基于输入状态稳定的离散广义系统预测控制  

Model predictive control of discrete-time singular systems based on inputto-state stability

作　　者：刘晓华[1] 高婵[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《控制与决策》2015年第12期2137-2144,共8页Control and Decision

基　　金：国家自然科学基金项目(60774016)

摘　　要：针对一类具有持续扰动和输入约束的离散广义系统,研究其鲁棒预测控制器的设计问题.将输入状态稳定的概念引入广义系统预测控制,在quasi-min-max性能指标下,提出了广义系统双模鲁棒预测控制器的设计方法,证明了基于双模鲁棒预测控制器的闭环广义系统输入状态稳定,且具有正则、因果性.数值仿真结果验证了所提出方法的有效性.Robust model predictive control（MPC） is studied for a class of discrete-time singular system subject to persistent disturbance and input constrains. The notion of input-to-state stability is introduced to the model predictive control of singular systems. The design method of the singular system dual-mode MPC is proposed under the index of quasi-min-max. On the basis of the proposed dual-mode MPC approach, it can be proved that the closed-loop discrete-time singular system is inputto-state stable. Finally, the numerical simulation result shows the feasibility and the effectiveness of the proposed method.

关 键 词：模型预测控制 离散广义系统 输入状态稳定 持续扰动 双模控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]