基于随机输入状态稳定的It型系统H_∞预测控制  

H_∞ Model Predictive Control for It-type Systems Based on Stochastic Input-to-state Stability

作　　者：絮晓 刘晓华[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2016年第3期205-210,共6页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(61174097)

摘　　要：针对一类具有持续扰动和控制约束的连续时间It型系统,研究其H∞预测控制问题.用随机输入状态稳定刻画系统的稳定性,基于Lyapunov函数、It公式和线性矩阵不等式(LMI)方法,通过求解带有终端代价函数的min-max优化问题,得到保证闭环系统随机输入状态稳定的H∞预测控制器.数值仿真验证了方法的有效性.H∞model predictive control for a class of Ito-type systems subject to persistent disturbances was concerned. The stability of the system was described by the stochastic input-to-state stability. The min-max optimal problem with terminal cost function was solved by using Lyapunov function,It formula and LMIs. The H∞model predictive control law and the sufficient conditions for its existence to keep the closed-loop system stochastic input-to-state stability were also given. Finally,a numerical simulation shows the effectiveness of the proposed method.

关 键 词：Ito型系统 模型预测控制 H∞控制 随机输入状态稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]