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The classical stability margin analysis based on the linearized model is widely used in practice even in nonlinear systems. Although linear analysis techniques are relatively standard and have simple implementation structures, they are…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Jinrui Ren , Quan Quan

Constrained model predictive control (MPC) is a widely used control strategy, which employs moving horizon-based on-line optimisation to compute the optimum path of the manipulated variables. Nonlinear MPC can utilize detailed models but it…

Systems and Control · Computer Science 2018-08-02 Panagiotis Petsagkourakis , William P. Heath , Constantinos Theodoropoulos

This study examines the transient stability of low-inertia power systems with inverter-based generation (IBG) and proposes a sufficient stability criterion. In low-inertia grids, transient interactions are induced between the…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Changjun He , Xiuqiang He , Hua Geng , Huadong Sun , Shiyun Xu

This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints…

Optimization and Control · Mathematics 2026-03-03 Matthieu Barreau , Carsten W. Scherer , Frederic Gouaisbaut , Alexandre Seuret

The stability analysis of elastic rings subjected to various loading conditions is examined, focusing on stable and unstable configurations. The harmonic balance method is employed to investigate the stability range under different loading…

Classical Physics · Physics 2025-08-26 Muhammad Sami Siddiqui

Pressure-relief valves, often the critical last line of defence in process engineering, are known to be susceptible to valve chatter. Such behaviour has been shown to arise from a flutter instability, or Hopf bifurcation, associated with…

Dynamical Systems · Mathematics 2026-03-20 Hong Tang , Istvan Erdodi , Alan R. Champneys , Csaba J. Hős

As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

This paper develops an input-to-state stability (ISS) analysis of the Stefan problem with respect to an unknown heat loss. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a…

Optimization and Control · Mathematics 2019-03-06 Shumon Koga , Iasson Karafyllis , Miroslav Krstic

Unprecedented dynamic phenomena may appear in power grids due to higher and higher penetration of inverter-based resources (IBR), e.g., wind and solar photovoltaic (PV). A major challenge in dynamic modeling and analysis is that unlike…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Lingling Fan , Zhixin Miao

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

Sufficient and necessary conditions for the stability of positive feedback interconnections of negative imaginary systems are derived via an integral quadratic constraint (IQC) approach. The IQC framework accommodates distributed-parameter…

Systems and Control · Computer Science 2017-08-01 Sei Zhen Khong , Ian R. Petersen , Anders Rantzer

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

Systems and Control · Computer Science 2012-06-05 Corentin Briat

In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new stability characterization for feedback interconnections…

Optimization and Control · Mathematics 2018-03-16 Carsten W. Scherer , Joost Veenman

In recent years the need for DC distribution buses has increased considerably. As it can be noticed in the transport for example the distribution systems of the more electric aircrafts, ships, or electric cars. Given the complexities of the…

A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability.…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

Massive integration of power electronic devices with multiple control schemes in a wide frequency range pose new challenges regarding systems stability and reliability. Interactions between the fast control loops or between the fast control…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Georgia Saridaki , Alexandros G. Paspatis , Panos Kotsampopoulos , Nikos Hatziargyriou

Impedance controllers are popularly used in the field of lower limb prostheses and exoskeleton development. Such controllers assume the joint to be a spring-damper system described by a discrete set of equilibria and impedance parameters.…

Robotics · Computer Science 2019-09-23 Namita Anil Kumar , Woolim Hong , Pilwon Hur

Hybrid AC/DC transmission grids incorporate Modular Multilevel Converters functioning as Interconnecting Power Converters (IPCs). The control role assigned to each converter significantly influences grid dynamics. Traditionally, these…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Francesca Rossi , Sergi Costa Dilme , Josep Arevalo-Soler , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt
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