离散模糊时滞系统的鲁棒LQ/H∞非脆弱控制

针对一类由T-S模糊模型描述的不确定离散非线性时滞系统，讨论其在控制器存在可加性摄动情形下的鲁棒LQ/H_∞非脆弱控制问题。通过构造适当的Lyapunov函数，给出以线性矩阵不等式形式表示的系统时滞依赖稳定的充分条件以及相应的鲁棒LQ/H_∞非脆弱控制器设计方法。数值仿真表明,所构造的控制器不仅能够保证闭环模糊时滞系统的鲁棒渐近稳定性，还能使系统达到一定的H_∞干扰抑制水平。

Robust LQ/H∞ non-fragile control for discrete-time fuzzy systems with time delay

The problem of robust LQ/H∞ non-fragile control is discussed for a class of uncertain discrete-time nonlinear time-delay systems. The system under consideration can be described by Takagi-Sugeno (T-S) fuzzy models in the presence of the additive controller gain perturbations. By constructing an appropriate Lyapunov function, a sufficient condition of delay dependent stability is derived in terms of linear matrix inequalities (LMIs). And a design procedure for the responding robust LQ/H∞ non-fragile controller is also provided. The numerical example demonstrates that the designed controller can not only guarantee robust asymptotic stability of the closed-loop fuzzy time-delay system, but also make the system achieve a H∞ disturbance attenuation level.