一类大时滞非线性网络控制系统的H_∞保成本控制

Cost-guaranteed H-infinity control for a class of nonlinear networked control systems with long time-delay

本文研究一类大时滞不确定非线性网络控制系统的H∞保成本控制问题.首先将具有随机大时滞的网络控制系统模型化为具有不确定系数的离散时间系统模型.然后利用Lyapunov稳定性理论和线性矩阵不等式方法,给出H∞保成本控制律的存在条件和H∞保成本控制器的设计方法.进而通过求解凸优化问题得到最优鲁棒H∞保成本控制器.最后仿真结果验证了该控制算法的有效性.

The H-infinity cost-guaranteed control problem is considered for a class of uncertain nonlinear networked control systems（NCSs） with long time-delay. Firstly, the NCS model with a random long time-delay is transformed into a discrete-time system model with uncertain parameters; and then, the Lyapunov stability theory and the linear matrix inequality（LMI） approach are employed to develop the existence condition and to design the H-infinity cost-guaranteed controller. Furthermore, the optimal robust H-infinity cost-guaranteed controller is obtained by solving the corresponding convex optimization problem. Finally, simulation results show the validity of the proposed control algorithm.