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This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadratic performance index to transform the mismatched…

Optimization and Control · Mathematics 2023-06-05 Shichao Lv , Hongdan Li , Kai Peng , Shihua Li , Huanshui Zhang

This manuscript deals with a hierarchical control problem for Oldroyd equation under the Stackelberg-Nash strategy. The Oldroyd equation model is defined by non-regular coefficients, that is, they are bounded measurable functions. We assume…

We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

Optimization and Control · Mathematics 2021-04-19 Lassi Paunonen , Duy Phan

We present a novel method of optimal robust control through quadratic programs that offers tracking stability while subject to input and state-based constraints as well as safety-critical constraints for nonlinear dynamical robotic systems…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Quan Nguyen , Koushil Sreenath

This paper investigates the exact controllability problem for multi-dimensional stochastic first-order symmetric hyperbolic systems with control inputs acting in two distinct ways: an internal control applied to the diffusion term and a…

Optimization and Control · Mathematics 2026-01-27 Zengyu Li , Qi Lü , Yu Wang , Haitian Yang

This paper is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-$\sigma$-algebra of that available to the leader. Such kind of…

Optimization and Control · Mathematics 2015-09-15 Jingtao Shi , Guangchen Wang , Jie Xiong

We consider systems of parabolic equations coupled in zero order terms in a star-like or a tree-like shape, with an internal control acting in only one of the equations. We obtain local exact controllability to the stationary solutions of…

Analysis of PDEs · Mathematics 2021-12-03 Catalin-George Lefter , Elena-Alexandra Melnig

This paper presents a new predictive second order sliding controller (PSSC) formulation for setpoint tracking of constrained linear systems. The PSSC scheme is developed by combining the concepts of model predictive control (MPC) and second…

Systems and Control · Computer Science 2018-02-07 Mohammad Reza Amini , Mahdi Shahbakhti , Jing Sun

Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Michael Ruderman

This paper studies robust tracking control for a leader-follower multi-agent system (MAS) subject to disturbances. A challenging problem is considered here, which differs from those in the literature in two aspects. First, we consider the…

Systems and Control · Computer Science 2019-05-14 Chuan Yan , Huazhen Fang

This paper is addressed to studying the exact controllability for stochastic transport equations by two controls: one is a boundary control imposed on the drift term and the other is an internal control imposed on the diffusion term. By…

Optimization and Control · Mathematics 2013-10-22 Qi Lü

Manipulation of large systems of active particles is a serious challenge across diverse domains, including crowd management, control of robotic swarms, and coordinated material transport. The development of advanced control strategies for…

Robotics · Computer Science 2025-12-15 Albina Klepach , Egor E. Nuzhin , Alexey A. Tsukanov , Nikolay V. Brilliantov

The discrete-time robust repetitive control (RC, or repetitive controller, also designated RC) problem for nonlinear systems is both challenging and practical. This paper proposes a discrete-time output-feedback RC design for a class of…

Systems and Control · Computer Science 2014-01-09 Quan Quan , Lu Jiang , Kai-Yuan Cai

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper investigates the robust nonlinear close formation control problem. It aims to achieve precise position control at dynamic flight operation for a follower aircraft under the aerodynamic impact due to the trailing vortices…

Systems and Control · Computer Science 2019-04-17 Qingrui Zhang , Hugh H. T. Liu

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

Systems and Control · Computer Science 2019-09-26 Luca Furieri , Maryam Kamgarpour

This paper studies the time-varying bearing-based tracking of leader-follower formations. The desired constraints between agents are specified by bearing vectors, and several leaders are moving with a bounded reference velocity. Each…

Multiagent Systems · Computer Science 2021-10-12 Dung Van Vu , Minh Hoang Trinh

Robustness has been extensively studied in reinforcement learning (RL) to handle various forms of uncertainty such as random perturbations, rare events, and malicious attacks. In this work, we consider one critical type of robustness…

Machine Learning · Computer Science 2023-10-27 Wenhao Ding , Laixi Shi , Yuejie Chi , Ding Zhao

This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null controllability with low-regret control. We assume that we can…

Optimization and Control · Mathematics 2022-09-12 Landry Djomegne , Cyrille Kenne , Romario Gildas Foko Tiomela