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Distributed finite-time attitude containment control for multiple rigid bodies,”Automatica, (2010)

by Z Meng, W Ren, Z You
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Distributed Containment Control for Lagrangian networks . . .

by Jie Mei, et al. , 2012
"... Lagrangian system control algorithm combined with distributed sliding-mode estimators. A necessary and sufficient condition on the directed graph is presented such that all followers converge to the dynamic convex hull spanned by the dynamic leaders asymptotically. As a byproduct, we show a necessar ..."
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Lagrangian system control algorithm combined with distributed sliding-mode estimators. A necessary and sufficient condition on the directed graph is presented such that all followers converge to the dynamic convex hull spanned by the dynamic leaders asymptotically. As a byproduct, we show a necessary and sufficient condition on leaderless consensus for networked Lagrangian systems under a directed graph. Numerical simulation results are given to show the effectiveness of the proposed control algorithms.

Distributed Containment Control with Multiple Dynamic Leaders for Double-Integrator Dynamics Using Only Position Measurements

by Jianzhen Li, Wei Ren, Shengyuan Xu
"... Abstract—This note studies the distributed containment control problem for a group of autonomous vehicles modeled by double-integrator dynamics with multiple dynamic leaders. The objective is to drive the followers into the convex hull spanned by the dynamic leaders under the constraints that the ve ..."
Abstract - Cited by 3 (1 self) - Add to MetaCart
Abstract—This note studies the distributed containment control problem for a group of autonomous vehicles modeled by double-integrator dynamics with multiple dynamic leaders. The objective is to drive the followers into the convex hull spanned by the dynamic leaders under the constraints that the velocities and the accelerations of both the leaders and the followers are not available, the leaders are neighbors of only a subset of the followers, and the followers have only local interaction. Two containment control al-gorithms via only position measurements of the agents are proposed. The-oretical analysis shows that the followers will move into the convex hull spanned by the dynamic leaders if the network topology among the fol-lowers is undirected, for each follower there exists at least one leader that has a directed path to the follower, and the parameters in the algorithm are properly chosen. Numerical results are provided to illustrate the theoret-ical results. Index Terms—Containment control, distributed control, double-inte-grator dynamics, multi-agent systems. I.

Distributed containment control of linear multi-agent systems with multiple leaders and reduced-order controllers

by Zhongkui Li, Zhisheng Duan, Wei Ren, Gang Feng - in: 50th IEEE Conference on Decision and Control and European Control Conference, 2011
"... ar ..."
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...dom switching topologies. A hybrid model predictive control scheme is proposed in [17] to solve the containment and distributed sensing problems in leader/follower multi-agent systems. The authors in =-=[18, 19, 20]-=- study the containment control problem for a collection ∗Zhongkui Li and Zhisheng Duan are with the State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Sci...

Zero-error Coordinated Tracking of Multiple Lagrange Systems Using Continuous Control

by Ziyang Meng, Dimos V. Dimarogonas, Karl H. Johansson
"... In this paper, we study the coordinated tracking problem of multiple Lagrange systems with a time-varying leader’s generalized coordinate derivative. Under a purely local interaction constraint, i.e., the followers only have access to their local neighbors ’ information and the leader is a neighbor ..."
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In this paper, we study the coordinated tracking problem of multiple Lagrange systems with a time-varying leader’s generalized coordinate derivative. Under a purely local interaction constraint, i.e., the followers only have access to their local neighbors ’ information and the leader is a neighbor of only a subset of the followers, a continuous coordinated tracking algorithm with adaptive coupling gains is proposed. Tracking errors between the followers and the leader are shown to converge to zero. Then, we extend this result to the case when the leader’s generalized coordinate derivative is constant. Examples are given to validate the effectiveness of the proposed continuous coordinated tracking algorithms.
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...d in [10] and adaptive controllers were used to guarantee both leaderless synchronization and leader-following coordinated tracking. Finite-time coordinated tracking algorithms were proposed in [11], =-=[12]-=-, where the directed communication topology was emphasized in [11] and the Lagrange dynamics were used to represent the attitudes of rigid bodies in [12]. The authors of [13] introduced a variable str...

