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In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

The use of macroscopic information for the control of a vehicular platoon composed of autonomous vehicles is investigated. A mesoscopic control law is provided, and String Stability is proved by Lyapunov functions and Input-to-State…

Systems and Control · Electrical Eng. & Systems 2021-12-08 Marco Mirabilio , Alessio Iovine , Elena De Santis , Maria Domenica Di Benedetto , Giordano Pola

This paper is about obtaining stable vehicle platooning by using Cooperative Adaptive Cruise Control when the communication is unreliable and suffers from message losses. We model communication losses as independent random events and we…

Systems and Control · Computer Science 2019-05-14 Francesco Acciani , Paolo Frasca , Geert Heijenk , Anton Stoorvogel

This paper presents the design of an integral controller for vehicle platoons with actuator dynamics. The proposed controller ensures string stability with disturbances and simultaneously compensates for constant disturbances through…

Systems and Control · Electrical Eng. & Systems 2020-11-26 Guilherme Fróes Silva , Alejandro Donaire , Aaron McFadyen , Jason Ford

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

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

All practical systems often pose a problem of finite control capability, which can notably degrade the performance if not properly addressed. Since actuator input bounds are typically known, integrating actuator saturation considerations…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

This paper presents a control design with integral action for vehicle platoons with disturbance that ensures string stability of the closed loop and disturbance rejection. The addition of integral action and a coordinate change allows to…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Guilherme Froes Silva , Alejandro Donaire , Aaron McFadyen , Jason Ford

In this paper, we study the longitudinal control problem for a platoon of vehicles with unknown nonlinear dynamics under both the predecessor-following and the bidirectional control architectures. The proposed control protocols are fully…

Systems and Control · Computer Science 2017-01-24 Christos K. Verginis , Charalampos P. Bechlioulis , Dimos V. Dimarogonas , Kostas J. Kyriakopoulos

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a…

Systems and Control · Computer Science 2016-07-12 Omar Zakary , Mostafa Rachik

While ensuring stability for linear systems is well understood, it remains a major challenge for nonlinear systems. A general approach in such cases is to compute a combination of a Lyapunov function and an associated control policy.…

Machine Learning · Computer Science 2023-12-27 Junlin Wu , Andrew Clark , Yiannis Kantaros , Yevgeniy Vorobeychik

Lyapunov redesign is a classical technique that uses a nominal control and its corresponding nominal Lyapunov function to design a discontinuous control, such that it compensates the uncertainties and disturbances. In this paper, the idea…

Systems and Control · Electrical Eng. & Systems 2024-05-16 Manuel A. Estrada , Claudia A. Pérez-Pinacho , Christopher D. Cruz-Ancona , Leonid Fridman

This paper deals with the tracking control problem for a very simple class of unknown nonlinear systems. In this paper, we presents a design strategy for tracking control of time-varying state constrained nonlinear systems in an adaptive…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Pankaj Kumar Mishra , Nishchal K Verma

Various control methods have been studied to control the position and attitude of quadrotors. There are some differences in the mathematical equations between the two types of quadrotor configurations that lead to different control…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Dong LT Tran , Thanh C Vo , Hoang T Tran , Minh T Nguyen , Hai T. Do

In this work, we establish a convenient similarity between an adaptive backstepping control law and a standard proportional-integral-derivative (PID) controller for a class of second-order systems. The extracted similarity provides a deeper…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Ahmad Kourani , Naseem Daher

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

Recently, a number of counter examples have surfaced where Linear Parameter-Varying (LPV) control synthesis applied to achieve asymptotic output tracking and disturbance rejection for a nonlinear system, fails to achieve the desired…

Systems and Control · Electrical Eng. & Systems 2020-12-10 P. J. W. Koelewijn , G. Sales Mazzoccante , R. Tóth , S. Weiland

We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach. In this formulation the large-scale system is decomposed…

Dynamical Systems · Mathematics 2015-07-22 Soumya Kundu , Marian Anghel

The paper describes a novel method for studying the stability of nonautonomous dynamical systems. This method based on the flow and divergence of the vector field with coupling to the method of Lyapunov functions. The necessary and…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Igor Furtat

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma
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