不确定时滞系统的观测器型鲁棒H∞控制--LMI方法

针对一类不确定时滞系统的鲁棒H∞稳定控制，设计了基于观测器的鲁棒H∞控制器．假定系统的不确定性是时变的且具有范数有界．基于线性矩阵不等式（linear matrix inequality-LMI），通过构造Lyapunov泛函，选取适当的观测器，给出了控制器的设计方法，通过求解相应的线性矩阵不等式，就可以得到基于观测器的H∞控制器，并证明了该控制器在使闭环系统渐近稳定的同时，又能保证闭环系统满足一定的H∞性能指标．最后，数值算例验证了所给方法的有效性．

Robust H∞ Control Based on Observer for Uncertain Systems with Time-delay--LMI Approach

Authors focuses on the designing of the robust H_ stabilization controller based on observer for a class of uncertain time-delay systems. Under the assumption that the uncertainty is time-varying and norm-bounded, based on LMI, by constructing Lyapunov functions and selecting proper observer, Bring forward an approach for designing H_ controller based on observer. The H_ controller can be obtained by solving the corresponding linear matrix inequality. This approach is proved to be able to make the closed-loop systems asymptotically stable, as well as satisfying H_ properties. At last, a numerical example is presented to illustrate the validity of this approach.