Adaptive Fuzzy Containment Control for Uncertain Nonlinear Multiagent Systems

by Yang Yu , Hyun Jo
"... This paper considers the containment control problem for uncertain nonlinear multiagent systems under directed graphs. The followers are governed by nonlinear systems with unknown dynamics while the multiple leaders are neighbors of a subset of the followers. Fuzzy logic systems (FLSs) are used to ..."
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This paper considers the containment control problem for uncertain nonlinear multiagent systems under directed graphs. The followers are governed by nonlinear systems with unknown dynamics while the multiple leaders are neighbors of a subset of the followers. Fuzzy logic systems (FLSs) are used to identify the unknown dynamics and a distributed state feedback containment control protocol is proposed. This result is extended to the output feedback case, where observers are designed to estimate the unmeasurable states. Then, an output feedback containment control scheme is presented. The developed state feedback and output feedback containment controllers guarantee that the states of all followers converge to the convex hull spanned by the dynamic leaders. Based on Lyapunov stability theory, it is proved that the containment control errors are uniformly ultimately bounded (UUB). An example is provided to show the effectiveness of the proposed control method.
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...blem has been investigated and numerous research results have been obtained [18–27]. Containment control strategies were proposed for multiagent systems with single-integrator [17– 19], double-integrator [20–22], or general linear dynamics [23]. However, the reported methods can only deal with the containment control problem of linear multiagent systems. By now, there have been some results on containment control for nonlinear multiagent systems in [24–27]. It should be noted that the proposed containment controllers required each agent satisfying Lagrangian dynamics with known nonlinearities [24, 25], linearly parameterized nonlinearities [26], or unknownnonlinearities [27].Therefore, containment control problem for uncertain nonlinear multiagent systems needs to be further investigated. Motivated by the above observations, in this paper, containment control problem for multiagent systems with more general nonlinear dynamics is studied.Thenonlinear dynamics of each follower can be totally unknown. Using FLSs to identify the unknown nonlinear dynamics, distributed state Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2014, Article ID 840517, 9 pages http://dx.doi...

Leader-follower swarm . . . Lagrange Systems

by Z. Meng, et al. , 2012
"... ... The objective is to guarantee distributed tracking of generalized coordinate derivatives for the followers and to drive the generalized coordinates of the followers close to the convex hull formed by those of the leaders. Both the case of constant leaders ’ generalized coordinate derivatives and ..."
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... The objective is to guarantee distributed tracking of generalized coordinate derivatives for the followers and to drive the generalized coordinates of the followers close to the convex hull formed by those of the leaders. Both the case of constant leaders ’ generalized coordinate derivatives and the case of time-varying leaders ’ generalized coordinate derivatives are considered. The proposed control algorithms are shown to achieve velocity matching, connectivity maintenance and collision avoidance. In addition, the sum of the steady-state distances between the followers and the convex hull formed by the leaders is shown to be bounded and the bound is explicitly given. Simulation results are presented to validate the effectiveness of theoretical conclusions.

Reaction Wheel Installation Deviation Compensation for Overactuated Spacecraft with Finite-Time Attitude Control

by Aihua Zhang , Jianfei Ni , Hamid Reza Karimi
"... A novel attitude tracking control scheme is presented for overactuated spacecraft to address the attitude stabilization problem in presence of reaction wheel installation deviation, external disturbance and uncertain mass of moment inertia. An adaptive sliding mode control technique is proposed to ..."
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A novel attitude tracking control scheme is presented for overactuated spacecraft to address the attitude stabilization problem in presence of reaction wheel installation deviation, external disturbance and uncertain mass of moment inertia. An adaptive sliding mode control technique is proposed to track the uncertainty. A Lyapunov-based analysis shows that the compensation control law can guarantee that the desired attitude trajectories are followed in finite-time. The key feature of the proposed control strategy is that it globally asymptotically stabilizes the system, even in the presence of reaction wheel installation deviation, external disturbances, and uncertain mass of moment inertia. The attitude track performance using the proposed finite-time compensation control is evaluated through a numerical example.

