论文部分内容阅读
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。
Based on the explicit PWA (piece-wise affine) model and the Lyapunov function, a low-conservative stability analysis method for model predictive control system is proposed. By looking for the piecewise quadratic Lyapunov function on the state partition of PWA model, the stability analysis problem of the closed-loop predictive control system is transformed into the problem of linear matrix inequality (LMI), and the existing high-efficiency convex programming To solve. The subdivision of the state region of PWA model is further refined to increase the probability of finding a piecewise quadratic Lyapunov function and to reduce the conservativeness of the stability analysis of the closed-loop system. Numerical simulation shows that this method is feasible and effective.