针对一类具有多面体不确定性的广义系统,提出了一种新的鲁棒模型预测控制器综合算法.采用多Lya-punov函数的线性矩阵不等式方法,即在多面体的每一个顶点采用一个单独的Lyapunov函数,将已有的鲁棒预测控制算法加以改进,得出了一种保守性较低的鲁棒模型预测控制算法,并证明了优化问题的初始可行解可以保证系统的渐近稳定.仿真研究表明了算法的有效性.
A new robust predictive controller synthesis algorithm is proposed for a class of singular systems with polytopic uncertainty.Linear matrix inequalities method with multi-Lyapunov function is adopted.That is to say,a single-Lyapunov function is in each vertex of the polyhedron,which improves the single-Lyapunov function algorithm and comes up with a less conservative robust model predictive control algorithm.At the same time,the initial feasible solution of the optimization problem guarantees the asymptotic stability of the system.A simulation example shows the effectiveness of the method.