当前位置: X-MOL 学术Adv. Differ. Equ. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Fuzzy [Formula: see text] output-feedback control for the discrete-time system with channel fadings, sector nonlinearities, and randomly occurring interval delays and nonlinearities.
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2016-10-21 , DOI: 10.1186/s13662-016-0991-3
Xiaozheng Fan 1 , Yan Wang 2 , Manfeng Hu 3
Affiliation  

In this paper, the fuzzy [Formula: see text] 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 [Formula: see text], [Formula: see text]. 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 [Formula: see text] output-feedback controller such that the fuzzy closed-loop system is exponentially mean-square stable and the [Formula: see text] 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.

中文翻译:

具有信道衰落、扇区非线性和随机发生的间隔延迟和非线性的离散时间系统的模糊 [公式:见正文] 输出反馈控制。

在本文中,模糊[公式:见正文]输出反馈控制问题研究了一类具有信道衰落、扇区非线性、随机发生间隔延迟 (ROID) 和随机发生非线性 (RON) 的离散时间 TS 模糊系统。 . 服从伯努利分布的随机发生现象的一系列变量用于控制 ROID 和 RON。同时,测量输出受到扇区非线性(即传感器饱和)的影响,我们假设系统输出为[公式:见正文],[公式:见正文]。L阶Rice模型通过设置不同的信道系数值来描述信道衰落现象。这项工作的目的是解决设计一个全阶动态模糊的问题[公式:见文本]输出反馈控制器,使得模糊闭环系统是指数均方稳定的,并且满足[公式:见文本]性能约束,通过结合李雅普诺夫稳定性理论和随机分析以及 LMI 方法. 所提出的模糊控制器参数是通过半定规划技术解决凸优化问题得到的。最后,通过数值模拟来说明所提出的设计技术的可行性和有效性。所提出的模糊控制器参数是通过半定规划技术解决凸优化问题得到的。最后,通过数值模拟来说明所提出的设计技术的可行性和有效性。所提出的模糊控制器参数是通过半定规划技术解决凸优化问题得到的。最后,通过数值模拟来说明所提出的设计技术的可行性和有效性。
更新日期:2019-11-01
down
wechat
bug