变采样周期网络控制系统的非脆弱保性能控制

研究了一类具有随机时延和控制器增益扰动的非线性网络控制系统的非脆弱保性能控制问题。基于变采样周期的方法，将网络控制系统建模为非线性Markov跳变系统。利用Lyapunov稳定性理论，给出了保证整个闭环系统均方随机渐近稳定的充分条件。通过线性矩阵不等式的方法，设计了一种非脆弱状态反馈控制器，在该控制器的作用下，闭环系统的能量函数值不超过一个规定的上界。仿真算例说明了所提方法的有效性。

Non-fragile guaranteed cost control for networked control systems under variable-period sampling

The problem of non fragile guaranteed cost control for a class of nonlinear networked control systems with random delay and controller gain disturbance is considered. Based on variable period sampling approach, the networked control system is modeled as a nonlinear Markov jumping system. A sufficient condition is given so that the closed loop system is asymptotically stable in the mean square via Lyapunov stability theory. By making use of the linear matrix inequality method, a non fragile state feedback controller is designed, and the closed loop energy function value is not more than a specified upper bound under this controller. Finally, an example is presented to illustrate the effectiveness of the proposed method.