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Design of optimal distributed linear feedback controllers to achieve a desired aggregate behavior, while simultaneously satisfying state and input constraints, is a challenging but important problem in many applications. System level…

Optimization and Control · Mathematics 2022-11-07 Panagiotis D. Grontas , Michael W. Fisher , Florian Dörfler

We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PDE to represent delayed actuator states, the system is…

Analysis of PDEs · Mathematics 2023-07-11 Shanshan Wang , Jie Qi , Miroslav Krstic

This paper presents an optimal dynamic control framework for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations affected by both state and process noise. Rather than directly stabilizing the uncertain system,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mohammad Khajenejad

A theory of dynamical control by modulation for optimal decoherence reduction is developed. It is based on the non-Markovian Euler-Lagrange equation for the energy-constrained field that minimizes the average dephasing rate of a qubit for…

Quantum Physics · Physics 2008-08-14 Goren Gordon , Gershon Kurizki , Daniel A. Lidar

In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized $p$-Laplace equation. To this end, a reduced unconstrained optimization problem in terms of the control variable is…

Numerical Analysis · Mathematics 2020-06-29 Bernhard Endtmayer , Ulrich Langer , Ira Neitzel , Winnifried Wollner , Thomas Wick

Non-collocated vibration absorption (NCVA) concept using delayed resonator for in-situ tuning is analyzed and experimentally validated. There are two critical contributions of this work. One is on the scalable analytical pathway for…

Systems and Control · Electrical Eng. & Systems 2025-04-03 Matěj Kuře , Adam Peichl , Jaroslav Bušek , Nejat Olgac , Tomáš Vyhlídal

This paper considers the backstepping design of state feedback controllers for coupled linear parabolic partial integro-differential equations (PIDEs) of Volterra-type with distinct diffusion coefficients, spatially-varying parameters and…

Optimization and Control · Mathematics 2017-12-25 Joachim Deutscher , Simon Kerschbaum

This paper proposes a robust self-triggered distributed model predictive control (DMPC) scheme for a family of Discrete-Time linear systems with local (uncoupled) and global (coupled) constraints. To handle the additive disturbance,…

Systems and Control · Electrical Eng. & Systems 2020-12-17 Zhengcai Li

Soft robots can execute tasks with safer interactions. However, control techniques that can effectively exploit the systems' capabilities are still missing. Differential dynamic programming (DDP) has emerged as a promising tool for…

This paper considers the problem of controlling a dynamical system when the state cannot be directly measured and the control performance metrics are unknown or partially known. In particular, we focus on the design of data-driven…

Optimization and Control · Mathematics 2023-09-01 Liliaokeawawa Cothren , Gianluca Bianchin , Emiliano Dall'Anese

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

Robotics · Computer Science 2024-09-04 Swati Dantu

In this paper, we study the cooperative output regulation problem for the discrete linear time-delay multi-agent systems by distributed observer approach. In contrast with the same problem for continuous-time linear time-delay multi-agent…

Optimization and Control · Mathematics 2015-12-15 Yamin Yan , Jie Huang

This paper addresses the challenge of coordinating multi-robot systems under realistic communication delays using distributed optimization. We focus on consensus ADMM as a scalable framework for generating collision-free, dynamically…

In this paper an artificial delay based impedance controller is proposed for robotic manipulators with uncertainty in dynamics. The control law unites the time delayed estimation (TDE) framework with a second order switching controller of…

Robotics · Computer Science 2022-08-23 Udayan Banerjee , Bhabani Shankar Dey , Indra Narayan Kar , Subir Kumar Saha

The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time delay. To overcome destabilizing effects of the time delay,…

Optimization and Control · Mathematics 2025-11-21 Karl Kunisch , Sérgio S. Rodrigues

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan

This paper addresses the dynamic event-triggered control for a class of discrete-time nonlinear systems described by a difference-algebraic representation (DAR), using a gain-scheduled controller. An outstanding aspect of the proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Vitoriano Casas , Gabriela Reis , Pedro Henrique Coutinho , Iury Bessa , Rodrigo Araújo

We demonstrate the first successful non-invasive stabilisation of nonlinear travelling waves in a straight cylindrical pipe using time-delayed feedback control (TDF) working in various symmetry subspaces. By using an approximate linear…

Fluid Dynamics · Physics 2025-02-19 Tatsuya Yasuda , Dan Lucas

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

Optimization and Control · Mathematics 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin