Distributed adaptive control for optimal tracking of uncertain interconnected dynamical systems
Distributed adaptive control for optimal tracking of uncertain interconnected dynamical systems
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DOI：
10.1080/18824889.2022.2143634
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发表时间：
2022-06
期刊：
影响因子：
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通讯作者：
Atsede G. Gebremedhin;Y. Fujisaki
中科院分区：
文献类型：
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作者：
Atsede G. Gebremedhin;Y. Fujisaki
本文提出了一种分布式模型参考自适应控制方案，用于在存在系统/互联不确定性的情况下对互联动态系统进行最优跟踪。利用线性二次型调节器理论，提出了一种实现标称系统最优跟踪的参考模型选择方法。然后，针对不确定关联动力系统，利用给定的参考模型，设计了一种自适应控制律。结果表明，在存在不确定性的情况下，控制律达到了期望的行为，使得系统的输出渐近跟踪参考模型的输出。还建立了关于最优跟踪的显式误差界。
This paper presents a distributed model reference adaptive control scheme for optimal tracking of an interconnected dynamical system in the presence of system/interconnection uncertainties. A reference model selection which achieves an optimal tracking for the nominal system is introduced by using linear quadratic regulator theory. Then an adaptive control law is developed for the uncertain interconnected dynamical system, where it employs the specified reference model. It is shown that the control law achieves the desired behaviour such that the output of the system asymptotically tracks the output of the reference model in the presence of the uncertainties. An explicit error bound regarding optimal tracking is also established.