连续时间多面体不确定系统的鲁棒预测控制  

Robust model predictive control for continuous-time polytopic uncertain systems

作　　者：刘晓华[1] 韩春艳[2] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025 [2]山东大学控制科学与工程学院,山东济南250061

出　　处：《系统工程与电子技术》2008年第2期312-315,共4页Systems Engineering and Electronics

基　　金：山东省自然科学基金资助课题(Y2005G01)

摘　　要：运用线性矩阵不等式方法,研究连续时间多面体不确定系统的鲁棒预测控制问题。通过在线求解无穷时域二次型性能指标下的"最小-最大"优化问题,给出了分段连续的状态反馈控制器存在的充分条件。运用可控不变集理论,解决在线优化问题的可行性,证明了初始时刻的可行解可以保证闭环系统渐近稳定。仿真证明了控制算法的有效性。The synthesis method of robust model predictive control is presented for continuous-time systems with polytopic uncertainties. A piecewise constant control sequence is obtained by minimizing the worst-case linear quadratic objective function. At each sampling time, the sufficient conditions on the existence of the state feedback control are given and expressed as a set of linear matrix inequalities. Closed-loop stability and feasibility retention over the time are proved. Simulation results show the effectiveness of the control algorithm.

关 键 词：鲁棒预测控制 线性矩阵不等式 可控不变集 多面体不确定系统 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]