Fast algorithm for constrained linear system control via geometric techniques
基于几何方法的约束线性系统控制快速算法(英文)

A new method was proposed to solve the control problem for linear system with constrained states and control constraints. Polytope and Ellipsoidal techniques had been used for constrained system control, but they were either too complex or too conservative for many applications. Based on the mathematic analysis, the algorithm with simple computations was proposed by optimizing the computation of the level sets. Simulations show that the computation of this new method is much simpler than before and all the initial points can be steered to the given set properly.