Abstract The improvement of the normal operating mode in gas compression systems performs an essential role in enhancing the process of pumping and transporting the natural gas inside and outside the border of Algeria. In this regards, this paper introduces a novel output-feedback controller design with optimal static matrix gains K, which uses to control and maintain its internal stability by reducing the surge phenomenon appeared clearly in the thermodynamical outputs parameters of the studied centrifugal compressor system. The feedback matrix K is calculated based on transforming the dynamical model using the similarity canonical block transformation (CBT) and determining the block own matrix ℱ o w n by using the famous grey wolf optimizer (GWO). In given view of this study, a comparative investigation carried out, using different optimization methods, and two recent algorithms, to attest the advantages of the proposed controller. The obtained results confirm the internal stability robustness in the presence of disturbances and uncertainty of the system parameters up to 50%. The obtained norm of the proposed controller is | | K | | = 0.69 , which guarantees a comfortable interval of internal stability in closed loop system (CLS), stability interval = [0.26 , 0.60] with minimum possible energy. The three stability measures of compressor system is still ensured comparing with other algorithms [0.0171 , 0.0012 , 0.0276]. The proposed controller eliminates the fluctuation in the outputs of the studied system, the discharge pressure (P2) and the discharge temperature (T2), respectively, i.e. the disappearance of the surge phenomenon completely. we mention that the proposed controller is suitable and applicable only in the parametric and the transformable models.

中文翻译：

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基于块变换和灰狼优化器的新型最优输出反馈控制器的天然气离心压缩机系统内部稳定性改进

摘要 气体压缩系统正常运行模式的改进对于加强阿尔及利亚境内外天然气的抽运和运输过程具有重要作用。在这方面，本文介绍了一种具有最优静态矩阵增益 K 的新型输出反馈控制器设计，用于通过减少所研究的离心压缩机系统的热力学输出参数中明显出现的喘振现象来控制和保持其内部稳定性。反馈矩阵 K 是基于使用相似性规范块变换 (CBT) 转换动力学模型并使用著名的灰狼优化器 (GWO) 确定块自己的矩阵 ℱ own 来计算的。鉴于这项研究，进行了一项比较调查，使用不同的优化方法和两种最近的算法来证明所提出的控制器的优点。获得的结果证实了在存在干扰和系统参数不确定性高达 50% 的情况下的内部稳定性鲁棒性。所提出的控制器获得的范数是 | | 克| | = 0.69 ，这保证了闭环系统 (CLS) 内部稳定的舒适区间，稳定区间 = [0.26 , 0.60] 并具有最小的能量。与其他算法[0.0171,0.0012,0.0276]相比，压缩机系统的三个稳定性措施仍然得到保证。所提出的控制器消除了所研究系统输出的波动，分别是排放压力（P2）和排放温度（T2），即喘振现象完全消失。