随机时延网络控制系统的Markov建模及H∞控制

H_∞ control for Markov model of NCSs with stochastic delay

利用Markov跳变理论讨论了一类具有随机时延以及数据包丢失的网络控制系统的建模方法。其中,系统中的传感器、控制器采用时间驱动,执行器采用事件驱动,传感器的数据采用单包传输。针对网络控制系统被控对象状态无法直接测量得到的问题,提出了一种静态输出反馈H∞控制器设计方法;根据线性矩阵不等式相关理论,通过建立和求解一个凸优化问题,得出了静态输出反馈H∞最优控制律。最后,用仿真例子验证了该方法的可行性以及理论的正确性。

The Markov jump model and analysis of networked control systems （NCSs） with stochastic delay and data packet dropout are addressed, where the sensor node and controller node are time-driven, the actuator node is event-driven and the sampled data are lumped together into single data packet. In view of the plant state of NCSs can＇t be measured directly, the H∞ controller design is presented through static output feedback. By means of the linear matrix inequalities （LMIs） method, the design problem of the H∞ optimal controller is formulated as a convex optimization problem. Finally, the feasibility of the design approach and the validity of the proposed theory are proved through an example.