Delay compensation for linear systems with both state and distinct input delays

Liu, Qingsong; Zhou, Bin

doi:10.1002/rnc.4246

Cited by 8 publications

(4 citation statements)

References 47 publications

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“…Recently, an interesting problem is that compensating long input time‐delays for linear systems with both state and input delays was studied first in Reference 25, and a nested predictor‐based method was established to compensate the input delays such that the closed‐loop system in the presence of input delay is still asymptotically stable. The nested predictor feedback method proposed in Reference 25 was extended to linear systems with both state and distinct input delays 26 . At the same time, the same problem was independently studied in Reference 27 by completely different methods.…”

Section: Introductionmentioning

confidence: 99%

Observer‐predictor feedback for consensus of discrete‐time multiagent systems with both state and input delays

Liu

2020

Intl J Robust & Nonlinear

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This article is concerned with the consensus problem for discrete-time multiagent systems with both state and input delays. Single observer-predictor-based protocols and multiple observer-predictors feedback protocols are simultaneously established to predict the future state such that the input delay that can be arbitrarily large yet bounded is completely compensated. It is shown that the consensus of the multiagent system can be achieved by the single/multiple observer-predictors feedback protocol. Moreover, sufficient conditions guaranteeing the consensus of the multiagent system are provided in terms of the stability of some simple observer-error systems, and the separation principle is discovered. Finally, a numerical example is worked out to illustrate the effectiveness of the proposed approaches. K E Y W O R D Sconsensus, input delay compensation, multiagent systems, observer-predictor feedback, state and input delays INTRODUCTIONIn recent years, distributed coordination of networks of dynamic agents has attracted several researchers due to its broad applications of multiagent systems in many areas including cooperative control of unmanned air vehicles, formation control, 1 flocking, 2 and distributed sensor networks. 3 However, consensus problems have attracted significant interests from the control theory community and has been intensively investigated in the literature. 4-8 Many early results on consensus problem are based on single integrators or second-order dynamics (see, References 1,9,10 and the references therein). Afterward, the consensus problem for high-order linear multiagent systems was studied. 11 For example, the consensus problem of multiagent systems with delays was investigated in Reference 12 by discrete-time predictor feedback, and the consensus problem of multiagent systems with a time-invariant communication topology and consensus disturbance rejection of network-connected dynamic systems were discussed in References 13 and 14, respectively. Generally, time-delays are inevitable in the consensus control. Therefore, consensus of multiagent systems with communication/input delays has been extensively investigated in the literature. For example, the consensus problem for multiagent systems with input and communication delays was studied in Reference 15, both the leaderless consensus problem and the leader-following consensus problem for linear discrete-time multiagent systems under switching network topology were studied in Reference 16, the consensus problem of multiagent systems with nonuniform time-delays and dynamically changing topologies was considered in Reference 17, the consensus and quasi-consensus problems in Int J Robust Nonlinear Control. 2020;30:4003-4021.wileyonlinelibrary.com/journal/rnc

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Section: Introductionmentioning

confidence: 99%

Observer‐predictor feedback for consensus of discrete‐time multiagent systems with both state and input delays

Liu

2020

Intl J Robust & Nonlinear

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“…The global regulation or stabilization problems for time-delay systems with state or output feedback currently remain as important topics in control field. [1][2][3][4][5][6][7][8][9][10][11][12][13][15][16][17][18]22 In particular, control problems for feedforward systems with delays have been actively studied. [2][3][4]7,9,[14][15][16][17][18] In Reference 17, an adaptive controller with switching logic is proposed to treat uncertain feedforward systems with unknown constant delays.…”

Section: Introductionmentioning

confidence: 99%

“…The global regulation or stabilization problems for time‐delay systems with state or output feedback currently remain as important topics in control field 1-13,15-18,22 . In particular, control problems for feedforward systems with delays have been actively studied 2-4,7,9,14-18 .…”

Section: Introductionmentioning

confidence: 99%

Output feedback regulation of a class of high‐order feedforward nonlinear systems with unknown time‐varying delay in the input under measurement sensitivity

Koo

Choi

2020

Intl J Robust & Nonlinear

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An output feedback regulation problem is considered for a class of high-order feedforward nonlinear systems with delay in the input under measurement sensitivity. The key features are that the considered systems have uncertain high-order feedforward nonlinearity and unknown time-varying delay in the input. Then, the controller is supposed to be engaged where the output feedback information is distorted by measurement sensitivity. Our proposed controller has two gains-fixed and adaptive gains. The fixed gain is first designed to compensate for measurement sensitivity, and the adaptive gain is next utilized to dominate both unknown input delay and uncertain high-order feedforward nonlinearity. Simulation examples are given to highlight the advantage of our control scheme.

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“…Recently, for linear systems with both state and input delays, a novel method referred to as nested predictor feedback was proposed in [36] to study the long input delay compensation problem. This method was later extended to discrete-time time-delay systems [14], neutral-type time-delay systems [35], and to the case of linear systems with both state and distinct input delays [15]. Almost at the same time, the same problem was independently investigated in [9] by a completely different method which is based on the fundamental matrix functions for open-loop time-delay systems.…”

Section: Introductionmentioning

confidence: 99%

Design of pseudo-predictor feedback for neutral-type linear systems with both state and input delays

2019

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In this paper, the stabilization problem of neutral-type linear time-delay systems with both state and input delays is studied. A pseudo-predictor feedback (PPF) approach is established to predict the future states such that the input delay is compensated properly. It is shown that the considered system can be stabilized by the PPF controller if and only if an associated integral delay system is asymptotically stable. Moreover, it is proved that the PPF controller can be safely implemented without involving any input filters. The computing the feedback gains problem is successfully converted to a simultaneous stabilization problem, which is solved by adopting a direct optimization approach. The proposed PPF approach is also extended to neutral-type time-varying time-delay systems. A numerical example is carried out to illustrate the effectiveness of the proposed controllers.

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Delay compensation for linear systems with both state and distinct input delays

Cited by 8 publications

References 47 publications

Observer‐predictor feedback for consensus of discrete‐time multiagent systems with both state and input delays

Observer‐predictor feedback for consensus of discrete‐time multiagent systems with both state and input delays

Output feedback regulation of a class of high‐order feedforward nonlinear systems with unknown time‐varying delay in the input under measurement sensitivity

Design of pseudo-predictor feedback for neutral-type linear systems with both state and input delays

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