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Consensus formation tracking of multiple autonomous underwater vehicles (AUVs) subject to nonlinear and uncertain dynamics is a challenging problem in robotics. To tackle this challenge, a distributed bioinspired sliding mode controller is…

系统与控制 · 电气工程与系统科学 2022-06-20 Tao Yan , Zhe Xu , Simon X. Yang

We show that the existence of a strictly compatible pair of control Lyapunov and control barrier functions is equivalent to the existence of a single smooth Lyapunov function that certifies both asymptotic stability and safety. This…

最优化与控制 · 数学 2026-03-23 Thanin Quartz , Maxwell Fitzsimmons , Jun Liu

Stability and safety are two important aspects in safety-critical control of dynamical systems. It has been a well established fact in control theory that stability properties can be characterized by Lyapunov functions. Reachability…

系统与控制 · 电气工程与系统科学 2022-01-03 Yiming Meng , Yinan Li , Maxwell Fitzsimmons , Jun Liu

In this paper, we investigate a decentralized formation control algorithm for an undirected formation control model. Unlike other formation control problems where only the shape of a configuration counts, we emphasize here also its…

系统与控制 · 计算机科学 2015-06-01 Xudong Chen

Lyapunov stability theory is the bedrock of direct adaptive control. Fundamentally, Lyapunov stability requires constructing a distance-like function which must decrease with time to ensure stability. Feedback linearization, backstepping,…

系统与控制 · 电气工程与系统科学 2020-02-18 Brett T. Lopez , Jean-Jacques E. Slotine

This work presents a new method to design consensus controllers for perturbed double integrator systems whose interconnection is described by a directed graph containing a rooted spanning tree. We propose new robust controllers to solve the…

系统与控制 · 电气工程与系统科学 2024-03-26 Jose Guadalupe Romero , David Navarro-Alarcon

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

分布式、并行与集群计算 · 计算机科学 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

This letter presents two bearing-constrained formation tracking control protocols for multiple nonholonomic agents based respectively on the bearing vectors and displacements between the agents. The desired formation pattern of the system…

最优化与控制 · 数学 2022-02-15 Quoc Van Tran , Jinwhan Kim

This paper addresses the consensus problem and the formation problem on SE(3) in multi-agent systems with directed and switching interconnection topologies. Several control laws are introduced for the consensus problem. By a simple…

最优化与控制 · 数学 2015-11-03 Johan Thunberg , Xiaoming Hu , Jorge Goncalves

We study the problem of distance-based formation shape control for autonomous agents with double-integrator dynamics. Our considerations are focused on exponential stability properties. For second-order formation systems under the standard…

动力系统 · 数学 2019-09-12 Raik Suttner , Zhiyong Sun

Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the system. This property makes them highly appealing for designing…

系统与控制 · 电气工程与系统科学 2025-10-01 Michael Tang , Miroslav Krstic , Jorge Poveda

Generally, the normal displacement-based formation control has a sensing mode that requires the agent not only to have certain knowledge of its direction, but also to gather its local information characterized by nonnegative coupling…

最优化与控制 · 数学 2023-06-06 Zhen Li , Yang Tang , Yongqing Fan , Tingwen Huang

Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking…

系统与控制 · 电气工程与系统科学 2021-06-03 Michael Ruderman

In the article$^a$, the authors introduced a time-varying Lyapunov function for the stability analysis of nonlinear systems whose motion is governed by standard Newton-Euler equations. The authors established asymptotic stability with the…

系统与控制 · 电气工程与系统科学 2022-09-13 Lekan Molu

Formation control is a key problem in the coordination of multiple agents. It arises new challenges to traditional formation control strategy when the communication among agents is affected by uncertainties. This paper considers the robust…

系统与控制 · 计算机科学 2017-09-05 Dongkun Han , Dimitra Panagou

In this brief paper, a new consensus protocol based on the sign of innovations is proposed. Based on this protocol each agent only requires single-bit of information about its relative state to its neighboring agents. This is significant in…

系统与控制 · 电气工程与系统科学 2020-01-03 Mohammadreza Doostmohammadian

In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The…

系统与控制 · 电气工程与系统科学 2025-05-30 Chaimae El Mortajinea , Moussa Labbadib , Adnane Saoudc , Mostafa Bouzia

This paper investigates the weighted-averaging dynamic for unconstrained and constrained consensus problems. Through the use of a suitably defined adjoint dynamic, quadratic Lyapunov comparison functions are constructed to analyze the…

最优化与控制 · 数学 2014-07-30 Angelia Nedich , Ji Liu

This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite-dimensional linear system dynamics over dynamic network topology. Our aim is to find the weakest…

系统与控制 · 电气工程与系统科学 2023-03-02 Qichao Ma , Jiahu Qin , Brian D. O. Anderson , Long Wang

This work proposes a novel 2-D formation control scheme for acyclic triangulated directed graphs (a class of minimally acyclic persistent graphs) based on bipolar coordinates with (almost) global convergence to the desired shape. Prescribed…

系统与控制 · 电气工程与系统科学 2026-03-20 Farhad Mehdifar , Charalampos P. Bechlioulis , Julien M. Hendrickx , Dimos V. Dimarogonas