基于切换模糊模型和分段Lyapunov函数的T-S模糊系统时滞依赖<EM>H<SUB>∞</SUB></EM>控制

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基于切换模糊模型和分段Lyapunov函数的T-S模糊系统时滞依赖H_∞控制

1.
School of Science, Xidian University, Shaanxi Xi'an 710071, P.R. China;
2.
School of Mathematics and Information Engineering, Taizhou University, Taizhou 317000, P.R. China

摘要: 研究了离散时滞T-S模糊系统的H无穷控制问题. 首先, T-S模糊系统被转换成等价的切换模糊系统, 基于分段Lyapunov函数, 给出了该系统带有H无穷性能的时滞依赖稳定化控制方法. 所得结论可以用一组线性矩阵不等式表示. 由于考虑了子系统间的相互关系, 因此所得结论较以往结果具有更小的保守性. 最后, 仿真例子说明了所提方法的有效性.
- 时滞依赖 /
- 模糊系统 /
- 线性矩阵不等式 /
- 分段Lyapunov函数
Abstract: This paper studies the problem of H∞ control for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays. The T-S fuzzy system is transformed to an equivalent switching fuzzy system. Consequently, the delay-dependent stabilization criteria with H∞ performance are derived for the switching fuzzy systems based on the piecewise Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered in each subregion, and accordingly the proposed conditions are less conservative than the previous results. Finally, a design example is given to show the validity of the proposed method.
- Delay-dependent /
- fuzzy systems /
- linear matrix inequalities (LMIs) /
- piecewise Lyapunov function