多时滞Lurie网络控制系统动态输出反馈控制器设计

Design of dynamic output feedback controller for lurie networked control systems with multiple delays

针对一类具有非理想网络状况,如时变网络时滞、分组丢失和乱序等问题的基于动态输出反馈控制器的网络控制系统,建立了多时滞Lurie网络控制系统模型,应用Lyapunov-Krasovskii泛函方法,保留Lyapunov-Krasovskii泛函导数中经常被忽略的有用项,提出了一种具有更低保守性的多时滞Lurie网络控制系统时滞相关稳定条件。并通过增加一等式约束将非线性矩阵不等式转化为线性矩阵不等式表示的可解性问题,给出了一种动态输出反馈控制器的设计方法。数值实例表明该设计方法具有更低的保守性。

For a class of network control system based on dynamic output feedback controller with non-ideal network conditions, such as time-varying network-induced delay, data packet loss and out-of-order problems. The Lurie net-worked control system was modeled as a multiple delay Lurie system. By employing a Lyapunov-Krasovskii functional, some useful terms have been retained, which were used to be discarded in the derivative of Lyapunov-Krasovskii functional, an improved delay-dependent stability conditions for Lurie NCS was proposed. Furthermore, by adding an equation constraint, it was transformed into a solvability problem described by linear matrix inequality; the resulting condition was extended to design a dynamic output feedback controller. Numerical examples are provided to show the results are less conservative.