多变量系统的分散式补偿自抗扰控制方法与频域分析

Decentralized Compensated Active Disturbance Rejection Control Method and Frequency Domain Analysis for Multivariable Systems

  • 摘要: 为利用低阶控制器对热力系统中含有高阶大惯性环节的多变量对象进行控制,结合高阶补偿控制和分散式自抗扰控制提出了一种分散式补偿自抗扰控制方法。基于此,通过理论推导给出了系统的闭环传递函数,并根据多变量系统中的逆奈奎斯特阵列设计方法,定量分析了所提出的分散式补偿自抗扰控制与传统分散式控制方法的稳定区域大小。利用实例进行仿真实验,结果表明:分散式补偿自抗扰控制在稳定区域大小、动态性能和鲁棒性上均优于不具有补偿环节的传统分散式自抗扰控制,提高了低阶控制器控制高阶多变量系统的控制性能,有着良好的应用前景。

     

    Abstract: To control multivariable objects with high-order large inertia in a thermal system using a low-order controller, we propose a decentralized compensated active disturbance rejection control method by combining high-order compensation control and decentralized active disturbance rejection control. Consequently, we theoretically derive the closed-loop transfer function of the system. Using the inverse Nyquist array design method in the multivariable system, we quantitatively analyze the stability region size of the proposed decentralized compensated active disturbance rejection control and the conventional decentralized control method. The simulation results show that the decentralized compensated active disturbance rejection control is superior to the conventional decentralized active disturbance rejection control without compensation in terms of stability region size, dynamic performance, and robustness. It improves the control performance of a high-order multivariable system controlled by a low-order controller and has good application prospects.

     

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