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This paper considers the problem of regulating a linear dynamical system to the solution of a convex optimization problem with an unknown or partially-known cost. We design a data-driven feedback controller - based on gradient flow dynamics…

最优化与控制 · 数学 2022-04-05 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

We investigate the regulator problem (tracking and disturbance rejection) for a system (plant) described by a boundary controlled anti-stable linear one-dimensional Schrodinger equation, using the backstepping approach. The output to be…

最优化与控制 · 数学 2021-12-14 Hua-Cheng Zhou , George Weiss

The paper considers the suboptimal H-infinity control problem for a general discrete-time system (whose transfer function matrix is allowed to be improper or polynomial). The parametrization of output feedback controllers is given in a…

最优化与控制 · 数学 2014-03-31 Sebastian F. Tudor , Cristian Oara , Serban Sabau

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

The performance, reliability, cost, size and energy usage of computing systems can be improved by one or more orders of magnitude by the systematic use of modern control and optimization methods. Computing systems rely on the use of…

系统与控制 · 计算机科学 2017-10-13 Eric C. Kerrigan

The continuous-time analysis of existing iterative algorithms for optimization has a long history. This work proposes a novel continuous-time control-theoretic framework for equality-constrained optimization. The key idea is to design a…

最优化与控制 · 数学 2026-02-02 V. Cerone , S. M. Fosson , S. Pirrera , D. Regruto

In this paper, we address two minimal controllability problems, where the goal is to determine a minimal subset of state variables in a linear time-invariant system to be actuated to ensure controllability under additional constraints.…

最优化与控制 · 数学 2016-04-20 Sergio Pequito , Guilherme Ramos , Soummya Kar , A. Pedro Aguiar , Jaime Ramos

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

In this work, we introduce a novel gradient descent-based approach for optimizing control systems, leveraging a new representation of stable closed-loop dynamics as a function of two matrices i.e. the step size or direction matrix and value…

最优化与控制 · 数学 2024-09-18 Ramin Esmzad , Hamidreza Modares

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

系统与控制 · 电气工程与系统科学 2025-12-01 Dongdong Li , Jiuxiang Dong

We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an…

最优化与控制 · 数学 2018-01-03 Matthias Rungger , Paulo Tabuada

This paper explores the decentralized control of linear deterministic systems in which different controllers operate based on distinct state information, and extends the findings to the output feedback scenario. Assuming the controllers…

最优化与控制 · 数学 2024-09-09 Hongdan Li , Yawen Sun , Huanshui Zhang

We consider the design of state feedback control laws for both the switching signal and the continuous input of an unknown switched linear system, given past noisy input-state trajectories measurements. Based on Lyapunov-Metzler…

最优化与控制 · 数学 2025-06-05 Mattia Bianchi , Sergio Grammatico , Jorge Cortés

In this work, we present a problem of simultaneous input-output feedback linearization and decoupling (non-interacting) for mechanical control systems with outputs. We show that the natural requirement of preserving mechanical structure of…

最优化与控制 · 数学 2024-06-25 Marcin Nowicki , Witold Respondek

We present a procedure to simultaneously design the output feedback law and the event-triggering condition to stabilize linear systems. The closed-loop system is shown to satisfy a global asymptotic stability property and the existence of a…

系统与控制 · 计算机科学 2014-08-27 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz , Dragan Nešić

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

最优化与控制 · 数学 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

This paper considers the linear-quadratic dual control problem where the system parameters need to be identified and the control objective needs to be optimized in the meantime. Contrary to existing works on data-driven linear-quadratic…

系统与控制 · 电气工程与系统科学 2021-11-22 Yiwen Lu , Yilin Mo

We consider the $\mathbb{H}_2$-optimal feedback control problem, for the case in which the plant is passive with bounded $\mathbb{L}_2$ gain, and the feedback law is constrained to be output-strictly passive. In this circumstance, we show…

最优化与控制 · 数学 2025-05-19 J. T. Scruggs

We study the problem of controlling oscillations in closed loop by combining positive and negative feedback in a mixed configuration. We develop a complete design procedure to set the relative strength of the two feedback loops to achieve…

系统与控制 · 电气工程与系统科学 2021-09-08 W. Che , F. Forni

This paper presents a control technique for output tracking of reference signals in continuous-time dynamical systems. The technique is comprised of the following three elements: (i) output prediction which has to track the reference…

最优化与控制 · 数学 2019-10-03 Yorai Wardi , Carla Seatzu , Jorge Cortes , Magnus Egerstedt , Shashwat Shivam , Ian Buckley