In this article, by incorporating with the skills of fuzzy modeling method and fuzzy switching control technique, the nonfragile sampled-data control (SDC) synthesis problem for the ship electric propulsion systems (SEPSs) with lag transmission signal and stochastic actuator failures (SAFs) has been addressed. Firstly, to delineate the SAFs, the control input model is incorporated with semi-Markovian jump faulty coefficients for depicting various stochastically occurring actuator failures, which has stronger modeling ability and exhibits the practical scenario more accurately. Secondly, in contrast with the conventional SDC mechanism, an invariant lag signal is introduced in the control rule and the sampling pattern is assumed to be heterogeneous within an interval, which is exploited innovatively to tackle the control synthesis issue. Thirdly, by fully capturing the information of the sampling intervals and as well as the available information of fuzzy membership functionals (FMFs) simultaneously, a refined looped Lyapunov functional called dual-sided sampling-interval-dependent and looped FMFs-dependent Lyapunov functional is raised, which is deliberately tailored for the utilization of -order generalized free-matrix-based integral inequality and canonical Bessel-Legendre integral inequality. Afterwards, by resorting to the FMFs and utilizing the time derivative information of FMFs, several sufficient conditions are established in the shape of multi-parameterized linear matrix inequalities (LMIs) such that the underlying fuzzy systems can achieve the globally asymptotically stable based upon the switched control technique. The desired nonfragile control gain matrices can be subsequently determined by checking the developed LMIs. Besides that, the theoretical developments show the hierarchical character, and the conservatism decreases with the increase of the level of hierarchy. Conclusively, the proposed control technique for the stabilization issue is validated by a numerical simulation performed on the SEPSs.

中文翻译：

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具有随机执行器故障的船舶电力推进系统的非脆弱切换采样数据控制：双边循环模糊李亚普诺夫函数

本文结合模糊建模方法和模糊切换控制技术，研究了具有滞后传输信号和随机执行器故障（SAF）的船舶电力推进系统（SEPS）的非脆弱采样数据控制（SDC）综合问题。已得到解决。首先，为了刻画SAF，控制输入模型结合半马尔可夫跳跃故障系数来描述各种随机发生的执行器故障，具有更强的建模能力，更准确地展现实际场景。其次，与传统的SDC机制相比，在控制规则中引入不变的滞后信号，并假设采样模式在一个区间内是异构的，创新地利用了这一点来解决控制综合问题。第三，通过充分捕获采样间隔的信息以及同时获取模糊隶属函数（FMF）的可用信息，提出了一种精炼的循环Lyapunov泛函，称为双边采样间隔依赖和循环FMF依赖的Lyapunov泛函。 ，它是专门为利用 阶广义基于自由矩阵的积分不等式和规范 Bessel-Legendre 积分不等式而定制的。然后，通过借助FMF并利用FMF的时间导数信息，以多参数化线性矩阵不等式（LMI）的形式建立了几个充分条件，使得底层模糊系统可以基于切换实现全局渐近稳定。控制技术。随后可以通过检查开发的 LMI 来确定所需的非脆弱控制增益矩阵。此外，理论发展呈现出等级特征，随着等级层次的增加，保守性逐渐减弱。最后，针对稳定问题提出的控制技术通过对 SEPS 进行的数值模拟得到了验证。