This article investigates the fixed-time adaptive fuzzy containment control problem for nonlinear multiagent systems under the directed communication topologies. The controlled systems have the unknown internal dynamics and mismatched disturbances, and fuzzy logic systems are utilized to identify the unknown internal dynamics. The mismatched disturbances and approximate errors are reconstructed via a disturbance observer. Then, by introducing an adding power integral method, a fixed-time adaptive fuzzy containment DSC scheme is developed to deal with the problem of “computation complexity.” The presented containment control method can not only guarantee that the controlled system is semiglobal practical fixed-time stable, but also avoid the “singular problem” in fixed-time backstepping recursive control technology. Finally, an application of marine surface vehicle is provided to verify the effectiveness of the presented fixed-time fuzzy containment control method.

中文翻译：

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非线性多智能体系统的固定时间自适应模糊遏制动态表面控制


本文研究了定向通信拓扑下非线性多智能体系统的固定时间自适应模糊遏制控制问题。受控系统具有未知的内部动态和失配干扰，利用模糊逻辑系统来识别未知的内部动态。通过扰动观测器重建不匹配的扰动和近似误差。然后，通过引入加幂积分方法，开发了一种固定时间自适应模糊遏制DSC方案来解决“计算复杂度”问题。所提出的遏制控制方法不仅能保证受控系统的半全局实用定时稳定，而且避免了定时反步递归控制技术中的“奇异问题”。最后，通过海上水面航行器的应用验证了所提出的定时模糊遏制控制方法的有效性。