IEEE Trans Cybern. 2017 Aug;47(8):2008-2019. doi: 10.1109/TCYB.2016.2585601. Epub 2016 Jul 12.
This paper investigates non-fragile exponential H∞ control problems for a class of uncertain nonlinear networked control systems (NCSs) with randomly occurring information, such as the controller gain fluctuation and the uncertain nonlinearity, and short time-varying delay via output feedback controller. Using the nominal point technique, the NCS is converted into a novel time-varying discrete time model with norm-bounded uncertain parameters for reducing the conservativeness. Based on linear matrix inequality framework and output feedback control strategy, design methods for general and optimal non-fragile exponential H∞ controllers are presented. Meanwhile, these control laws can still be applied to linear NCSs and general fragile control NCSs while introducing random variables. Finally, three examples verify the correctness of the presented scheme.
本文研究了一类具有随机信息(如控制器增益波动和不确定性非线性)和短变时滞的不确定非线性网络控制系统(NCSs)的非脆弱指数 H∞控制问题,通过输出反馈控制器。利用标称点技术,将 NCS 转化为一种新的时变离散时间模型,具有范数有界不确定参数,以降低保守性。基于线性矩阵不等式框架和输出反馈控制策略,提出了一般和最优非脆弱指数 H∞控制器的设计方法。同时,这些控制律在引入随机变量的情况下仍然可以应用于线性 NCSs 和一般脆弱控制 NCSs。最后,三个实例验证了所提出方案的正确性。