基于多面体方法的约束线性系统控制算法的简化

Simplified Algorithm for Constrained Linear System Control via Polytope Techniques

为了解决基于多面体方法的约束线性系统控制算法的计算复杂性 ,通过优化水平集计算方法实现了多面体方法的简化计算 .同时对简化算法的水平集计算中空间损失带来的控制时间增加问题 ,提出了一种新的控制量计算方法 .仿真结果表明 ,新算法简化了多面体方法的计算 。

Polytope techniques do well in controlling constrained system control but the complex geometric computations for some systems prevent them from being widely used. For such problems, the simplified algorithm based on computations of polytopes, is proposed in this paper. The computations are simplified by optimizing the algorithm for computing the level sets. For the problem of increase in time caused by the spaces lost in the process of simplification, a new method for computing the control inputs is proposed. The results of the simulation show, that computations with the new algorithm are much simpler than polytope techniques, the control time is shorter than in ellipsoidal techniques and the range of control is higher.