Distributed H ∞ PID Feedback for Improving Consensus Performance of Arbitrary-delayed Multi-agent System

Liu, Ou; Chen, Junjie; Zhang, Dongmei; Zhang, Lin; Zhang, Wensheng

doi:10.1007/s11633-014-0780-y

Cited by 8 publications

(5 citation statements)

References 15 publications

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“…Xu, Peng, and Guo (2018) investigated the consensus problem for a class of nonlinear MASs with stochastic uncertainties and disturbances; a novel impulsive control protocol is presented to reduce the control cost effectively. The H ∞ PID feedback for an arbitrary-order delayed multi-agent system is investigated to improve the system performance, based on the extended Hermite-Biehler theorem in Ou, Chen, Zhang, and Zhang (2014). The consensus problem of a class of MASs with uncertain topology and partially unknown control directions is studied in Chen, Li, Zhang, and Wei (2019).…”

Section: Consensus Subjected To Communication Constraintsmentioning

confidence: 99%

A survey of the consensus for multi-agent systems

Tan

2019

Systems Science & Control Engineering

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Multi-agent systems (MASs) has developed into an emerging complex system science and gradually infiltrated into various fields of social life. The problem of consensus (i.e. all agents eventually to reach an agreement upon a common quantity of interest) is the basis of distributed coordinated control of the MASs, which has attracted tremendous attention from both theoretical and practical perspectives. This paper comprehensively reviews the state-of-the-art development in the consensus of MASs. Firstly, the basic framework and overview of MASs and consensus are discussed. Secondly, the motivations, results and methods of several kinds of consensus problems are introduced, including consensus subjected to communication constraints, leader-following consensus, group consensus, consensus based on trigger mechanism, finite-time consensus, multi-consensus and multi-tracking. Finally, some challenging issues and development trends of the consensus of MASs are considered.

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Section: Consensus Subjected To Communication Constraintsmentioning

confidence: 99%

A survey of the consensus for multi-agent systems

Tan

2019

Systems Science & Control Engineering

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“…Define

υ false(s; k_{p 1}, k_{i 1}, k_{d 1}, ϕ false)

\begin{matrix} right leftthickmathspace.5em \\ υ (s & ; k_{p 1}, k_{i 1}, k_{d 1}, ϕ) \\ = s^{λ} \tilde{V} (s) \\ + \tilde{U} (s) (k_{d 1} s^{λ + μ} + k_{p 1} s^{λ} + k_{i 1}), \end{matrix}

where

\overset{false~}{V} false(s false) = W_{d} false(s false) V false(s false)

\overset{false~}{U} false(s false) = false(W_{d} false(s false) + {normale}^{j ϕ} W_{n} false(s false) / ζ false) U false(s false)

and

ϕ \in false(0, 2 π false]

. From the results in [5], the region ensuring the stability of

υ false(s; k_{p 1}, k_{i 1}, k_{d 1}, ϕ false)

for each

ϕ

in the interval

false(0, 2 π false]

is exactly the robust region of

c_{1} false(s false)

. Suppose that

\overset{false~}{U} false(s false) = \sum_{i = 0}^{\overset{false~}{m}} {\tilde{b}}_{i} s^{\overset{}{β}}

…”

Section: Controller Design Of the Two‐degree‐of‐freedom Multi‐agentmentioning

confidence: 99%

Two‐degree‐of‐freedom optimal consensus scheme of fractional‐order multi‐agent systems

Yang

Liu

et al. 2018

IET Control Theory & Applications

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“…Indeed, given the common P-like controller, one can easily think of a more general PID-like structure. In continuous-time, for instance, [14] propose a PI-like distributed algorithm for single integrator dynamic agents, and [15] provide a PID-like controller for general high-order SISO systems. Similar control design is applied to solve a leader-follower consensus under time-varying reference state, as in [16], and in its sampled-data counterpart [17], where a PD-like protocol is given.…”

Section: Introductionmentioning

confidence: 99%

A Discrete-time PID-like Consensus Control: Application to the Wind Farm Distributed Control Problem

Gionfra

Sandou

Siguerdidjane

et al. 2019

Informatics in Control, Automation and Robotics

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The problem of discrete-time multi-agent systems governed by general MIMO dynamics is addressed. By employing a PID-like distributed protocol, we aim to solve two relevant consensus problems, namely the leaderless weighted consensus under disturbances and leaderfollower weighted consensus under time-varying reference state. Sufficient conditions for stability as well as a LMI approach to tune the controller gains are provided. The two consensus techniques are then applied to solve two issues concerning the wind farm (WF) power maximization problem under wake effect. Leaderless consensus aims at averaging out zero-mean wind disturbance effects on the optimal WF power sharing, while leader-follower control is employed to restore it in the case of power reference errors. Simulations are carried out on a small WF example, whose units are the NREL's CART wind turbines.

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Distributed H ∞ PID Feedback for Improving Consensus Performance of Arbitrary-delayed Multi-agent System

Cited by 8 publications

References 15 publications

A survey of the consensus for multi-agent systems

A survey of the consensus for multi-agent systems

Two‐degree‐of‐freedom optimal consensus scheme of fractional‐order multi‐agent systems

A Discrete-time PID-like Consensus Control: Application to the Wind Farm Distributed Control Problem

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