一类多包传输网络控制系统的H∞鲁棒控制

研究了一类不确定时延多包传输网络控制系统的最优H∞控制问题. 针对传感器时钟驱动、控制器和执行器事件驱动的多包传输网络控制系统, 考虑不大于一个采样周期的不确定时延和有限能量的外部扰动, 提出一种基于模型的反馈控制策略, 利用Lyapunov理论推导了H∞控制律存在的充分条件, 通过求解矩阵不等式约束的优化问题得到最优H∞控制律. 数值仿真表明了所用方法的有效性.

H-infinity control for a class of networked control systems with multiple packet transmission

The optimal H-infinity control problem for a class of networked control systems (NCS) with multiple packet transmission is studied. For networked control systems with clock-driven sensors and event-driven controllers and actuators, when the time-delay is uncertain and less than one sampling period and the external disturbance is limited, the modelbased control scheme is proposed, and the sufficient condition of the existence of H-infinity control law is derived by using Lyapunov theory. The optimal H-infinity controller law is obtained through solving a convex optimization problem constrained by matrix inequalities. A numerical simulation example shows the validity of the proposed method.