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This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

最优化与控制 · 数学 2023-07-07 Bin Hu , Yang Zheng

Closing feedback loops fast and over long distances is key to emerging cyber-physical applications; for example, robot motion control and swarm coordination require update intervals of tens of milliseconds. Low-power wireless communication…

系统与控制 · 电气工程与系统科学 2019-09-25 Dominik Baumann , Fabian Mager , Romain Jacob , Lothar Thiele , Marco Zimmerling , Sebastian Trimpe

There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that is as simple as possible may be a challenge. The Riccati…

最优化与控制 · 数学 2019-06-26 Emmanuel Trélat , Gengsheng Wang , Yashan Xu

It is a known fact that not all controllable systems can be asymptotically stabilized by a continuous static feedback. Several approaches have been developed throughout the last decades, including time-varying, dynamical and even…

最优化与控制 · 数学 2018-06-25 Pavel Osinenko , Lukas Beckenbach , Stefan Streif

Feedback stabilization of an ensemble of non interacting half spins described by Bloch equations is considered. This system may be seen as a prototype for infinite dimensional systems with continuous spectrum. We propose an explicit…

最优化与控制 · 数学 2012-02-27 Karine Beauchard , Paulo Sergio Pereira da Silva , Pierre Rouchon

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and m leftward convecting transport PDEs. Using the backstepping approach yields solutions to…

偏微分方程分析 · 数学 2015-12-24 Jean Auriol , Florent Di Meglio

Firstly, a new state feedback model reference adaptive control approach is developed for uncertain systems with gain scheduled reference models in a multi-input multi-output (MIMO) setting. Specifically, adaptive state feedback for output…

最优化与控制 · 数学 2014-03-18 Mehrdad Pakmehr , Tansel Yucelen

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

动力系统 · 数学 2016-04-26 Jan Sieber

This paper proposes an event-triggered boundary control for the safe stabilization of the Stefan PDE system with actuator dynamics. The control law is designed by applying Zero-Order Hold (ZOH) to the continuous-time safe stabilizing…

最优化与控制 · 数学 2022-10-05 Shumon Koga , Cenk Demir , Miroslav Krstic

This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store. The wing dynamics is captured by a distributed parameter…

最优化与控制 · 数学 2018-08-29 Hugo Lhachemi , David Saussié , Guchuan Zhu

This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can…

In this paper, we present an impedance control design for multi-variable linear and nonlinear robotic systems. The control design considers force and state feedback to improve the performance of the closed loop. Simultaneous feedback of…

机器人学 · 计算机科学 2020-10-27 Alejandro Donaire , Luigi Villani , Fanny Ficuciello , Juan Tomassini , Bruno Siciliano

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

最优化与控制 · 数学 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

最优化与控制 · 数学 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

Safe derivative-free optimization under unknown constraints is a fundamental challenge in modern learning and control. Existing zeroth-order (ZO) methods typically still assume access to a first-order oracle of the constraint functions or…

最优化与控制 · 数学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Due to unbounded input operators in partial differential equations (PDEs) with boundary inputs, there has been a long-held intuition that input-to-state stability (ISS) properties and finite gains cannot be established with respect to…

最优化与控制 · 数学 2015-05-26 Iasson Karafyllis , Miroslav Krstic

We introduce a control design and analysis framework for micro-macro, boundary control of large-scale, $n+m$ hyperbolic PDE systems. Specifically, we develop feedback laws for stabilization of hyperbolic systems at the micro level (i.e., of…

最优化与控制 · 数学 2025-10-15 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time…

系统与控制 · 计算机科学 2014-09-10 Ahmet Cetinkaya , Tomohisa Hayakawa

The paper provides results for the stabilization of a spatially uniform equilibrium profile for a scalar conservation law that arises in the study of traffic dynamics under variable speed limit control. Two different control problems are…

最优化与控制 · 数学 2018-02-26 Iasson Karafyllis , Markos Papageorgiou

In this paper, we study the control of the linear heat equation with a space and time dependent coefficient function by the Dirichlet and Neumann boundary control laws. This equation models the heat diffusion and space, time dependent heat…

最优化与控制 · 数学 2007-05-23 Junji Jia