In this article, the problem of output feedback tracking control for uncertain Markov jumping nonlinear systems is studied. A finite-time control scheme based on command filtered backstepping and adaptive neural network (NN) technique is given. The finite-time command filter solves the problem of differential explosions for virtual control signals, the NN is utilized to approximate the uncertain nonlinear dynamics and the adaptive NN observer is applied to restructure the state of system. The finite-time error compensation mechanism is established to compensate the errors brought by filtering process. The proposed finite-time tracking control algorithm can ensure that the solution of the closed-loop system is practically finite-time stable in mean square. Two simulation examples are employed to demonstrate the effectiveness of the proposed control algorithm.

中文翻译：

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马尔可夫跳跃非线性系统的自适应有限时间输出反馈控制

本文研究了不确定马尔可夫跳跃非线性系统的输出反馈跟踪控制问题。给出了一种基于命令滤波反步和自适应神经网络(NN)技术的有限时间控制方案。有限时间指令滤波器解决了虚拟控制信号的微分爆炸问题，利用神经网络逼近不确定的非线性动力学，利用自适应神经网络观测器重构系统状态。建立有限时间误差补偿机制，对滤波过程带来的误差进行补偿。所提出的有限时间跟踪控制算法可以保证闭环系统的解在均方上实际上是有限时间稳定的。