On the Optimal Control Law for Linear Discrete Time Hybrid Systems
On the Optimal Control Law for Linear Discrete Time Hybrid Systems
复制标题
DOI：
10.1007/3-540-45873-5_11
复制
发表时间：
2002-03
期刊：
影响因子：
--
通讯作者：
A. Bemporad;F. Borrelli;M. Morari
中科院分区：
文献类型：
--
作者：
A. Bemporad;F. Borrelli;M. Morari
本文研究离散时间线性混杂系统的最优控制问题。首先，我们证明了基于二次或线性范数性能准则的有限时间最优控制的状态反馈解的封闭形式是时变分段仿射反馈控制律。然后，我们给出了一个洞察的最优状态反馈解决方案和价值函数的结构。最后，我们简要地描述了如何计算的最优控制律可以通过多参数规划。
In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise afine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming.