The School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China.
Faculty of Mathematics and Physics, Huaiyin Institute of Technology, China.
ISA Trans. 2019 Dec;95:1-10. doi: 10.1016/j.isatra.2018.12.029. Epub 2018 Dec 21.
In this paper, the dynamic output feedback H control problem is considered for two-dimensional discrete fuzzy systems described by the second Fornasini-Marchesini state-space model. By introducing novel slacked matrices, sufficient criteria are established to guarantee an H noise attenuation of the resulting closed-loop system. Then the proposed output feedback H controller design method is applied to one-dimensional discrete-time fuzzy systems. It is worth mentioning that there is no rank constraints to system matrices. Moreover, the sufficient criteria are expressed as strict linear matrix inequalities, which can be effectively solved via MATLAB LMI toolbox. Finally, the effectiveness and advantage of the proposed approach are shown through two simulation examples.
本文针对由二阶 Fornasini-Marchesini 状态空间模型描述的二维离散模糊系统，研究了动态输出反馈 H 控制问题。通过引入新的松弛矩阵，建立了充分条件，以保证闭环系统的 H 噪声衰减。然后将所提出的输出反馈 H 控制器设计方法应用于一维离散时间模糊系统。值得一提的是，对系统矩阵没有秩约束。此外，充分条件表示为严格的线性矩阵不等式，可以通过 MATLAB LMI 工具箱有效地解决。最后，通过两个仿真示例展示了所提出方法的有效性和优势。
