Adaptive output feedback control for fractional-order multi-agent systems
Adaptive output feedback control for fractional-order multi-agent systems
复制标题
分数阶多智能体系统的自适应输出反馈控制
DOI：
10.1016/j.isatra.2019.07.008
复制
发表时间：
2020
期刊：
影响因子：
7.3
通讯作者：
Yuanlong Xie
中科院分区：
文献类型：
--
作者：
Zichao Yang;Shiqi Zheng;Feng Liu;Yuanlong Xie
本研究研究了分数阶多智能体系统（MAS）中的领导者跟随共识问题。首先，提出了一个分布式观测器，仅使用 MAS 的输出信息来估计状态变量。其次，为了克服为分数阶 MAS 选择合适的 Lyapunov 函数的困难，我们提出了一种新的状态变换技术来重建观察者动态模型。然后根据该模型引入了一种新的分布式频率相关李亚普诺夫函数。基于这个新的李亚普诺夫函数，提出了一种自适应矢量反步控制器设计程序。最后，生成一系列虚拟信号以补偿输入非线性，包括分数阶辅助系统的死区、量化和饱和度。仿真结果验证了理论分析的有效性。
This study investigates the leader-following consensus problem in fractional-order multi-agent systems (MAS). First, a distributed observer is presented to estimate the state variables by using only the output information of MAS. Second, to overcome the difficulty of selecting an appropriate Lyapunov function for fractional order MAS, we propose a new state transformation technique to reconstruct the observer dynamic model. Then a new distributed frequency-dependent Lyapunov function is introduced in accordance with this model. Based on this new Lyapunov function, an adaptive vector backstepping controller design procedure is presented. Lastly, a series of virtual signals is generated to compensate for input nonlinearities including dead zones, quantization, and saturation by the fractional order auxiliary systems. Simulation results confirm the validity of the theoretical analysis.