Adaptive Sliding-Mode Control of Markov Jump Nonlinear Systems With Actuator Faults
Adaptive Sliding-Mode Control of Markov Jump Nonlinear Systems With Actuator Faults
复制标题
具有执行器故障的马尔可夫跳跃非线性系统的自适应滑模控制
DOI：
10.1109/tac.2016.2588885
复制
发表时间：
2017-04-01
影响因子：
6.8
通讯作者：
Yao, Deyin
中科院分区：
文献类型：
--
作者：
Li, Hongyi;Shi, Peng;Yao, Deyin
本文研究了具有执行器故障的马尔可夫跳跃非线性系统的自适应滑模镇定问题。具体信息包括执行器故障的界限、非线性项的界限和外部干扰，不能用于控制器的设计。为了克服这些问题，本文主要研究设计自适应滑模控制器。首先构造一个滑模面，使得降阶等效滑移运动是随机稳定的。其次，自适应滑模控制器可以在有限时间内将系统的状态轨迹驱动到滑模面上，并可以在线估计执行器故障的有效性损失、非线性项的界和外部扰动。第三，可以保证闭环系统的随机稳定性。最后，给出了一个实例，验证了所提结果的有效性。
This technical note is concerned with the design problem of adaptive sliding-mode stabilization for Markov jump nonlinear systems with actuator faults. The specific information including bounds of actuator faults, bounds of the nonlinear term and the external disturbance is not available for the controller design. The main attention focuses on designing the adaptive sliding-mode controller to overcome these problems. Firstly, a sliding-mode surface is constructed such that the reduced-order equivalent sliding motion is stochastically stable. Secondly, the adaptive sliding-mode controller can drive the state trajectories of the system onto the sliding-mode surface in finite time, and can estimate the loss of effectiveness of actuator faults and bounds of the nonlinear term and the external disturbance online. Thirdly, the stochastic stability of the closed-loop system can be guaranteed. Finally, a practical example is provided to demonstrate the effectiveness of the presented results.