论文标题
关于有限控制的MPC的稳态行为，并应用于高精度功率放大器
On the Steady-State Behavior of Finite-Control-Set MPC with an Application to High-Precision Power Amplifiers
论文作者
论文摘要
通过增加开关功率放大器的精确要求的激励，本文解决了具有有限控制集合（FCS）的离散时间线性系统模型预测控制（MPC）设计的问题。通常，现有的FCS-MPC解决方案惩罚输出跟踪误差和控制输入率变化率，这可能会导致可用离散控制输入和不可预测的稳态行为之间的任意切换。为了改善FCS-MPC的稳态行为，在本文中，我们设计了一个成本函数，该成本函数会惩罚有关状态和输入稳态限制周期的跟踪误差。我们证明，如果将合适的终端成本添加到FCS-MPC算法收敛到限制周期中。在高精度运动系统的功率放大器的直接切换控制中，已开发的方法已验证，在该控制器中，它显着改善了稳态输出电流波纹。
Motivated by increasing precision requirements for switched power amplifiers, this paper addresses the problem of model predictive control (MPC) design for discrete-time linear systems with a finite control set (FCS). Typically, existing solutions for FCS-MPC penalize the output tracking error and the control input rate of change, which can lead to arbitrary switching among the available discrete control inputs and unpredictable steady-state behavior. To improve the steady-state behavior of FCS-MPC, in this paper we design a cost function that penalizes the tracking error with respect to a state and input steady-state limit cycle. We prove that if a suitable terminal cost is added to the FCS-MPC algorithm convergence to the limit cycle is ensured. The developed methodology is validated in direct switching control of a power amplifier for high-precision motion systems, where it significantly improves the steady-state output current ripple.
