模型预测控制系统的低保守稳定性分析  

Stability analysis of a less conservative model predictive control system

作　　者：郝平[1] 张聚[1] 

机构地区：[1]浙江工业大学自动化研究所,杭州310014

出　　处：《清华大学学报（自然科学版）》2008年第S2期1718-1722,共5页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(60604014)

摘　　要：基于显式PWA(piece-wise affine)模型和Lyapunov函数,提出了一种模型预测控制系统的低保守稳定性分析方法。通过在PWA模型的状态分区上,寻找分段二次Lyapunov函数,把闭环预测控制系统的稳定性分析问题转化为线性矩阵不等式(linear matrix inequality,LMI)问题,并应用现有的高效凸规划算法来求解。对PWA模型的状态区域进一步的细化凸划分,以增加找到分段二次Lyapunov函数的可能性,减低闭环系统稳定性分析的保守性。数值仿真计算表明该方法是可行有效的。A piece-wise affine (PWA) model of a closed-loop model predictive control (MPC) system and Lyapunov functions are used for a stability analysis of a less conservative closed loop MPC system.A piece-wise quadratic Lyapunov function is used over the entire state region to transform the stability of the closed-loop MPC system into a linear matrix inequality problem,which can be efficiently solved using available convex programming algorithms.Further convex partitioning of the state s regions increases the poss...

关 键 词：模型预测控制 PWA(piece-wise affine)模型 稳定性分析 分段二次Lyapunov函数 低保守 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]