具有执行器故障的非线性多智能体系统的自适应输出反馈控制

Fei Zhu, Yue Wang, Xiandong Chen
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摘要

本文应用自适应输出反馈控制方法研究了一类非线性多智能体系统在执行器失效情况下的全局leader-follower一致性问题。首先,引入第一次坐标变换,将执行器故障的未知系数转化为多智能体系统的未知常数Lipschitz条件;其次,利用第二次坐标变换将被考虑系统的一致性问题转化为稳定性问题。经过第三次坐标变换后,系统立即变成了一个容易找到李雅普诺夫函数的系统。最后,构造了一系列自适应输出反馈控制器,解决了全局leader-follower共识问题,实现了对每个follower输出信号跟随误差的调节能力。数学仿真结果验证了该方法的简单性和有效性。
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Adaptive output feedback control for nonlinear multi-agent systems with actuator failures
In this paper, the adaptive output feedback control is applied to investigate the global leader-follower consensus problem for a kind of nonlinear multi-agent systems subject to actuator failures. Firstly, introducing the first coordinate transformation to convert the unknown coefficient of the failures about the actuator into the unknown constant Lipschitz conditions of the multi-agent systems. Secondly, using the second coordinate transformation to make the consensus problem of the considered system into a stability problem. Immediately, the concemed system is turned into a system that is easy to find Lyapunov function after the third coordinate transformations. Finally, a series of adaptive output feedback controllers are constructed, which can address the problem of global leader-follower consensus and realize the ability to regulate the following error of each follower’s output signal. Additionally, the simplicity and effectiveness of the presented technique are verified by mathematical simulation results.
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