Ma Yuechao, Kong Chuifeng
IEEE Trans Cybern. 2022 Jun;52(6):5454-5463. doi: 10.1109/TCYB.2020.3032398. Epub 2022 Jun 16.
This article addresses the problems of the dissipative asynchronous Takagi-Sugeno-Kong fuzzy control for a kind of singular semi-Markov jump system. An adjustable quantized approach is presented to deal with the uncertainties, nonlinear disturbance, actuator faults, and time-varying delay of the system. To deal with the problem of the nonsynchronous between system modes and controller modes, an asynchronous method is utilized. Then, a novel asynchronous sliding-mode controller is designed with an output measurement quantizer that is adaptive to the actuator faults and has good performance in practical applications. By solving the linear matrix inequalities, the sufficient conditions are obtained to guarantee the closed system stochastically admissible and strictly (Q,R,S)-α- dissipative and ensure the reachability of the sliding-mode surface. Finally, two numerical examples and comparisons are provided to illustrate the effectiveness and the priority of the proposed technique.
本文研究了一类奇异半马尔可夫跳跃系统的耗散异步Takagi-Sugeno-Kong模糊控制问题。提出了一种可调量化方法来处理系统的不确定性、非线性干扰、执行器故障和时变延迟。为了解决系统模式与控制器模式之间的不同步问题，采用了一种异步方法。然后，设计了一种新颖的异步滑模控制器，其输出测量量化器能够自适应执行器故障，并且在实际应用中具有良好的性能。通过求解线性矩阵不等式，得到了保证闭环系统随机可容许且严格（Q，R，S）-α-耗散以及确保滑模面可达性的充分条件。最后，给出了两个数值例子及比较结果，以说明所提技术的有效性和优越性。
