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The integration of converter-interfaced generation introduces new transient stability challenges to modern power systems. Classical Lyapunov- and scalable passivity-based approaches typically rely on restrictive assumptions, and finding…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Yifei Wang , Han Wang , Kehao Zhuang , Keith Moffat , Florian Dörfler

As renewable energy sources become more prevalent, accurately modeling power grid dynamics is becoming increasingly more complex. Concurrently, data acquisition and realtime system state monitoring are becoming more available for control…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Muhammad Nadeem , MirSaleh Bahavarnia , Ahmad F. Taha

This paper presents some physical interpretations of recent stability results on the feedback interconnection of negative imaginary systems. These interpretations involve spring mass damper systems coupled together by springs or RLC…

Systems and Control · Computer Science 2015-03-05 Ian R. Petersen

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

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

Optimization and Control · Mathematics 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

This paper presents an intelligent controller for uncertain underactuated nonlinear systems. The adopted approach is based on sliding mode control and enhanced by an artificial neural network to cope with modeling inaccuracies and external…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Josiane Maria de Macedo Fernande , Marcelo Costa Tanaka , Wallace Moreira Bessa , Edwin Kreuzer

This paper provides a protocol to address the robust output feedback consensus problem for networked heterogeneous nonlinear negative-imaginary (NI) systems with free body dynamics. We extend the definition of nonlinear NI systems to allow…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

This work develops a new direct adaptive control framework that extends the certainty equivalence principle to general nonlinear systems with unmatched model uncertainties. The approach adjusts the rate of adaptation online to eliminate the…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Brett T. Lopez , Jean-Jacques E. Slotine

The paper presents an approach to the construction of stabilizing feedback for strongly nonlinear systems. The class of systems of interest includes systems with drift which are affine in control and which cannot be stabilized by continuous…

Optimization and Control · Mathematics 2026-02-18 Hannah Michalska , Miguel Torres-Torriti

In this paper, we propose a new approach to the attitude control of quadrotors, by which angular velocity measurements or a model-based observer reconstructing the angular velocity are not needed. The proposed approach is based on recent…

Optimization and Control · Mathematics 2021-01-14 Ahmed G. Ghallab , Ian R. Petersen

The growing integration of renewable energy sources into distribution networks poses significant challenges to frequency and voltage stability due to their intermittent nature and low-inertia dynamics. This paper proposes a multilevel…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Xian Wu , Jan H. van Schuppen , Hai Xiang Lin

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

In this study, we extend the theory of negative imaginary (NI) systems to a nonlinear framework using a frequency-domain approach. The extended notion is completely characterized via a finite-frequency integration over a "kernel function"…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Di Zhao , Chao Chen , Sei Zhen Khong

This paper introduces a systematic method for designing robust linear controllers using output feedback in the presence of operational constraints. The design uses Nagumo's Theorem and the Comparison Lemma to guarantee constraint…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Marcel Menner , Heather Hussain , Eugene Lavretsky

Learning-based neural network (NN) control policies have shown impressive empirical performance in a wide range of tasks in robotics and control. However, formal (Lyapunov) stability guarantees over the region-of-attraction (ROA) for NN…

Machine Learning · Computer Science 2024-06-06 Lujie Yang , Hongkai Dai , Zhouxing Shi , Cho-Jui Hsieh , Russ Tedrake , Huan Zhang

We present a prescriptive framework for the event-triggered control of nonlinear systems. Rather than closing the loop periodically, as traditionally done in digital control, in event-triggered implementations the loop is closed according…

Optimization and Control · Mathematics 2011-08-30 Romain Postoyan , Adolfo Anta , Dragan Nesic , Paulo Tabuada

Considering nonlinear processes which are subject to unknown but measurable disturbances, we provide both stability and feasibility proofs for nonlinear model predictive controllers with abstract updates without the use of stabilizing…

Optimization and Control · Mathematics 2013-09-09 J. Pannek , J. Michael , M. Gerdts

This paper presents a Lyapunov function based control strategy for networked control systems (NCS) affected by variable time delays and data loss. A special focus is put on the reduction of the computational complexity. A specific buffering…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Katarina Stanojevic , Martin Steinberger , Martin Horn

Currently, the characterization of electric energy storage units used for power system operation and planning models relies on two major assumptions: charge and discharge efficiencies, and power limits are constant and independent of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Alvaro Gonzalez-Castellanos , David Pozo , Aldo Bischi

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski
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