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We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

This paper presents a new data-driven robust predictive control law, for linear systems affected by unknown-but-bounded process disturbances. A sequence of input-state data is used to construct a suitable uncertainty representation based on…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Renato Quartullo , Andrea Garulli , Mirko Leomanni

Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the trajectory tracking and stabilization problems. This…

Optimization and Control · Mathematics 2023-10-31 Victoria Grushkovskaya , Alexander Zuyev

We consider the problem of synthesizing a dynamic output-feedback controller for a linear system, using solely input-output data corrupted by measurement noise. To handle input-output data, an auxiliary representation of the original system…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Lidong Li , Andrea Bisoffi , Claudio De Persis , Nima Monshizadeh

Discrete-time models are very convenient to simulate a nonlinear system on a computer. In order to build the discrete-time simulation models for the nonlinear feedback systems (which is a very important class of systems in many…

Systems and Control · Computer Science 2018-05-15 Rishi Relan , Johan Schoukens

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

This paper develops a data-based approach to the closed-loop output feedback control of nonlinear dynamical systems with a partial nonlinear observation model. We propose an information state based approach to rigorously transform the…

Robotics · Computer Science 2023-10-06 Raman Goyal , Ran Wang , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

Nonlinear, adaptive, or otherwise complex control techniques are increasingly relied upon to ensure the safety of systems operating in uncertain environments. However, the nonlinearity of the resulting closed-loop system complicates…

Systems and Control · Computer Science 2018-01-17 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

In this paper, a novel robust tracking control scheme for a general class of discrete-time nonlinear systems affected by unknown bounded uncertainty is presented. By solving a parameterized optimal tracking control problem subject to the…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Alexandros Tanzanakis , John Lygeros

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the control input and the measured output are located on the…

Analysis of PDEs · Mathematics 2019-04-30 Vincent Andrieu , Ngoc-Tu Trinh , Cheng-Zhong Xu

We develop data-driven reinforcement learning (RL) control designs for input-affine nonlinear systems. We use Carleman linearization to express the state-space representation of the nonlinear dynamical model in the Carleman space, and…

Systems and Control · Electrical Eng. & Systems 2024-08-09 Jishnudeep Kar , He Bai , Aranya Chakrabortty

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

This paper proposes a new framework and several results to quantify the performance of data-driven state-feedback controllers for linear systems against targeted perturbations of the training data. We focus on the case where subsets of the…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Rajasekhar Anguluri , Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state-dependent uncertainties of unknown structure. Since the structure of…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velasquez , Girish Chowdhary

Control of systems where the information between the controller, actuator, and sensor can be lost or delayed can be challenging with respect to stability and performance. One way to overcome the resulting problems is the use of prediction…

Optimization and Control · Mathematics 2011-09-27 Rolf Findeisen , Lars Grüne , Jürgen Pannek , Paolo Varutti

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

The paper [TF19] proposes a data-driven control technique for single-input single-output feedback linearizable systems with unknown control gain by relying on a persistency of excitation assumption. This note extends those results by…

Systems and Control · Electrical Eng. & Systems 2019-09-05 Paulo Tabuada , Lucas Fraile

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

This paper proposes a novel approach to addressing the output synchronization problem in unknown heterogeneous multi-agent systems (MASs) using noisy data. Unlike existing studies that focus on noiseless data, we introduce a distributed…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Yifei Li , Wenjie Liu , Jian Sun , Gang Wang , Lihua Xie , Jie Chen

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer
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