Finite Control Set Model Predictive Control (FCS-MPC) is an alternative to conventional linear controllers in power converters due to its attractive properties such as its conceptual simplicity, flexibility, direct consideration of non linearities as well as constraints, and fast control response. This last feature imposes computational constraints and short prediction horizons are therefore needed. In fact, in many applications an horizon one FCS-MPC controller is used. However, using FCS-MPC with a short prediction horizon in topologies that exhibit non-minimum phase behavior such as active-front-end rectifiers, dc-dc boost converters, and Z-source converters, among others, may lead to control issues. This work studies the origin of these control issues using nonlinear control theory considering a dc-dc boost converter as a case study. It is shown that the difficulty to directly control the converter output voltage using short horizon FCS-MPC is the resulting unstable internal dynamic, as the short horizon FCS-MPC controller acts like an input-output linearizing controller. To solve the problem of the unstable internal dynamic, a short horizon FCS-MPC controller based on input-state linearization is proposed allowing correct operation of the system. Experimental results show the feasibility of the proposal.

中文翻译：

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基于输入状态线性化的非最小相位Boost型转换器中的稳定的最短视界FCS-MPC输出电压控制

有限控制集模型预测控制（FCS-MPC）是功率转换器中常规线性控制器的替代产品，因为它具有吸引人的特性，例如概念简单，灵活性，直接考虑非线性以及约束条件以及快速的控制响应。最后一个特征强加了计算约束，因此需要较短的预测范围。实际上，在许多应用中，仅使用一种水平的FCS-MPC控制器。但是，在具有非最小相位行为的拓扑中使用具有较短预测范围的FCS-MPC，例如有源前端整流器，dc-dc升压转换器和Z源转换器等，可能会导致控制问题。这项工作使用非线性控制理论研究了这些控制问题的根源，并以DC-DC升压转换器为例。结果表明，使用短视野FCS-MPC直接控制转换器输出电压的困难是由此产生的不稳定内部动态，因为短视野FCS-MPC控制器的作用类似于输入输出线性化控制器。为了解决内部动态不稳定的问题，提出了一种基于输入状态线性化的短视频FCS-MPC控制器，可以使系统正确运行。实验结果表明了该方案的可行性。提出了一种基于输入状态线性化的短视距FCS-MPC控制器，该控制器可以使系统正确运行。实验结果表明了该方案的可行性。提出了一种基于输入状态线性化的短视距FCS-MPC控制器，该控制器可以使系统正确运行。实验结果表明了该方案的可行性。