广义网络化控制系统的鲁棒指数稳定性分析

Robust exponential stability analysis for generalized networked control systems

针对一类带有范数有界不确定性的广义网络化时滞系统,研究基于事件触发机制的鲁棒指数稳定性问题。通过引入恰当的事件触发条件,将原系统转化为带有输入时滞的分段连续系统。通过构造恰当的Lyapunov-Krasovskii泛函,利用时滞依赖的稳定性理论和线性矩阵不等式方法(LMI)得到闭环系统指数稳定的充分条件。通过求解凸优化问题得到控制器增益和指数衰减率。数值仿真验证了该文方法的有效性。

The robust exponential stability problem based on event-triggered mechanism is investigated for a norm-bounded uncertain generalized networked control system. A concerned system is transformed into a piecewise-continuous system by introducing proper event-triggered conditions.By constructing appropriate Lyapunov-Krasovskii functions,the sufficient condition of exponential stability for a close-loop system is derived based on delay-dependent stability theory and linear matrix inequality（LMI） techniques. The controller gain and exponential decay rate are obtained by solving a convex optimization problem with LMI constraints. A numerical simulation example is provided to illustrate the effectiveness of the proposed method.