Guaranteed cost tracking for uncertain coupled multi-agent systems using consensus over a directed graph

Cheng, Yi; Ugrinovskii, Valery; Wen, Guanghui

doi:10.1109/aucc.2013.6697302

Cited by 7 publications

(13 citation statements)

References 17 publications

(27 reference statements)

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“…In this section, we first revisit the leader-follower tracking control problem for multi-agent systems with fixed parameters considered in [28] to obtain a sufficient condition for the design of a control protocol for a more general class of systems involving coupling between the leader and the agents. This sufficient condition will then be applied to develop an interpolation technique to obtain a continuous gain scheduling tracking control protocol for system (2).…”

Section: The Main Resultsmentioning

confidence: 99%

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Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Cheng

Ugrinovskii

2015

Intl J Robust & Nonlinear

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This paper considers the gain-scheduled leader-follower tracking control problem for a parameter varying complex interconnected system with directed communication topology and uncertain normbounded coupling between the agents. A gain-scheduled consensus-type control protocol is proposed and a sufficient condition is obtained which guarantees a suboptimal bound on the system tracking performance under this protocol. An interpolation technique is used to obtain a protocol schedule which is continuous in the scheduling parameter. The effectiveness of the proposed method is demonstrated using a simulation example.

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Section: The Main Resultsmentioning

confidence: 99%

“…We now revisit the results of [28]. This revision is prompted by a more general structure of system (2), which allows for physical connections between the leader and the followers.…”

Section: Leader-follower Control For Fixed-parameter Systemsmentioning

confidence: 99%

Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Cheng

Ugrinovskii

2015

Intl J Robust & Nonlinear

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“…On the other hand, guaranteed cost consensus problems with time delays and the switching topologies are studied. The analysis approaches in [24][25][26] can be only applied to the case of fixed topology.…”

Section: Introductionmentioning

confidence: 99%

“…[7][8][9][10][11][12][13][14][15][16][17][18][19], the energy consumption was not considered. In [24][25][26], guaranteed cost consensus problems were investigated, but the effect of time delays was not considered. On the other hand, guaranteed cost consensus problems with time delays and the switching topologies are studied.…”

Section: Introductionmentioning

confidence: 99%

“…To the best of our knowledge, there are few literatures to investigate guaranteed cost consensus problems for multi-agent systems. In [24], guaranteed cost tracking for uncertain coupled multi-agent systems using consensus with fixed topologies were investigated. Cheng et al [25] considered the guaranteed performance leader-follower control for multi-agent systems with fixed topologies.…”

Section: Introductionmentioning

confidence: 99%

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Guaranteed cost consensus for multi-agent systems with time delays

Zhong

et al. 2015

Journal of the Franklin Institute

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Guaranteed cost consensus for multi‐agent systems with switching topologies

Zhong

Yao

et al. 2014

Intl J Robust & Nonlinear

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Guaranteed cost consensus problems for multi-agent systems with switching topologies are investigated. Firstly, guaranteed cost consensus for multi-agent systems is introduced based on state errors among neighboring agents and control inputs of all agents, where a tradeoff between the consensus regulation performance and the control effort is considered. Then, a sufficient condition for guaranteed cost consensus is given by the state-space decomposition approach and the Lyapunov method, where an upper bound of the cost function is determined and an approach is proposed to determine the control gain. It is worth mentioning that the criterions for guaranteed cost consensus are only dependent on the maximum eigenvalue of the Laplacian matrices of switching topologies. Finally, numerical simulations are given to demonstrate theoretical results. more challenging. Cao and Ren [16] studied the consensus problems with undirected and directed topologies with a sampled-data setting. In [17], the consensus for multi-agent systems with directed topologies was considered. Xi et al. [18] investigated consensus problems by the partial stability method, where the interaction topologies for multi-agent systems were directed. In [19], linear matrix inequality (LMI) criterions for consensus problems of multi-agent systems with bounded time-varying delays were presented. In [20], the cases with unbounded time-varying delays were dealt with. Ma and Zhang [21] showed that both the dynamic structure of each agent and interaction topologies impact on the consensualizability properties of multi-agent systems.It should be pointed out that consensus problems for multi-agent systems with switching topologies are more complicated because the neighboring set of each agent is time varying. The consensus problems for multi-agent systems were studied in [22], where it was assumed that all the possible topologies were undirected and connected. Su and Huang [23] relaxed the connection conditions in [22] to the joint connection cases. In [24][25][26][27][28][29], consensus problems for multi-agent systems with switching directed topologies were investigated. In [24], it was shown that consensus can be achieved asymptotically if the joint topology of the directed topologies had a spanning tree frequently enough as multi-agent systems evolve. Xiao and Wang [25] investigated consensus problems with bounded time-varying delays based on the properties of non-negative matrices. In [26], sufficient conditions for consensus of multi-agent systems with constant time delays and finite timevarying delays were given by LMIs. The consensus control problems for discrete-time multi-agent systems with stochastic noises were considered in [27]. Münz et al. [28] addressed the cases with arbitrarily large time delays, where a spanning tree should be contained in the joint topology of switching topologies in finite time. The paper [29] was devoted to the consensus problem of multiagent systems with switching topologies, where external disturbance was considered. It s...

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Guaranteed cost tracking for uncertain coupled multi-agent systems using consensus over a directed graph

Cited by 7 publications

References 17 publications

Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Gain‐scheduled leader‐follower tracking control for interconnected parameter varying systems

Guaranteed cost consensus for multi-agent systems with time delays

Guaranteed cost consensus for multi‐agent systems with switching topologies

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