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We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

Accurate knowledge of the state variables in a dynamical system is critical for effective control, diagnosis, and supervision, especially when direct measurements of all states are infeasible. This paper presents a novel approach to…

Dynamical Systems · Mathematics 2025-07-10 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

This paper proposes a novel sliding mode control (SMC) method for a class of affine dynamic systems. In this type of systems, the high-frequency gain matrix (HFGM), which is the matrix multiplying the control vector in the dynamic equation…

Systems and Control · Computer Science 2018-08-15 Zuren Feng , Ruizhi Sha , Na Lu , Chenlong He

This study proposes a feedback linearisation based on the back-stepping method with simple implementation and unique design process to design a non-linear controller with a goal of improving both steady-state and transient stability. The…

Systems and Control · Computer Science 2013-08-28 E. Babaei , S. A. KH. Mozaffari Niapour , Mehrdad Tabarraie

We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable…

Optimization and Control · Mathematics 2018-03-20 Peter Benner , Tim Mitchell , Michael L. Overton

This brief aims at the issue of globally composite-learning-based neural fast finite-time (F-FnT) tracking control for a class of uncertain systems in strict-feedback form subject to nonlinearly periodic disturbances. First, uncertain…

Systems and Control · Electrical Eng. & Systems 2023-09-22 Xidong Wang , Zhan Li , Zhen He

Predictor-based stabilization results are provided for nonlinear systems with input delays and a compact absorbing set. The control scheme consists of an inter-sample predictor, a global observer, an approximate predictor, and a nominal…

Optimization and Control · Mathematics 2013-06-17 Iasson Karafyllis , Miroslav Krstic , Tarek Ahmed-Ali , Francoise Lamnabhi-Lagarrigue

This paper proposes a data-driven approach to design a feedforward Neural Network (NN) controller with a stability guarantee for plants with unknown dynamics. We first introduce data-driven representations of stability conditions for Neural…

Optimization and Control · Mathematics 2024-10-14 Zuxun Xiong , Han Wang , Liqun Zhao , Antonis Papachristodoulou

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

Systems and Control · Computer Science 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

This paper presents a new data-driven control for multi-input, multi-output nonlinear systems with partially unknown dynamics and bounded disturbances. Since exact nonlinearity cancellation is not feasible with unknown disturbances, we…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Jianglin Lan , Xianxian Zhao , Congcong Sun

Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

This paper presents the modeling, control design, and performance analysis of a Magnetic Ball Suspension System (MBSS), a nonlinear and inherently unstable electromechanical system used in various precision applications. The system's…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Sampson E. Nwachukwu

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

Adaptation and Self-Organizing Systems · Physics 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

This paper presents an adaptive control approach for uncertain nonlinear systems subject to safety constraints that allows for modularity in the selection of the parameter estimation algorithm. Such modularity is achieved by unifying the…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Max Cohen , Calin Belta

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 introduces a decentralized estimator-based safety-critical controller designed for formation control of non-holonomic mobile robots operating in communication-constrained environments. The proposed framework integrates a robust…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Vishrut Bohara , Siavash Farzan

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

This paper proposes a control strategy consisting of a robust controller and an Echo State Network (ESN) based control law for stabilizing a class of uncertain nonlinear discrete-time systems subject to persistent disturbances. Firstly, the…

Systems and Control · Electrical Eng. & Systems 2024-10-31 A. Banderchuk , D. Coutinho , E. Camponogara

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra