通信受限网络控制系统的H∞ 控制

针对一类通信受限的网络控制系统,研究其随机稳定性和 ∞控制问题.考虑到系统存在随机丢包、时延、对数量化和概率传感器故障等因素,提出一种新的网络控制系统模型.基于Lyapunov稳定性理论,得到了系统随机稳定性的充分条件,并利用线性矩阵不等式技术,给出了系统 ∞控制器的设计方法.数值仿真算例验证了所得结论的有效性.

H∞ control for networked control systems with communication constraints

This paper is concerned with the problems of H∞ control for networked control systems with communication
constraints. An improved networked control system model is proposed, while the effects of logarithmic quantization, packet
dropout, delay and probabilistic sensor fault are considered simultaneously. Sufficient condition for the stochastic stability of
the closed-loop system is given in terms of linear matrix inequality. A controller is designed such that the closed-loop system
is stochastic stable and achieves the given disturbance attenuation level. Numerical example illustrates the effectiveness of
the proposed method.