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This paper presents a scheme to design a tracking controller for a class of uncertain nonlinear systems using a robust feedback linearization approach. The scheme is composed of two steps. In the first step, a linearized uncertainty model…

Systems and Control · Computer Science 2012-03-01 Obaid Ur Rehman , Ian R. Petersen , Barıs Fidan

In the development of model predictive controllers for PDE-constrained problems, the use of reduced order models is essential to enable real-time applicability. Besides local linearization approaches, Proper Orthogonal Decomposition (POD)…

Optimization and Control · Mathematics 2020-12-15 Sebastian Peitz , Stefan Klus

The design of direct data-based controllers has become a fundamental part of control theory research in the last few years. In this paper, we consider three classes of data-based state feedback control problems for linear systems. These…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Victor G. Lopez , Matthias A. Müller

In this paper, we provide a systematic approach for the design of stabilizing feedback controllers for nonlinear control systems using the Koopman operator framework. The Koopman operator approach provides a linear representation for a…

Optimization and Control · Mathematics 2018-10-02 Bowen Huang , Xu Ma , Umesh Vaidya

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

Robust output regulation for linear time-varying systems has remained an open problem for decades. To address this, we propose the trajectory-matching system immersion framework, by reformulating the regulator equation into a more…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Jinmeng Zha , Zhen Zhang

The plants of nano air vehicles (NAVs) are generally unstable, adversely coupled, and uncertain. Besides, the autopilot hardware of a NAV has limited sensing and computational capabilities. Hence, these vehicles need a single controller…

Systems and Control · Electrical Eng. & Systems 2020-09-04 Jinraj V. Pushpangathan , Harikumar Kandath , Suresh Sundaram

A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions especially with regard to the possible occurrence of the…

Optimization and Control · Mathematics 2017-09-07 Robert Vrabel

Infinite-time nonlinear optimal regulation control is widely utilized in aerospace engineering as a systematic method for synthesizing stable controllers. However, conventional methods often rely on linearization hypothesis, while recent…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Han Wang , Di Wu , Lin Cheng , Shengping Gong , Xu Huang

This paper studies the problem of output agreement in networks of nonlinear dynamical systems under time-varying disturbances, using dynamic diffusive couplings. Necessary conditions are derived for general networks of nonlinear systems,…

Systems and Control · Computer Science 2013-12-02 Mathias Bürger , Claudio De Persis

Linear quadratic regulator with unmeasurable states and unknown system matrix parameters better aligns with practical scenarios. However, for this problem, balancing the optimality of the resulting controller and the leniency of the…

Optimization and Control · Mathematics 2025-09-04 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

This paper develops a data-driven safe control framework for linear systems possessing a known strict-feedback structure, but with most plant parameters, external disturbances, and input delay being unknown. By leveraging Koopman operator…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Zhenxu Zhao , Ji Wang , Weiyao Lan

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

In this paper we study the problem of computing minimum-energy controls for linear systems from experimental data. The design of open-loop minimum-energy control inputs to steer a linear system between two different states in finite time is…

Optimization and Control · Mathematics 2019-05-01 Giacomo Baggio , Vaibhav Katewa , Fabio Pasqualetti

This paper solves the robust hybrid output regulation problem for arbitrary uncertain hybrid MIMO linear systems with periodic jumps without the restrictive assumptions used in all previous works on the subject. A necessary condition for…

Systems and Control · Computer Science 2019-03-04 Giovanni de Carolis , Sergio Galeani , Mario Sassano

We consider the monotonic tracking control problem for continuous-time single-input single-output linear systems using output-feedback linear controllers in this paper. We provide the necessary and sufficient conditions for this problem to…

Optimization and Control · Mathematics 2026-05-12 Hamed Taghavian

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

In this paper, the moment matching techniques are adopted to obtain reduced-order closed-loop systems with reduced-order controllers that maintain the closed-loop stability and guarantee desired asymptotic performance, after revealing the…

Optimization and Control · Mathematics 2024-05-06 Tudor C. Ionescu

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-06 Elyar Zavary , Mahdi Sojoodi