Distributed filtering and control for time delay systems interconnected over an undirected graph

Xue, Xiaojuan; Xu, Huiling; Xu, Li

doi:10.1080/00207179.2018.1535199

Cited by 13 publications

(7 citation statements)

References 40 publications

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“…By setting X im T = 0 and Y im T > 0 for all i = 1,…, L and m = 1,…, s, we can see that the asymptotic stability (10) and ( 15) can be implied by (11) and ( 16), respectively. Then, Theorem 2 and Corollary 1 are reduced to the entire frequency (EF) conditions [29], and the best EF H ∞ performance bound can be obtained in the same manner as the finite frequency case in Remark 3.…”

Section: Corollarymentioning

confidence: 98%

Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty

Chen

Feng

et al. 2020

Asian Journal of Control

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This paper addresses the robust finite frequency (FF) H ∞ distributed filtering problem for uncertain networked control system (NCS) that consists of heterogeneous subsystems. By using past output measurements and considering the frequency information of disturbance signals, the designed distributed memory filter is able to guarantee that the filtering error system is well-posed, stable and has the FF H ∞ performance. Based on the extended finite frequency bounded realness lemma for uncertain NCSs, the existence condition of robust FF H ∞ distributed memory filter is derived. Moreover, it is shown that by taking advantage of more past output measurements of NCS, the proposed design procedure can derive a distributed filter that achieves a lower H ∞ performance bound. Finally, a practical example is given to show the effectiveness of the proposed filter design method.

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Section: Corollarymentioning

confidence: 98%

Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty

Chen

Feng

et al. 2020

Asian Journal of Control

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“…Since X i T > 0 and (20), (25) hold for i ∈ L, it is easy to get that V( ) satisfies (16) of Lemma 1. When ∈ D, that is, i ∈ [ , i mati ] for some i ∈ L. Here we assume that only subsystem Σ iΔ jumps.…”

Section: Proof At First Let Us Focus On the Following Differential mentioning

confidence: 99%

“…Different from ideal interconnection relationship, that is, v ij (t) = w ji (t), used in some existing work, 5,11,20 the interconnection relationship of this article is obtained by defining…”

Section: F I G U R Ementioning

confidence: 99%

“…Different from ideal interconnection relationship, that is, v ij ( t ) = w ji ( t ), used in some existing work, 5,11,20 the interconnection relationship of this article is obtained by defining

v_{i j} (t) = ŵ_{j i} (t),

where

ŵ_{i j} (t)

corresponds to the most recently transmitted value of w ij ( t ) via the local network

𝒩_{i}

and typically

ŵ_{i j} (t) \neq w_{i j} (t)

. Note that the interconnected relationship in this article is uniquely determined by the subsystem sending out signals.…”

Section: System Description and Problem Formulationmentioning

confidence: 99%

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Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Zhang

Chen

et al. 2020

Intl J Robust & Nonlinear

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This article aims at providing tractable conditions of robust performance (RP) analysis for interconnected uncertain system with networked communication, which is composed of heterogeneous uncertain subsystems connected over an undirected graph. Each subsystem communicates with its neighbors through local packet-based communication network asynchronously and independently. First, the interconnected uncertain system with networked communication is modeled as a hybrid system. Then sufficient conditions in terms of linear matrix inequalities (LMIs), which are related to the interconnection structure and the maximum allowable transmission interval (MATI) of each local network, are derived such that the interconnected uncertain system is robustly asymptotically stable and achieves the desired RP. These conditions only depend on the parameters of individual subsystem and local network. Finally, an example of power system is given to demonstrate the applicability and effectiveness of our results.

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“…For example, it is necessary to consider the stability of a number of missiles and satellite systems within a limited time interval, or maintain the states of these systems not exceed the given boundaries in a certain time interval [11,12], such as the existence of saturation of the system ridicule [13], the spacecraft's trajectory control [14], and multi-spacecraft formation [15]. Moreover, we have considered the classical Lyapunov stability and distributed control problems for systems interconnected over an undirected graph under the time delay and Markovian jump situation in other studies [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Distributed finite‐time control for systems interconnected over an undirected graph

Xue

Wang

2020

Asian Journal of Control

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In this paper, the distributed finite-time control problem for the class of systems interconnected over an undirected graph is considered. First, the concepts of well-posedness, finite-time boundedness, and contractiveness for the considered systems are given. Then, a sufficient condition is developed to ensure that the plant is well-posed, finite-time bounded, and contractive, where the results are stated by terms of linear matrix inequalities (LMIs). For the control synthesis, we construct a distributed dynamic output-feedback controller inheriting the structure of the plant such that the resulting closed-loop system is finite-time bounded and contractive. Since the analysis condition of the plant used for the closed-loop system is presented by some nonlinear inequalities in given finite-time interval, we further derive a sufficient condition in terms of LMIs with some fixed parameter for the existence of an appropriate output-feedback controller such that the closed-loop system is contractive. Finally, numerical simulations are provided to show the validity of the proposed results.

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Distributed filtering and control for time delay systems interconnected over an undirected graph

Cited by 13 publications

References 40 publications

Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty

Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Distributed finite‐time control for systems interconnected over an undirected graph

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Distributed filtering and control for time delay systems interconnected over an undirected graph

Cited by 13 publications

References 40 publications

Robust finite frequency H∞ distributed memory filter design for networked control systems with polytopic uncertainty

Robust finite frequency H∞ distributed memory filter design for networked control systems with polytopic uncertainty

Network‐based robust performance analysis for uncertain systems interconnected over an undirected graph

Distributed finite‐time control for systems interconnected over an undirected graph

Contact Info

Product

Resources

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Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty

Robust finite frequency H_∞ distributed memory filter design for networked control systems with polytopic uncertainty