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We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines…

Optimization and Control · Mathematics 2018-10-10 Liam S. P. Lawrence , Zachary E. Nelson , Enrique Mallada , John W. Simpson-Porco

This paper studies the control of safety-critical dynamical systems in the presence of adversarial disturbances. We seek to synthesize state-feedback controllers to minimize a cost incurred due to the disturbance, while respecting a safety…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Bhaskar Ramasubramanian , Baicen Xiao , Linda Bushnell , Radha Poovendran

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…

Optimization and Control · Mathematics 2024-06-25 Marcin Nowicki , Witold Respondek

In this paper, we consider the problem of synthesizing correct-by-construction controllers for discrete-time dynamical systems. A commonly adopted approach in the literature is to abstract the dynamical system into a Finite Transition…

Systems and Control · Computer Science 2016-11-17 Robert Mattila , Yilin Mo , Richard M. Murray

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through…

Analysis of PDEs · Mathematics 2017-10-20 Pierre-Olivier Lamare , Jean Auriol , Florent Di Meglio , Ulf Jakob F. Aarsnes

This paper provides a protocol to address the robust output feedback consensus problem for networked heterogeneous nonlinear negative-imaginary (NI) systems with free body dynamics. We extend the definition of nonlinear NI systems to allow…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

We present an optimization-based framework for analysis and control of linear parabolic partial differential equations (PDEs) with spatially varying coefficients without discretization or numerical approximation. For controller synthesis,…

Systems and Control · Computer Science 2016-09-06 Aditya Gahlawat , Matthew M. Peet

This paper presents a continuous-time output feedback adaptive control technique for stabilization and tracking control problems. The adaptive controller is motivated by the classical discrete-time retrospective cost adaptive control…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Mohammad Mirtaba , Ankit Goel

The control algebraic Riccati equation is studied for a class of systems with unbounded control and observation operators. Using a dichotomy property of the associated Hamiltonian operator matrix, two invariant graph subspaces are…

Functional Analysis · Mathematics 2019-07-15 Christian Wyss

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

Optimization and Control · Mathematics 2015-04-29 Christopher Nielsen

The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential…

Optimization and Control · Mathematics 2022-05-31 Tobias Holicki , Carsten W. Scherer

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

This paper addresses the problem of data-driven computation of controllers that are correct by design for safety-critical systems and can provably satisfy (complex) functional requirements. With a focus on continuous-space stochastic…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

This paper deals with suboptimal distributed H2 control by dynamic output feedback for homogeneous linear multi-agent systems. Given a linear multi-agent system, together with an associated H2 cost functional, the objective is to design…

Optimization and Control · Mathematics 2020-01-22 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

The problem of controlling surge and stall in jet engine compressors is of fundamental importance in preventing damage and lengthening the life of these components. In this paper, we use the Moore-Greitzer mathematical model to develop an…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino

This paper studies the problem of constructing control Lyapunov functions (CLFs) and feedback stabilization strategies for deterministic nonlinear control systems described by ordinary differential equations. Many numerical methods for…

Optimization and Control · Mathematics 2024-09-23 Ivan Yegorov , Peter M. Dower , Lars Grüne

Output feedback control design for linear time-invariant systems in the presence of sporadic measurements and exogenous perturbations is addressed. To cope with the sporadic availability of measurements of the output, a hybrid dynamic…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Roberto Merco , Francesco Ferrante , Ricardo G. Sanfelice , Pierluigi Pisu

System level synthesis is a promising approach that formulates structured optimal controller synthesis problems as convex problems. This work solves the distributed linear-quadratic regulator problem under communication constraints directly…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Olle Kjellqvist , Jing Yu