具有数据包丢失及转移概率部分未知的网络控制系统H∞控制

摘要

研究一类具有数据包丢失及状态转移概率部分未知的网络控制系统随机稳定性及H∞控制问题．传感器与控制器之间、控制器与执行器之间存在数据包丢失的网络控制系统被建模成具有4个子系统的跳变系统，4个子系统之间的跳变遵行Markov跳变过程，并具有部分未知的跳变概率．利用Lyapunov稳定性定理及线性矩阵不等式的求解方法得到该类系统随机稳定的充分条件，并给出了相应的∞状态反馈控制器的设计方法．数值仿真结果验证了本文方法的正确性和有效性．%The stochastic stability and H-infinity control problem for networked control systems（NCSs） with data packet dropouts and partly unknown transition probabilities are addressed. Considering the random data packet dropouts occurring in the sensor-to-controller and controller-to-actuator, we model the closed-loop NCS as a discrete-time Markov jump linear system with four modes and partly unknown transition probabilities. Sufficient conditions for the existence of a controller which guarantees the stochastic stability of NCS and satisfies the H-infinity performance requirements are established based on stochastic Lyapunov functions and linear matrix inequality approach. A simulation example illustrates the validity and feasibility of the results.