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We present a correct-by-design method of state-dependent control synthesis for linear discrete-time switching systems. Given an objective region R of the state space, the method builds a capture set S and a control which steers any element…

Systems and Control · Computer Science 2016-04-07 Adrien Le Coënt , Laurent Fribourg , Nicolas Markey , Florian De Vuyst , Ludovic Chamoin

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

Optimization and Control · Mathematics 2015-05-25 Shigeru Hanba

We consider a class of nonlinear control synthesis problems where the underlying mathematical models are not explicitly known. We propose a data-driven approach to stabilize the systems when only sample trajectories of the dynamics are…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Hyungjin Choi , Umesh Vaidya , Yongxin Chen

This paper investigates a cyber-physical DC microgrid employing a nonlinear distributed consensus-based control scheme for coordinated integration and management of distributed generating units within an expandable framework. Relying on…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

This paper studies a basic model of a dynamical distribution network, where the network topology is given by a directed graph with storage variables corresponding to the vertices and flow inputs corresponding to the edges. We aim at…

Optimization and Control · Mathematics 2014-11-13 Jieqiang Wei , Arjan J. van der Schaft

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

Designing distributed optimal controllers subject to communication constraints is a difficult problem unless structural assumptions are imposed on the underlying dynamics and information exchange structure, e.g., sparsity, delay, or spatial…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Fengjun Yang , Fernando Gama , Somayeh Sojoudi , Nikolai Matni

Structural symmetries of linear dynamical systems can be exploited for decoupling the dynamics and reducing the computational complexity of the controller implementation. However, in practical applications, inexact structural symmetries…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Idris Kempf , Paul Goulart , Stephen Duncan

This work introduces a controller synthesis method via system level synthesis for nonlinear systems characterized by polynomial dynamics. The resulting framework yields finite impulse response, time-invariant, closed-loop transfer functions…

Optimization and Control · Mathematics 2022-09-26 Lauren Conger , Jing Shuang Li , Eric Mazumdar , Steven L. Brunton

The controllability problem for nonlinear control systems with one-dimensional control of the form $ dx/dt=a(x)+B(x)\beta(x,u)$ is considered, where $a(x)$ is an $n$-dimensional vector function, $B(x)$ is an $(n\times m)$-matrix, and…

Optimization and Control · Mathematics 2013-10-14 V. I. Korobov , K. V. Sklyar , V. O. Skoryk

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

Optimization and Control · Mathematics 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints. In the scheme, we explore…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

This paper considers an internal model based distributed control approach to the cooperative output regulation problem of heterogeneous linear time-invariant multiagent systems over fixed directed communication graph topologies. First, a…

Optimization and Control · Mathematics 2019-08-16 Selahattin Burak Sarsilmaz , Tansel Yucelen

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

The modular open-source framework GRAMPC-D for model predictive control of distributed systems is presented in this paper. The modular concept allows to solve optimal control problems (OCP) in a centralized and distributed fashion using the…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Daniel Burk , Andreas Völz , Knut Graichen

In this paper, we propose a new approach to design globally convergent reduced-order observers for nonlinear control systems via contraction analysis and convex optimization. Despite the fact that contraction is a concept naturally suitable…

Optimization and Control · Mathematics 2021-08-17 Bowen Yi , Ruigang Wang , Ian R. Manchester

In this paper, we investigate the problem of unified prescribed performance tracking for a class of non-square strict-feedback nonlinear systems under relaxed controllability conditions. By using a skillful matrix decomposition and…

Systems and Control · Electrical Eng. & Systems 2025-08-15 Bing Zhou , Kai Zhao , Yongduan Song , Zhen Chen

A novel decomposition scheme to solve parametric non-convex programs as they arise in Nonlinear Model Predictive Control (NMPC) is presented. It consists of a fixed number of alternating proximal gradient steps and a dual update per time…

Optimization and Control · Mathematics 2014-12-25 Jean-Hubert Hours , Colin N. Jones

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann
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