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Data-Driven Predictive Control for Linear Parameter-Varying Systems ?

机译:用于线性参数变化系统的数据驱动预测控制

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Based on the extension of the behavioral theory and the Fundamental Lemma for Linear Parameter-Varying (LPV) systems, this paper introduces a Data-driven Predictive Control (DPC) scheme capable to ensure reference tracking and satisfaction of Input-Output (IO) constraints for an unknown system under the conditions that (i) the system can be represented in an LPV form and (ii) an informative data-set containing measured IO and scheduling trajectories of the system is available. It is shown that if the data set satisfies a persistence of excitation condition, then a data-driven LPV predictor of future trajectories of the system can be constructed from the IO data set and online measured data. The approach represents the first step towards a DPC solution for nonlinear and time-varying systems due to the potential of the LPV framework to represent them. Two illustrative examples, including reference tracking control of a nonlinear system, are provided to demonstrate that the data-based LPV-DPC scheme, achieves similar performance as LPV model-based predictive control.
机译:基于行为理论的延伸和线性参数变化(LPV)系统的基础引理,介绍了一种能够确保输入输出(IO)约束的参考跟踪和满足的数据驱动的预测控制(DPC)方案对于在(i)系统可以以LPV形式表示的条件下的未知系统,并且(ii)提供了包含测量的IO的信息集和系统的调度轨迹。结果表明,如果数据集满足激励条件的持久性,则可以从IO数据集和在线测量数据构建系统的未来轨迹的数据驱动的LPV预测器。该方法由于LPV框架的潜力来表示非线性和时变系统的第一步是表示它们的潜力。提供了包括非线性系统的参考跟踪控制的两个说明性示例,以证明基于数据的LPV-DPC方案,实现了与基于LPV模型的预测控制相似的性能。

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