Robust <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msub></mml:math> Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays

Jia, Xiaoxu; Hu, Laihong; Fan, Feng; Xu, Jian‐Xin

doi:10.1155/2019/7278531

Cited by 4 publications

(3 citation statements)

References 46 publications

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“…However, due to the complex composition of lumped disturbance and the mechanical characteristics of the AMB, modeling the lumped disturbance in the imaging phase is a challenging problem. Furthermore, plenty of related research works have focused on controller design with disturbance, uncertainty, and nonlinearity, including the model predictive control [9], the robust H-infinity control [10,11], and the active disturbance rejection control [12,13]. Moreover, the sliding mode control (SMC) has been widely used in satellite attitude control due to its high accuracy and strong robustness against disturbances [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

High Precision Control of Rotating Payload Satellite considering Static and Dynamic Unbalanced Disturbance

Zhao

Wei

et al. 2022

International Journal of Aerospace Engineering

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This paper is devoted to suppressing the lumped disturbance, which is mainly composed of static and dynamic unbalanced disturbance, to ensure the imaging quality of the rotating payload satellite system with a five-degree-of-freedom active magnetic bearing. The dynamic model of lumped disturbance in imaging phase is established to design the balancing error index of payload unbalance, and the effect of bearing mechanical characteristics is analyzed. A novel fixed-time extended state observer is proposed to estimate unknown lumped disturbance and uncertainty. On this basis, a novel quaternion-based fixed-time nonsingular terminal sliding mode controller is presented to achieve high precision, high stability, and chattering-free attitude control. The complete proof on the faster convergence performance of the presented sliding mode surface compared to the existing sliding mode surfaces and the fixed-time convergence of the presented controller is provided. Numerical simulation results are carried out to verify the lumped disturbance modeling accuracy and the effectiveness of the proposed controller.

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Section: Introductionmentioning

confidence: 99%

High Precision Control of Rotating Payload Satellite considering Static and Dynamic Unbalanced Disturbance

Zhao

Wei

et al. 2022

International Journal of Aerospace Engineering

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“…Some related works have been investigated by many researchers. [3][4][5][6][7][8][9][10][11][12] For example, Reference 3 presented a solution to the leader-following consensus problem of linear multi-agent systems with modeling uncertainties by using the robust optimal control theory. Reference 4 dealt with robust H ∞ consensus control problem for linear discrete-time MASs with parameter uncertainties and time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

Gain‐scheduled robust control for multi‐agent linear parameter‐varying systems with communication delays

Chen

Huang

Zhan

2021

Intl J Robust & Nonlinear

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This study deals with the problem of gain-scheduled robust control for multi-agent linear parameter varying (LPV) systems with or without communication delays. The system matrices are assumed to depend on the scheduling parameters, which are supposed to be time-varying within a priori known bounds. First, a linear transformation matrix is constructed from the directed spanning tree of the communication topology of the agents, which equivalently transforms the robust consensus control problem of multi-agent LPV systems into the robust stability problem of a set of parameter-dependent systems. What's more, the effect of the time-varying communication delays is considered, and consensus condition in terms of linear matrix inequalities (LMIs) is derived by using the parameter-dependent Lyapunov-Krasovskii approach. Then, the control gain matrices are obtained through solving a convex optimization problem. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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“…Cooperative control of MAS originated from bioscience, where many researchers aroused great interest in birds, bees, and fishes in nature. Many scholars found that the above cooperative behavior among agents is based on the swarm consensus [10][11][12][13][14][15][16][17], and all agents could perform tasks that cannot be achieved by a single one as a formation structure. e formation control, as a fundamental and key issue of cooperative control, refers to a team of interacting agents to perform complex tasks together in a certain geometric structure, which is applied to many fields, such as networking system of satellite clusters, movements of mobile robotics [18,19], cooperative attack of multiple missiles [20], and unmanned aerial vehicle formations [21,22].…”

Section: Introductionmentioning

confidence: 99%

Energy-Limited Time-Varying Formation Control for Second-Order Multiagent Systems

et al. 2020

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The energy-limited time-varying formation (ETVF) control problem of second-order multiagent systems (MAS) is addressed for both leaderless and leader-following communication topologies in this paper. Different from the previous results, the joint consideration of energy limitation and formation design is more challenging and practical. First, an ETVF control protocol is presented, and the total energy supply is pregiven and limited, which is more common in practical applications. Then, by an orthogonal transformation, the formation control problem is converted into the consensus stabilization problem for second-order leaderless MAS, where sufficient conditions for the ETVF are derived by joint design of control gains and the total energy. At the same time, the explicit formula that forms the formation center function is obtained to depict the macroscopic movement of the multiagent system as a whole. Moreover, the proposed method is also extended to the leader-following communication structure. Finally, two examples are given to verify the effectiveness of our theoretical results.

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Robust H∞ Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays

Cited by 4 publications

References 46 publications

High Precision Control of Rotating Payload Satellite considering Static and Dynamic Unbalanced Disturbance

High Precision Control of Rotating Payload Satellite considering Static and Dynamic Unbalanced Disturbance

Gain‐scheduled robust control for multi‐agent linear parameter‐varying systems with communication delays

Energy-Limited Time-Varying Formation Control for Second-Order Multiagent Systems

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