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Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities

机译：具有信道衰落扇区非线性以及随机出现的间隔延迟和非线性的离散时间系统的模糊...公式输出反馈控制

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摘要

In this paper, the fuzzy H∞ output-feedback control problem is investigated for a class of discrete-time T-S fuzzy systems with channel fadings, sector nonlinearities, randomly occurring interval delays (ROIDs) and randomly occurring nonlinearities (RONs). A series of variables of the randomly occurring phenomena obeying the Bernoulli distribution is used to govern ROIDs and RONs. Meanwhile, the measurement outputs are subject to the sector nonlinearities (i.e. the sensor saturations) and we assume the system output is y(k) = 0, k ∈ {−l, …, 0}. The Lth-order Rice model is utilized to describe the phenomenon of channel fadings by setting different values of the channel coefficients. The aim of this work is to deal with the problem of designing a full-order dynamic fuzzy H∞ output-feedback controller such that the fuzzy closed-loop system is exponentially mean-square stable and the H∞ performance constraint is satisfied, by means of a combination of Lyapunov stability theory and stochastic analysis along with LMI methods. The proposed fuzzy controller parameters are derived by solving a convex optimization problem via the semidefinite programming technique. Finally, a numerical simulation is given to illustrate the feasibility and effectiveness of the proposed design technique.
机译：本文针对一类具有信道衰落，扇区非线性，随机发生的间隔时延（ROID）和随机发生的非线性（RON）的离散时间T-S模糊系统，研究了模糊H∞输出反馈控制问题。服从伯努利分布的一系列随机发生的现象变量用于控制ROID和RON。同时，测量输出受扇区非线性（即传感器饱和度）的影响，我们假设系统输出为y（k）= 0，k∈{−l，...，0}。通过设置信道系数的不同值，使用L阶莱斯模型描述信道衰落现象。这项工作的目的是通过以下方式解决设计全阶动态模糊H∞输出反馈控制器的问题，即模糊闭环系统是指数均方稳定的，并且满足H∞性能约束。 Lyapunov稳定性理论和随机分析以及LMI方法的组合。拟议的模糊控制器参数是通过半定规划技术解决凸优化问题而得出的。最后，通过数值模拟说明了所提设计技术的可行性和有效性。

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