论文标题

离散时间线性系统的Dead-Beat模型预测控制

Dead-beat model predictive control for discrete-time linear systems

论文作者

Zhu, Bing

论文摘要

在本文中,提出了模型预测控制(MPC)策略,以实现有或没有状态和控制约束的线性系统的死胜控制。在不受约束的MPC中,可以通过将控制范围设置为系统维度并添加终端平等约束来确保致命性能。事实证明,无约束的无限MPC等同于线性无限控制。提出的约束无限MPC的设计是通过将控制范围设置为等于系统维度并仅惩罚终端成本来设计。从理论上证明了递归的可行性和致命表现。

In this paper, model predictive control (MPC) strategies are proposed for dead-beat control of linear systems with and without state and control constraints. In unconstrained MPC, deadbeat performance can be guaranteed by setting the control horizon to the system dimension, and adding an terminal equality constraint. It is proved that the unconstrained deadbeat MPC is equivalent to linear deadbeat control. The proposed constrained deadbeat MPC is designed by setting the control horizon equal to the system dimension and penalizing only the terminal cost. The recursive feasibility and deadbeat performance are proved theoretically.

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