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This paper presents the design and robustness analysis of fractional and integer order PID controllers for the control of a non-linear industrial process in the presence of parametric uncertainness and external disturbances. The nonlinear…

Systems and Control · Computer Science 2018-10-31 J. Viola , L. Angel

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

The complexity of modern control systems necessitates architectures that achieve high performance while ensuring robust stability, particularly for nonlinear systems. In this work, we tackle the challenge of designing output-feedback…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Clara Lucía Galimberti , Luca Furieri , Giancarlo Ferrari-Trecate

We introduce a method for controlling systems with nonlinear dynamics and full actuation by approximating the dynamics with polynomials and applying a system level synthesis controller. We show how to optimize over this class of controllers…

Optimization and Control · Mathematics 2023-06-09 Lauren Conger , Syndey Vernon , Eric Mazumdar

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

Optimization and Control · Mathematics 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

Stability certification and identifying a safe and stabilizing initial set are two important concerns in ensuring operational safety, stability, and robustness of dynamical systems. With the advent of machine-learning tools, these issues…

Machine Learning · Computer Science 2022-09-01 Soumyabrata Talukder , Ratnesh Kumar

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

Reference tracking is a key objective in many control systems, including those characterized by complex nonlinear dynamics. In these settings, traditional control approaches can effectively ensure steady-state accuracy but often struggle to…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Nicolas Kirsch , Leonardo Massai , Giancarlo Ferrari-Trecate

This paper presents an anti-windup PI controller, using a saturating integrator, for a single-input single-output stable nonlinear plant, whose steady-state input-output map is increasing. We prove that, under reasonable assumptions, there…

Optimization and Control · Mathematics 2021-07-02 Pietro Lorenzetti , George Weiss

Modern automation systems rely on closed loop control, wherein a controller interacts with a controlled process, based on observations. These systems are increasingly complex, yet most controllers are linear Proportional-Integral-Derivative…

Machine Learning · Computer Science 2021-01-27 Johannes Günther , Elias Reichensdörfer , Patrick M. Pilarski , Klaus Diepold

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

This paper is concerned with the design of a distributed cooperative synchronization controller for a class of higher-order nonlinear multi-agent systems. The objective is to achieve synchronization and satisfy a predefined time-based…

Optimization and Control · Mathematics 2022-02-28 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

The control of large-scale cyber-physical systems requires optimal distributed policies relying solely on limited communication with neighboring agents. However, computing stabilizing controllers for nonlinear systems while optimizing…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Muhammad Zakwan , Giancarlo Ferrari-Trecate

This paper investigates transient performance of inverter-based microgrids in terms of the resistive power losses incurred in regulating frequency under persistent stochastic disturbances. We model the inverters as second-order oscillators…

Optimization and Control · Mathematics 2016-03-22 Emma Tegling , Martin Andreasson , John W. Simpson-Porco , Henrik Sandberg

This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large…

Optimization and Control · Mathematics 2018-10-30 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

PI controllers are the most widespread type of controllers and there is an intuitive understanding that if their gains are sufficiently small and of the correct sign, then they always work. In this paper we try to give some rigorous backing…

Optimization and Control · Mathematics 2021-01-14 George Weiss , Vivek Natarajan

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

This paper concerns control of a class of systems where multiple dynamically stable agents share a nonlinear and bounded control-interconnection. The agents are subject to a disturbance which is too large to reject with the available…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Felix Agner , Anders Rantzer