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基于H和μ分析的具有实际结构化参数不确定性的自动电压调节器(AVR)的鲁棒控制。

Robust control of automatic voltage regulator (AVR) with real structured parametric uncertainties based on H and μ-analysis.

作者信息

Modabbernia Mohammadreza, Alizadeh Behnam, Sahab Alireza, Moghaddam Maziar Mirhosseini

机构信息

Department of Electrical Engineering, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

出版信息

ISA Trans. 2020 May;100:46-62. doi: 10.1016/j.isatra.2020.01.010. Epub 2020 Jan 13.

DOI:10.1016/j.isatra.2020.01.010
PMID:31983418
Abstract

Within this work, a novel controller in terms of H infinity (H) and structured singular value decomposition has been presented to provide the robust performance of the Automatic Voltage Regulator (AVR) system Six real structured uncertainties in actuator, exciter and generator have been assumed for the linear transfer functions of the AVR system. Each uncertain parameter varies between a minimum and a maximum value due to the load variations in a period of time and aging effects over the life time. The efficiency of the presented design lies on two main reasons. The first is the simultaneous considering of the output disturbances, sensor noises and system uncertainties in the controller design approach. The second is the non-conservative modeling of all six structured parameters in the required μ-synthesis P-Δ-K configuration. By suboptimal H control design technique and μ-analysis theorem, a single input single output (SISO) controller comprising a closed loop system with μ<1 is obtained. The offered controller's supremacy is represented through comparison of its performance with some other optimized PID, PIDD fractional order PID (FOPID), fuzzy + PID and Interval Type-2 fuzzy logic controllers by heuristic optimization algorithms. The simulation outcomes indicate that the provided robust controller for the AVR system has the better performance than the other optimized and fuzzy controllers in a wide range of the uncertainties. Also, the better behavior of the intended robust controller was shown in two benchmarks: a single machine connected to a 230kV network, and a four-machine two-area test system.

摘要

在这项工作中,提出了一种基于H无穷(H)和结构化奇异值分解的新型控制器,以实现自动电压调节器(AVR)系统的鲁棒性能。对于AVR系统的线性传递函数,假设了执行器、励磁机和发电机中的六个实际结构化不确定性。由于一段时间内的负载变化和整个生命周期内的老化影响,每个不确定参数在最小值和最大值之间变化。所提出设计的有效性基于两个主要原因。第一个原因是在控制器设计方法中同时考虑输出干扰、传感器噪声和系统不确定性。第二个原因是在所需的μ综合P-Δ-K配置中对所有六个结构化参数进行非保守建模。通过次优H控制设计技术和μ分析定理,获得了一个单输入单输出(SISO)控制器,其闭环系统的μ<1。通过启发式优化算法,将所提供控制器的性能与其他一些优化的PID、PIDD分数阶PID(FOPID)、模糊+PID和区间二型模糊逻辑控制器进行比较,展示了该控制器的优越性。仿真结果表明,所提供的AVR系统鲁棒控制器在广泛的不确定性范围内比其他优化和模糊控制器具有更好的性能。此外,在两个基准测试中展示了预期鲁棒控制器的更好性能:一个单机连接到230kV网络,以及一个四机两区测试系统。

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