基于动态输出反馈的互联大系统重叠分散控制

李小华,刘洋,高佳旺

系统科学与数学 ›› 2014, Vol. 34 ›› Issue (7) : 862-875.

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系统科学与数学 ›› 2014, Vol. 34 ›› Issue (7) : 862-875. DOI: 10.12341/jssms12381
论文

基于动态输出反馈的互联大系统重叠分散控制

    李小华,刘洋,高佳旺
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OVERLAPPING DECENTRALIZED CONTROL BASED ON DYNAMIC OUTPUT FEEDBACK FOR LARGE-SCALE INTERCONNECTED SYSTEMS

    LI Xiaohua ,LIU Yang, GAO Jiawang
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摘要

主要研究一类基于动态输出反馈的环型互联大系统鲁棒重叠分散控制问题. 根据大系统包含原理的约束条件, 对系统进行特殊重叠结构分解, 在扩展空间中分解为一系列两两子系统对, 为每个两两子系统对分别设计动态输出反馈控制器, 然后收缩回原空间, 实现对该互联大系统的重叠分散控制. 在控制器设计中, 采用了 Lyapunov 理论和线性矩阵不等式(LMI)方法, 推导了系统稳定的充分条件, 给出了动态输出反馈控制器的设计方法, 并用遗传算法对设计参数进行了优化, 从而进一步优化了设计结果. 由于控制器设计时仅针对两两子系统, 因此该方法避免了直接采用LMI方法因子系统过多, 维数过大引起的LMI求解上的困难. 最后将该方法应用到一个三区域互联电力系统的自动发电控制(AGC)设计中, 仿真结果证明了此方法的可行性及优越性.

Abstract

Robust overlapping decentralized control problem based on dynamic output feedback is studied for a class of large-scale interconnected systems with loop structure in this paper. According to the restriction conditions of Inclusion Principle of large-scale systems, the special overlapping structure decomposition process is carried on. The large scale system is decomposed into a series of pair-wise subsystems in the expanded space. The dynamic output feedback controllers of each pair-wise subsystem are designed, and then they are contracted to the original space. Overlapping decentralized control of the large-scale system is achieved. In controller design, Lyapunov theory and LMI approach are used to obtain the sufficient condition for stability of the overall system. The design method of dynamic output feedback controllers is given. And the design parameters are optimized by using genetic algorithm in design process, thus the design results are further optimized. Because the controllers are designed only for each pair-wise subsystem, the method can avoid the difficulty in solving LMI with high dimension led by too many subsystems for direct LMI method. Finally, the proposed method is applied to AGC control design of a three-area interconnected power system. The simulation results show that the performances of the designed controllers using proposed method are better than that by direct LMI approach.

关键词

环型互联大系统 / 动态输出反馈 / 系统包含原理 / 线性矩阵不等式(LMI) / 重叠分散控制.

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李小华,刘洋,高佳旺. 基于动态输出反馈的互联大系统重叠分散控制. 系统科学与数学, 2014, 34(7): 862-875. https://doi.org/10.12341/jssms12381
LI Xiaohua ,LIU Yang, GAO Jiawang. OVERLAPPING DECENTRALIZED CONTROL BASED ON DYNAMIC OUTPUT FEEDBACK FOR LARGE-SCALE INTERCONNECTED SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2014, 34(7): 862-875 https://doi.org/10.12341/jssms12381
中图分类号: 37C75    37N35   
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