Abstract: In this paper, a new observer-based [H∞] controller design method is developed for a class of time-varying networked control systems subject to high-rate communication network and Round-Robin（RR） protocol over a finite-horizon. The system under investigation involves multiplicative noise, stochastic time-delays and quantization effects. By applying Lyapunov stability theory and Linear Matrix Inequality（LMI） technique, a sufficient condition for the existence of the finite-horizon [H∞] controller is derived. The corresponding parameters of the observer and controller are obtained via resorting to a set of recursive matrix inequalities based on Cone Complementarity Linearization（CCL） method. The proposed controller can ensure both the stability and the prescribed [H∞] performance index of the closed-loop system over a given finite horizon. A simulation example is finally utilized to illustrate the effectiveness of the proposed controller design scheme.

Key words: finite-horizon [H∞] controller, time-varying networked control systems, high-rate communication network, Round-Robin protocol, cone complementarity linearization

摘要： 针对高速率通信网络和Round-Robin（RR）协议影响下网络化时变系统的有限时域[H∞]控制问题，考虑到系统中存在乘性噪声、随机时滞和量化效应，提出了一种基于观测器的有限时域[H∞]控制器的设计方法。利用李雅普诺夫稳定性理论和线性矩阵不等式（Linear Matrix Inequality，LMI）技术得到有限时域[H∞]控制器存在的充分条件。基于锥补线性化（Cone Complementarity Linearization，CCL）方法通过求解一组递归矩阵不等式得到观测器和控制器参数。所设计的控制器保证闭环网络化时变系统在给定的时域内稳定，且满足预定的[H∞]性能指标。数值仿真验证了所提方法的有效性。

关键词: 有限时域[H&infin, ]控制器, 网络化时变系统, 高速率通信网络, Round-Robin协议, 锥补线性化