Multiconsensus of fractional-order uncertain multi-agent systems

Chen, Jie; Guan, Zhi‐Hong; Li, Tao; Zhang, Ding-Xue; Ge, Ming‐Feng; Zheng, Ding-Fu

doi:10.1016/j.neucom.2015.05.054

Cited by 21 publications

(18 citation statements)

References 26 publications

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“…Remark 4: By iteratively adjusting the input signals from one iteration to the next, the PD α -type ILC updating law (10) can create a two-dimensional process including time axis and iteration axis and achieve the consensus of FOMASs in a finite time interval. These are different from the existing consensus results of FOMASs [8]- [14], [16], [17], where the asymptotic consensus or the finite-time consensus is achieved and the controllers are merely related to time t. Moreover, since the controller (10) uses the control inputs and the consensus tracking errors from all previous k iterations, the controller (10) is actually a high-order iterative learning controller and can effectively deal with the problem of iteration-varying initial state shifts.…”

Section: Remark 3: Equationcontrasting

confidence: 98%

“…Remark 7: [4] and [5] have proposed the distributed controllers merely related to time t to achieve the fixed-time group consensus tracking of IOMASs including multiple leaders. In contrast, in this paper, the robust consensus tracking problem is investigated for FOMASs including one leader agent, and the proposed PD α -type iterative learning controller is related to both time t and iteration step k. Moreover, if the model of FOMASs and the communication graph are redefined in the similar ways to [4], [5], [14], the results in this paper can be extended to the case of multiple leaders. However, since the consensus of multiple leaders is another topic, we will do another study about it.…”

Section: Resultsmentioning

confidence: 99%

“…Among various researches about the FOMASs, the consensus control problem is critical and its object is to design the distributed control protocol such that the states or outputs of all agents reach an agreement on the shared information [10]. Recently, many consensus results of FOMASs have been obtained from various perspectives, such as heterogeneities [11], uncertainties [12], [13], and group consensus [14]. In addition, the time delay is divided into information processing delay and information transmission delay [15], and such two kind…”

Section: Introductionmentioning

confidence: 99%

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Iterative Learning Consensus of Fractional-Order Multi-Agent Systems Subject to Iteration-Varying Initial State Shifts

Wang

2019

IEEE Access

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This paper investigates the robust consensus tracking problem of fractional-order multiagent systems (FOMASs) subject to the iteration-varying initial state shifts. For the FOMASs including one leader agent and multiple follower agents, the PD α-type ILC protocol with the rectifying action is proposed. By improving the existing average operator and choosing the suitable variables, the leaderfollowing FOMASs under the proposed protocol are rewritten as a two-dimensional (2D) dynamical model. Based on the 2D analysis approach, the sufficient conditions are presented for the consensus of FOMASs. It is shown that due to the improved average operator, the derived sufficient conditions are more relaxed. With the increase of iteration step, the output of each follower agent will converge, and as the iteration step goes to infinity, and the limit output of each follower agent can be formulated in terms of the output of leader agent, the mean values of the initial output tracking errors, the learning gain matrices, the fractional order and the structure of communication graph. Finally, two numerical simulation examples are presented to demonstrate the effectiveness of the proposed method. INDEX TERMS Fractional-order multi-agent systems, iterative learning control, two-dimensional analysis approach, iteration-varying initial state shifts, consensus tracking.

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Section: Remark 3: Equationcontrasting

confidence: 98%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Iterative Learning Consensus of Fractional-Order Multi-Agent Systems Subject to Iteration-Varying Initial State Shifts

Wang

2019

IEEE Access

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“…As we know, linear node dynamics are more universal than first-and second-order kinematics. As a result, the con-FIGURE 1 Electrical circuit sensus problems of linear FOMASs have been widely concerned from different perspectives [24][25][26][27]. The consensus protocols were designed for linear FOMASs with uncertainties with the help of output feedback and second-order neighbors' information, respectively [24,25].…”

Section: Introductionmentioning

confidence: 99%

Robust consensus of fractional‐order singular uncertain multi‐agent systems

Pan

Yang

et al. 2019

Asian Journal of Control

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This paper focuses on consensus analysis of fractional-order singular multi-agent systems (FOSMASs) with uncertainties under fixed topology. The definition of admissible consensus or robust admissible consensus of FOSMASs is proposed and the communication network topology is assumed to be an undirected or a directed graph. Through a coordinate transformation, the admissible consensus of FOSMASs is converted into two parts, one is regularity and impulse-free of single fractional-order singular (FOS) linear system, another one is admissibility of multiple FOS linear systems. The consensus conditions are expressed by linear matrix inequalities (LMIs) via SVD technique. Some simulation examples are given to show how to solve LMIs to get the control gain. The simulation results display that the states of the FOSMAS can achieve consensus by using the solved control gain.

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“…In Ref. [31], the multiconsensus problem of uncertain FOMAS has been verified. Robust consensus problem of FOMAS with positive real uncertainty has been solved using the information of secondorder neighbors in Ref.…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus of discrete-time fractional-order multi-agent systems

Shahamatkhah

2018

Chinese Phys. B

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Leader-following consensus of fractional order multi-agent systems is investigated. The agents are considered as discrete-time fractional order integrators or fractional order double-integrators. Moreover, the interaction between the agents is described with an undirected communication graph with a fixed topology. It is shown that the leader-following consensus problem for the considered agents could be converted to the asymptotic stability analysis of a discrete-time fractional order system. Based on this idea, sufficient conditions to reach the leader-following consensus in terms of the controller parameters are extracted. This leads to an appropriate region in the controller parameters space. Numerical simulations are provided to show the performance of the proposed leader-following consensus approach.

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Multiconsensus of fractional-order uncertain multi-agent systems

Cited by 21 publications

References 26 publications

Iterative Learning Consensus of Fractional-Order Multi-Agent Systems Subject to Iteration-Varying Initial State Shifts

Iterative Learning Consensus of Fractional-Order Multi-Agent Systems Subject to Iteration-Varying Initial State Shifts

Robust consensus of fractional‐order singular uncertain multi‐agent systems

Leader-following consensus of discrete-time fractional-order multi-agent systems

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