi , Hitoshi Kino , Masaaki Goto , Yuki Matsutani

Although the stabilization of underactuated systems remains a challenging problem, the total energy shaping approach provides a general framework for addressing this objective. However, the practical implementation of this method is…

系统与控制 · 电气工程与系统科学 2026-05-12 M. Reza J. Harandi , Mehrzad Namvar