Optimal Output Synchronization Control of a Class of Complex Dynamical Networks With Partially Unknown System Dynamics

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans Pub Date : 2021-02-01 DOI:10.1109/TSMC.2018.2882827

Ning Wang, Xiaojian Li

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引用次数: 31

Abstract

This paper is concerned with the optimal output synchronization control problem for a class of heterogeneous complex dynamical networks (CDNs) with partially unknown system dynamics. By defining a new quadratic performance index including the information of state couplings, an optimal controller consisting of a feedback control and a compensated feedforward control is then designed. A necessary and sufficient condition for the optimal control minimizing the quadratic performance index is established. Especially, an algebraic Riccati equation (ARE) associated with a discount factor is obtained, and a novel online iteration algorithm by iteratively solving the ARE is proposed to compute the optimal controller gain for the case that the CDNs are with partially unknown system dynamics. Moreover, it is proved that the output synchronization errors converge to zero asymptotically by applying the optimal control laws. Finally, two simulation examples are provided to verify the effectiveness of the proposed control method.

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一类系统动力学部分未知的复杂动态网络的最优输出同步控制

研究一类系统动力学部分未知的异构复杂动态网络的最优输出同步控制问题。通过定义包含状态耦合信息的二次型性能指标，设计了由反馈控制和补偿前馈控制组成的最优控制器。建立了二阶性能指标最小的最优控制的充分必要条件。特别地，得到了一个与折扣因子相关的代数Riccati方程(ARE)，并提出了一种新的在线迭代算法，通过迭代求解ARE来计算CDNs具有部分未知系统动力学的最优控制器增益。此外，利用最优控制律证明了输出同步误差渐近收敛于零。最后，通过两个仿真实例验证了所提控制方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans 工程技术-计算机：控制论

自引率

0.00%

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审稿时长

6.0 months

期刊介绍： The scope of the IEEE Transactions on Systems, Man, and Cybernetics: Systems includes the fields of systems engineering. It includes issue formulation, analysis and modeling, decision making, and issue interpretation for any of the systems engineering lifecycle phases associated with the definition, development, and deployment of large systems. In addition, it includes systems management, systems engineering processes, and a variety of systems engineering methods such as optimization, modeling and simulation.