Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control

Wang, Yan‐Wu; Liu, Xiao-Kang; Xiao, Jiang‐Wen; Shen, Yanjun

doi:10.1016/j.automatica.2018.03.020

Cited by 186 publications

(63 citation statements)

References 26 publications

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“…Cooperative output regulation of HMASs, which can be viewed as a generalization of the consensus tracking problems, has captured attention recently, where the heterogeneous follower subsystems need track the reference trajectory or reject the disturbance generated by the exosystem (ie, the leader). Based on the framework of cooperative output regulation, several formation control approaches for HMASs were presented in References . Specifically, time‐invariant formation tracking problems for discrete‐time HMASs with uncertainties were studied in Reference .…”

Section: Introductionmentioning

confidence: 99%

“…An OFT control approach was presented for HMASs in Reference , where the leader was assumed to be nonautonomous with unknown input. In Reference , output formation‐containment problems for HMASs with discrete‐time communication were addressed, where a virtual leader was applied to generate the trajectory of the whole system.…”

Section: Introductionmentioning

confidence: 99%

“…It should be pointed out that the expected trajectory of the whole HMAS was generated by only one real/virtual leader in References . In some applications, there are multiple leaders for the followers to track .…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is significant to further study the formation tracking approaches without depending on the well‐informed follower assumption. In this case, all the followers cannot acquire the complete information of the multiple leaders, while the existing results for HMASs with one leader in References all required that at least one follower can get the leader's information directly. So these approaches in References cannot be applied to the multiple leaders simply.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, all the followers cannot acquire the complete information of the multiple leaders, while the existing results for HMASs with one leader in References all required that at least one follower can get the leader's information directly. So these approaches in References cannot be applied to the multiple leaders simply. In addition, although multiple leaders were considered in the containment control for HMASs in References , all the followers cannot reach an agreement on the same convex combination of the leaders without the well‐informed follower assumption (see remark 4 in Reference ), and all the leaders were assumed to share identical dynamics.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Distributed adaptive formation tracking for heterogeneous multiagent systems with multiple nonidentical leaders and without well‐informed follower

Hua

Dong

et al. 2020

Intl J Robust & Nonlinear

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Summary This paper studies the time‐varying output formation tracking (OFT) problems for linear heterogeneous multiagent systems with multiple leaders, where both the followers and the leaders can have nonidentical dynamics and dimensions. The existing results on formation tracking with multiple leaders depend on the assumption that each follower is well‐informed or uninformed, where the well‐informed follower has all the leaders as its neighbor. To remove this assumption, a novel OFT approach is presented using a distributed observer scheme. Firstly, based on the local estimation and the interaction with neighboring followers, a fully distributed observer is designed for each follower to estimate the dynamical matrices and the states of multiple leaders without requiring the well‐informed follower assumption. The convergence of the distributed observer is proved by using Lyapunov theory. Then, an adaptive algorithm is proposed to solve the regulator equations in finite time based on the estimation of the leaders' dynamical matrices. Furthermore, the desired time‐varying output formation of each follower is generated by a local active exosystem. A time‐varying OFT protocol is presented using the estimated states of multiple leaders, the online solutions of the regulator equations, and the desired formation vector generated by the local exosystem. It is proved that the outputs of the followers can not only realize the expected formation shape but also track the predefined convex combination of multiple leaders. Finally, a simulation example is given to verify the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Distributed adaptive formation tracking for heterogeneous multiagent systems with multiple nonidentical leaders and without well‐informed follower

Hua

Dong

et al. 2020

Intl J Robust & Nonlinear

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Modified performance of MIMO wireless networked time‐delay systems over fading channels

Zhan

Cheng

Zhao

et al. 2019

Asian Journal of Control

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In this paper, the modified performance limitation of multi‐input multi‐output (MIMO) wireless networked time‐delay systems over fading channels is investigated, where the characteristic of the fading channels is assumed to be a random process. The modified tracking performance limitation is considered based on frequency domain representation. The display expressions of performance limitation are achieved by using the co‐prime factorization and the spectral decomposition techniques. The obtained results show that the modified performance limitation of the wireless networked time‐delay systems is related to the inherent characteristics of the given plant, including the non‐minimum phase zeroes, the unstable poles, the encoding‐decoding, the fading channels, the bandwidth and the modified factor. Finally, some numerical examples are provided to demonstrate the efficiency of the proposed design method.

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Stability analysis and controller design for consensus in discrete‐time networks with heterogeneous agent dynamics

Cihan

2022

Asian Journal of Control

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In this paper, we study the heterogeneous consensus problem in directed networks consisting of first‐ and second‐order agents that can only receive the position states of their neighbors. Necessary and sufficient conditions on the controller parameters are obtained in order to achieve consensus in the network. The mathematical expressions of the consensus equilibria are given for two different scenarios. Furthermore, we propose a systematic method for choosing controller parameters to ensure stability in a network of agents with heterogeneous dynamics. Several numerical examples are also provided to illustrate the theoretical results.

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Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control

Cited by 186 publications

References 26 publications

Distributed adaptive formation tracking for heterogeneous multiagent systems with multiple nonidentical leaders and without well‐informed follower

Distributed adaptive formation tracking for heterogeneous multiagent systems with multiple nonidentical leaders and without well‐informed follower

Modified performance of MIMO wireless networked time‐delay systems over fading channels

Stability analysis and controller design for consensus in discrete‐time networks with heterogeneous agent dynamics

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