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Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. For instance, the system's instabilities can be estimated in order to enforce a closed-loop stability…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Basile Bouteau , Pauline Kergus , Pierre Vuillemin

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

Optimization and Control · Mathematics 2007-05-23 Dragan Nesic , Antonio Loria

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

Envisioned applications for humanoid robots call for the design of balancing and walking controllers. While promising results have been recently achieved, robust and reliable controllers are still a challenge for the control community…

Optimization and Control · Mathematics 2017-07-18 Gabriele Nava , Francesco Romano , Francesco Nori , Daniele Pucci

This paper investigates the stability properties and performance of super-twisting sliding-mode control loops subject to periodic perturbations. Although there exist conditions on the control gains that guarantee finite-time stability of…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Dimitrios Papageorgiou , Christopher Edwards

Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular control strategy in the literature for frequency control of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Kevin D. Smith , Saber Jafarpour , Francesco Bullo

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

This paper presents a control law for stabilization and trajectory tracking of a multicopter subject to safety constraints. The proposed approach guarantees forward invariance of a prescribed safety set while ensuring smooth tracking…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Jhon Manuel Portella Delgado , Ankit Goel

It is typically proven in adaptive control that asymptotic stabilization and tracking holds, and that at best a bounded-noise bounded-state property is proven. Recently, it has been shown in both the pole-placement control and the $d$-step…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Mohamad T. Shahab , Daniel E. Miller

In this paper, we propose a Lyapunov-based reinforcement learning method for distributed control of nonlinear systems comprising interacting subsystems with guaranteed closed-loop stability. Specifically, we conduct a detailed stability…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Jingshi Yao , Minghao Han , Xunyuan Yin

This paper presents a novel control design for vehicular formations, which is an alternative to the conventional second-order consensus protocol. The design is motivated by the closed-loop system, which we construct as first-order systems…

Optimization and Control · Mathematics 2024-02-26 Jonas Hansson , Emma Tegling

This paper proposes a sliding mode controller with smooth control effort for a class of nonlinear plants. The proposed controller is created by allowing some constant parameters of the earlier smooth sliding control (SSC) to vary as a…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Alessandro Jacoud Peixoto , Wenderson G. Serrantola , Fernando Lizarralde

A novel dynamic model-based trajectory tracking control law is proposed for a four-wheel differentially driven mobile robot using a backstepping technique that guarantees the Lyapunov stability. The present work improves the work of…

Optimization and Control · Mathematics 2014-09-19 Jae-Yun Jun , Minh-Duc Hua , Faïz Benamar

Trajectory tracking control of autonomous trolley collection robots (ATCR) is an ambitious work due to the complex environment, serious noise and external disturbances. This work investigates a control scheme for ATCR subjecting to severe…

Robotics · Computer Science 2023-09-25 Rui-Dong Xi , Liang Lu , Xue Zhang , Xiao Xiao , Bingyi Xia , Jiankun Wang , Max Q. -H. Meng

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen

In this paper, we analytically study the transient stability of grid-connected converters with grid-forming complex droop control, also known as dispatchable virtual oscillator control. We prove theoretically that complex droop control, as…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Xiuqiang He , Linbin Huang , Irina Subotić , Verena Häberle , Florian Dörfler

In the real-world, self-driving vehicles are required to achieve steering maneuvers in both uncontrolled and uncertain environments while maintaining high levels of safety and passengers' comfort. Ignoring these requirements would…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Yasir K. Al-Nadawi , Hothaifa Al-Qassab , Daniel Kent , Su Pang , Vaibhav Srivastava , Hayder Radha

Control of complex turbulent dynamical systems involving strong nonlinearity and high degrees of internal instability is an important topic in practice. Different from traditional methods for controlling individual trajectories, controlling…

Dynamical Systems · Mathematics 2023-07-31 Jeffrey Covington , Di Qi , Nan Chen

Safe obstacle avoidance and target set stabilization for nonlinear systems using reactive feedback control is under consideration. Based only on local information and by considering virtual dynamics, a safe path is generated online. The…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Lukas Lanza , Philipp Braun

As an alternative to both classical PID-type and modern model-based approaches to solving control problems, active disturbance rejection control (ADRC) has gained significant traction in recent years. With its simple tuning method and…

Systems and Control · Electrical Eng. & Systems 2024-08-01 Gernot Herbst