for containment and distributed sensing

by Luca Galbuseraa, Giancarlo Ferrari-trecateb, Riccardo Scattolinic
"... hybrid model predictive control scheme ..."
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hybrid model predictive control scheme
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...in [16], containment control is a combination of formation and rendezvous problems and as such it is of interest for UAV formation control [17], robot swarms [18] and attitude control of rigid bodies =-=[19]-=-. IA preliminary version of the paper has been presented in IEEE CDC-CCC 2009. ∗Corresponding author Email addresses: galbusera@mi.imati.cnr.it (Luca Galbusera), giancarlo.ferrari@unipv.it (Giancarlo ...

Containment Control for Networked Lagrangian Systems Under a Directed Graph and Communication Constraints

by Abdelkader Abdessameud, Ilia G. Polushin, Abdelhamid Tayebi
"... Abstract — In this paper, we study the containment control problem of networked uncertain Lagrangian systems with intermittent communication in the presence of communication delays and possible information loss. Specifically, we present an adaptive distributed control algorithm such that a team of f ..."
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Abstract — In this paper, we study the containment control problem of networked uncertain Lagrangian systems with intermittent communication in the presence of communication delays and possible information loss. Specifically, we present an adaptive distributed control algorithm such that a team of followers asymptotically converge to the convex hull spanned by multiple non-stationary leaders. The interconnection between the systems is represented by a directed graph. Sufficient conditions are presented such that the control objective is reached while communication between agents is allowed only at some discrete instants of time in the presence of irregular communication delays and packet dropout. Simulation results are given to show the effectiveness of the proposed control scheme. I.
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...-stationary leader, however, without communication constraints. In the case of multiple leaders, the containment control problem has been studied with stationary leaders [13]-[14] and dynamic leaders =-=[15]-=--[16] under different interconnection topology graphs, yet by assuming ideal communication between the systems. Two important remarks on the above results are worth mentioning. First, the above delay-...

1Containment Control of Multi-Agent Systems with Dynamic Leaders Based on a PIn-Type Approach

by Yunpeng Wang, Long Cheng, Wei Ren, Zeng-guang Hou, Min Tan
"... This paper studies the containment problem of multi-agent systems with multiple dynamic leaders in both the discrete-time domain and the continuous-time domain. The leader’s motion is described by the n-order polynomial trajectory. This setting makes the practical sense because given some critical p ..."
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This paper studies the containment problem of multi-agent systems with multiple dynamic leaders in both the discrete-time domain and the continuous-time domain. The leader’s motion is described by the n-order polynomial trajectory. This setting makes the practical sense because given some critical points, the leader’s trajectory is usually planned by the polynomial interpolation. In order to drive all followers into the convex hull spanned by leaders, a PIn-type (P and I are short for Proportion and Integration, respectively; In stands for the n-order integral term) containment protocol is proposed. It is theoretically proved that the PIn-type containment protocol is able to solve the containment problem of multi-agent systems where followers are described by not only the single-integrator dynamics but also any-order difference/differential equation. Compared with the previous results on the multi-agent systems with dynamic leaders, the distinguished features of this paper are that: (1) the containment problem is studied not only in the continuous-time domain but also in the discrete-time domain while most existing results only work in the continuous-time domain; (2) to deal with the leader’s n-order polynomial trajectory, existing results require the follower’s dynamics to be n-order integrator while the followers considered this paper can be described by any-order integrator; and (3) the “sign ” function is not employed in
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...be divided into four categories: 1) the single-integrator dynamics [9]–[12]; 2) the double-integrator dynamics [13]–[19]; 3) the general linear dynamics [20]–[22]; 4) the Euler-Lagrange dynamics [23]–=-=[25]-=-. In [9], consensus-like interaction rules were designed for the followers while a hybrid “StopGo” policy was applied to the leaders. This control strategy ensures that all followers stay in the conve...

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