高速率通信网络下时变系统的有限时域H_∞控制

Finite-Horizon H_∞ Control for Time-Varying Systems Under High-Rate Communication Network

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。

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.