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研究T-S模糊广义系统的时滞依赖稳定与镇定问题。利用Lyapunov泛函方法,得到一个线性矩阵不等式(LMIs)形式的时滞依赖稳定条件。本文所提方法考虑以前方法中通常忽略的有用的项,引入松弛变量矩阵和自由权重矩阵,估计Lyapunov泛函导数的上界;在此基础上,设计状态反馈模糊控制器,保证了闭环系统是局部正则、局部无脉冲和渐近稳定的。所得结果无需矩阵分解和利用锥补线性化方法进行迭代,最后通过两个仿真示例表明了本文结果具有较小的保守性。
The delay-dependent stability and stabilization of T-S fuzzy descriptor systems are studied. Using the Lyapunov functional approach, a delay-dependent stability condition in the form of linear matrix inequalities (LMIs) is obtained. The method proposed in this paper considers the useful items which are usually neglected in the previous methods and introduces the relaxation variable matrix and the free weight matrix to estimate the upper bounds of Lyapunov functional derivatives. Based on this, we design the state feedback fuzzy controller to ensure that the closed-loop system is Local regular, local pulseless and asymptotically stable. The results do not need matrix decomposition and cone linear interpolation method iteration, and finally through two simulation examples show that the results of this paper with less conservative.