基于间歇状态反馈的网络反馈系统分布式事件触发控制
Distributed Event-triggered Control of Networked Strict-feedback Systems Via Intermittent State Feedback
摘要:
即使对于单失配非线性严格反馈系统,采用间歇状态反馈也难以实现稳定跟踪。如果这种系统是网络化的,具有定向通信和状态触发设置,则潜在的问题变得更加复杂。在这项工作中,我们提出了一个完全分布式的神经自适应跟踪控制方案的严格反馈形式的多个代理系统使用触发状态从代理本身和触发状态从邻居代理。为了避免状态触发导致的虚拟控制器不可微性,首先提出了一种规则状态反馈下的分布式连续控制方案,在此基础上,通过将前一方案中的状态替换为触发状态,构造了分布式事件触发控制方案.引入了几个有用的引理,以允许建立这样的替换的稳定性条件,确保所有的闭环信号是半全局一致最终有界的(SGUUB),与输出跟踪误差收敛到零附近的残差集。此外,通过合理选择设计参数,可以提高均方跟踪性能。数值仿真验证了所提方法的优越性和有效性。
英文摘要:
It poses technical difficulty to achieve stable tracking even for single mismatched nonlinear strict-feedback systems when intermittent state feedback is utilized. The underlying problem becomes even more complicated if such systems are networked with directed communication and state-triggering setting. In this work, we present a fully distributed neuroadaptive tracking control scheme for multiple agent systems in strict-feedback form using triggered state from the agent itself and the triggered states from the neighbor agents. To circumvent the non-differentiability of virtual controllers stemming from state-triggering, we first develop a distributed continuous control scheme under regular state feedback, upon which we construct the distributed event-triggered control scheme by replacing the states in the preceding scheme with the triggered ones. Several useful lemmas are introduced to allow the stability condition to be established with such replacement, ensuring that all the closed-loop signals are semi-globally uniformly ultimately bounded (SGUUB), with the output tracking error converging to a residual set around zero. Besides, with proper choices of the design parameters, the tracking performance in the mean square sense can be improved. Numerical simulation verifies the benefits and efficiency of the proposed method.
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