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Robustness analysis and tuning of generalized predictive control using frequency domain approaches

机译：频域方法的鲁棒性分析和广义预测控制的调整

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摘要

The paper presents a new frequency-domain methodology to explicitly address the robustness margins for analysis and tuning of generalized predictive control (GPC). The GPC is formulated in two-degree-of-freedom configuration to allow for simultaneous execution of robustness analysis and frequency characteristic shaping. The underlying idea is to present a robust tuning scheme for CPC scheme by synthesizing some sensitivity functions in discrete-time domain, quantifying the relevant cause-and-effect perturbations, in order to shape them so that the effects of influences can be reduced in a specific frequency range. Several frequency-domain templates have been introduced to practically demonstrate usefulness of output, noise, and input sensitivity functions as complementing analysis tools for robust tuning of GPC. The proposed method ensures robust adjustments of the non-trivial tuning of GPC free parameter knobs through simultaneous realization of robustness analysis and frequency characteristic shaping. The method can hence be utilized as a powerful method for tuning of GPC for a wide range of single-input single-output (SISO) linear systems. Illustrative simulation examples have been conducted to explore the effectiveness of the proposed method.
机译：本文提出了一种新的频域方法，以明确解决针对广义预测控制（GPC）进行分析和调整的鲁棒性裕度。 GPC采用两自由度配置，可以同时执行鲁棒性分析和频率特性整形。基本思想是通过在离散时域中合成一些敏感度函数，量化相关的因果扰动，从而对它们进行整形，从而在CPC方案中提出一种鲁棒的调优方案，从而可以减少影响。具体的频率范围。引入了几个频域模板，以实际证明输出，噪声和输入灵敏度功能的有用性，作为对GPC进行稳健调整的补充分析工具。所提出的方法通过同时实现鲁棒性分析和频率特性整形来确保对GPC自由参数旋钮的重要调整进行鲁棒的调整。因此，该方法可以用作针对各种单输入单输出（SISO）线性系统进行GPC调整的强大方法。已经进行了说明性的仿真示例，以探索所提出方法的有效性。

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