不确定中立型随机时滞系统的鲁棒记忆非脆弱H∞控制

研究了一类具有参数不确定性的中立型随机时滞系统的鲁棒非脆弱镇定和鲁棒非脆弱H∞控制问题。在控制器增益分别具有加法式摄动和乘法式摄动的情形下,通过构造Lyapunov泛函,利用Ito公式和Schur补原理,建立了用线性矩阵不等式表示的保证闭环系统随机均方渐近稳定的充分条件;给出了不确定系统鲁棒非脆弱H∞控制可解性的充分条件;通过求解线性矩阵不等式,设计了随机时滞系统的记忆状态反馈非脆弱H∞控制器。数值仿真证明了该方法的有效性。

Robust memory state feedback non-fragile H∞ control ofan uncertain neutral stochastic time-delay systems

The problem of robust and non-fragile stabilization and robust non-fragile H∞ control for a class of neutral stochastic time-delay systems with norm bounded parameter uncertainties was studied. The sufficient conditions ensuring the closed loop system mean square asymptotically stable were established With the additive and multiplicative gain uncertainty in the controller, based on the Lyapunov functional, Ito formula and Schur theory. Furthermore, the sufficient conditions were obtained for the solvability of robust non-fragile H∞ control of the uncertain system. The memory state feedback non-fragile H∞ controllers of the stochastic neutral delay system were designed by solving linear matrix inequality. The numerical example was provided to illustrate the effectiveness of the proposed design method.