Dissipativity-Based Asynchronous Fuzzy Sliding Mode Control for T-S Fuzzy Hidden Markov Jump Systems
Dissipativity-Based Asynchronous Fuzzy Sliding Mode Control for T-S Fuzzy Hidden Markov Jump Systems
复制标题
T-S模糊隐马尔可夫跳跃系统的基于耗散性的异步模糊滑模控制
DOI：
10.1109/tcyb.2019.2919299
复制
发表时间：
2020
影响因子：
11.8
通讯作者：
Wu Zheng-Guang
中科院分区：
文献类型：
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作者：
Dong Shanling;Chen C. L. Philip;Fang Mei;Wu Zheng-Guang
研究了具有匹配不确定性和噪声的非线性Markov跳变系统的基于耗散的异步模糊积分滑模控制问题。由于原始系统的模式不能直接获得，隐马尔可夫模型被用来检测模式信息。根据检测到的模态和并行分布补偿方法，设计了合适的模糊积分滑模面。然后利用李雅普诺夫函数，给出了滑模控制器增益存在的充分条件，该条件也能保证滑模动力学的随机稳定性和满意的耗散性能。提出了AFISMC定律，用于在有限时间内将系统轨迹驱动到预定的滑动模式边界层。对于不确定性界未知的情况，也给出了自适应AFISMC律。所研究的T-S模糊马尔可夫跳变系统涉及连续时间域和离散时间域。最后，一些仿真结果表明所提出的方法的适用性和有效性。
This paper investigates the problem of dissipativity-based asynchronous fuzzy integral sliding mode control (AFISMC) for nonlinear Markov jump systems represented by Takagi-Sugeno (T-S) models, which are subject to external noise and matched uncertainties. Since modes of original systems cannot be directly obtained, the hidden Markov model is employed to detect mode information. With the detected mode and the parallel distributed compensation approach, a suitable fuzzy integral sliding surface is devised. Then using Lyapunov function, a sufficient condition for the existence of sliding mode controller gains is developed, which can also ensure the stochastic stability of the sliding mode dynamics with a satisfactory dissipative performance. An AFISMC law is proposed to drive system trajectories into the predetermined sliding mode boundary layer in finite time. For the case with unknown bound of uncertainties, an adaptive AFISMC law is developed as well. The studied T-S fuzzy Markov jump systems involve both continuous-time and discrete-time domains. Finally, some simulation results are presented to demonstrate the applicability and effectiveness of the proposed approaches.