Distributed robust finite-time nonlinear consensus protocols for multi-agent systems

Zuo, Zongyu; Tie, Lin

doi:10.1080/00207721.2014.925608

Cited by 573 publications

(210 citation statements)

References 18 publications

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“…The following lemma [22] actually presents a fixed-time stable system whose settling time is uniformly bounded and independent of initial states. …”

Section: Definitionmentioning

confidence: 99%

Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

Zuo

2015

IET Control Theory & Applications

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432

258

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This study addresses a fixed-time terminal sliding-mode control methodology for a class of second-order non-linear systems in the presence of matched uncertainties and perturbations. A newly defined non-singular terminal sliding surface is constructed and a guaranteed closed-loop convergence time independent of initial states is derived based on the phase plane analysis and Lyapunov tools. The simulation results of a single inverted pendulum in the end are included to show the effectiveness of the proposed methodology.

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“…The following lemma [22] actually presents a fixed-time stable system whose settling time is uniformly bounded and independent of initial states. …”

Section: Definitionmentioning

confidence: 99%

Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

Zuo

2015

IET Control Theory & Applications

Self Cite

432

258

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“…However, the convergence time in these methods grows unboundedly when initial condition tends to infinity. Recently, the fixed-time stability theory, first developed in [12], has been intensively investigated in [13], [14], [15], [16] and [17]. The fixed-time stability is stronger than the finitetime stability and it means that the convergence time of a global finite-time stable system is bounded independent of initial conditions.…”

Section: Introductionmentioning

confidence: 99%

A fixed-time output feedback control scheme for double integrator systems

et al. 2017

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A continuous output feedback control scheme rendering the closed-loop double integrator system globally stable in finite-time is presented. In particular, the convergence time is independent of initial conditions. The bi-limit homogeneous technique is used for controller and observer designs with fixed-time convergence. Then, a continuous output feedback control law is proposed for nominal double-integrator system and its perturbed version. The homogeneity and Lyapunov techniques are used to ensure the fixed-time stability of the closed-loop system under output feedback control framework. Finally, the efficiency of the proposed algorithms are illustrated by numerical simulations.

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“…Consensus problem [1], [2], [3], [4], [5], which means that the states of all the agents converge to certain quantities of interest, has been widely investigated in recent years. In some applications including formation flying and coordinated tracking, groups of agents are required to agree upon the state of a dynamic leader with local interaction, i.e., consensus tracking problem [6].…”

Section: Introductionmentioning

confidence: 99%

A new coordinated path-following control for second-order multi-agent systems

Zuo

2014

53rd IEEE Conference on Decision and Control

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This paper addresses the problem of coordinately steering a group of agents under directed information flow along three-dimensional (3-D) reference paths with spatial but without temporal constraints. Based on a novel 3-D algebraic implicit path-following control methodology, a new coordinated path-following control algorithm accounting for large initial positions disagreement is proposed such that all the agents in the group reach the spatial path with negotiated speed profiles and ultimately realize the position coordination on the path. To validate the correctness of the proposed concept, simulation result is included in the end.

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Distributed robust finite-time nonlinear consensus protocols for multi-agent systems

Cited by 573 publications

References 18 publications

Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

Non‐singular fixed‐time terminal sliding mode control of non‐linear systems

A fixed-time output feedback control scheme for double integrator systems

A new coordinated path-following control for second-order multi-agent systems

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