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针对一类时滞广义系统,讨论其时滞相关非脆弱H_∞控制问题。通过构造Lyapunov-Krasovskii泛函,利用线性矩阵不等式方法和最新建立的积分不等式,给出了时滞广义系统的鲁棒H_∞控制的时滞相关判据,设计非脆弱记忆反馈控制器,使得时滞广义系统正则、无脉冲、渐近稳定且满足H_∞范数小于给定界γ。数值例子与已有文献进行比较,说明了所给方法的有效性及优越性。
For a class of time-delay singular systems, the delay-dependent non-fragile H_∞ control problems are discussed. By constructing the Lyapunov-Krasovskii functional, using the linear matrix inequality method and the newly established integral inequality, the delay-dependent criterion for robust H_∞ control of a singular system with time-delay is given. The non-fragile memory feedback controller is designed so that the time- The generalized system with time delay is regular, pulseless, asymptotically stable and satisfies the H_∞ norm less than the given bound γ. The numerical example is compared with the existing literature, which shows the effectiveness and superiority of the given method.