信道衰落情形下随机时变时滞系统故障估计

为解决一类受信道衰落影响的随机时变时滞系统的故障估计问题, 利用一系列相互独立且服从伯努力分布的随机变量描述通讯时滞的随机发生特性。 通过改进的 L 阶莱斯衰落模型反映信道衰落现象, 应用Lyapunov 稳定性理论、 随机分析技术和 LMI(Linear Matrix Inequality)技术得到故障估计器存在的充分条件, 在求解 LMI 的可行解后, 给出期望估计器增益的表达式。 通过数值仿真得到了确保增广的故障估计动态系统均方指数稳定且满足 H 肄 性能约束的估计器增益, 从而证明了该故障估计方法的有效性。

Fault Estimation for Stochastic Time-Varying Delayed Systems with Channel Fadings

The fault estimation problem is investigated for a class of stochastic time-varying delayed systems subject to channel fadings. A sequence of variables which are mutually independent but obey the Bernoulli distribution is employed to describe the randomly occurring character of communication delays and the modified L-order Rice fading model is used to better reflect the phenomenon of channel fadings. Lyapunov stability theory, stochastic analysis techniques and LMI(Linear Matrix Inequality) techniques are utilized to derive the sufficient conditions for the designed fault estimator. The estimator gains are obtained by solving the feasible solution of the LMI. An illustrative example is provided to demonstrate the effectiveness of the proposed scheme.