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Asynchronous Output-Feedback Control of Networked Nonlinear Systems With Multiple Packet Dropouts: T–S Fuzzy Affine Model-Based Approach

机译:具有多个数据包丢失的网络非线性系统的异步输出反馈控制:基于TS模糊仿射模型的方法

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摘要

This paper investigates the problem of robust $hbox{scr{H}}_{infty }$ output-feedback control for a class of networked nonlinear systems with multiple packet dropouts. The nonlinear plant is represented by Takagi–Sugeno (T–S) fuzzy affine dynamic models with norm-bounded uncertainties, and stochastic variables that satisfy the Bernoulli random binary distribution are adopted to characterize the data-missing phenomenon. The objective is to design an admissible output-feedback controller that guarantees the stochastic stability of the resulting closed-loop system with a prescribed $hbox{scr{H}}_{infty }$ disturbance attenuation level. It is assumed that the plant premise variables, which are often the state variables or their functions, are not measurable so that the controller implementation with state-space partition may not be synchronous with the state trajectories of the plant. Based on a piecewise quadratic Lyapunov function combined with an S-procedure and some matrix inequality convexifying techniques, two different approaches to robust output-feedback controller design are developed for the underlying T–S fuzzy affine systems with unreliable communication links. The solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
机译:本文研究了一类具有多个分组丢失的网络非线性系统的鲁棒$ hbox {scr {H}} _ {infty} $输出反馈控制问题。非线性工厂由具有范数界不确定性的Takagi-Sugeno(TS)模糊仿射动力学模型表示,并且采用满足伯努利随机二元分布的随机变量来表征数据丢失现象。目的是设计一种允许的输出反馈控制器,该控制器以规定的$ hbox {scr {H}} _ {infty} $干扰衰减水平来保证所得闭环系统的随机稳定性。假定工厂前提变量(通常是状态变量或其功能)无法测量,因此具有状态空间分区的控制器实现可能与工厂的状态轨迹不同步。基于分段二次Lyapunov函数,结合S过程和一些矩阵不等式凸化技术,针对具有不可靠通信链接的基础TS模糊仿射系统,开发了两种不同的鲁棒输出反馈控制器设计方法。该问题的解决方案以线性矩阵不等式(LMI)的形式提出。最后,提供了仿真示例来说明所提出方法的有效性。

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