【作者】 张先明； 吴敏； 佘锦华；

【Author】 ZHANG Xian-Ming WU Min SHE Jin-Hua(School of Information Science and Engineering, Central South University, Changsha 410083)(School of Mathematical Science and Computing Technology,Central South University, Changsha 410083)

【机构】 中南大学信息科学与工程学院； 东京工科大学工学部；

【摘要】 讨论了同时具有状态时滞与输入时滞的线性系统的时滞相关鲁棒H∞控制问题。利用积分不等式,引入矩阵分解思想,采用Lyapunov-Krasovskii泛函方法,获得了系统经无记忆状态反馈后不仅内部稳定并且具有给定的H∞性能γ的基于LMI的时滞相关充分条件,无需对原系统进行模型变换。数值例子表明了本文方法的有效性。更多还原

【Abstract】 A design method for the robust H∞ control of an uncertain linear system with both state delay and input delay is discussed. The integral inequality in combination with matrix decomposition technique and the Lyapunov-Krasovskii functional method are used to derive a new delay-dependent sufficient condition based on LMI which can guarantee that the system is not only internally stable but also with the prescribed H∞ performance via memoryless state feedback. The proposed method employs neither a model transformation nor a bounding technique for cross terms. Finally, a numerical example demonstrates that the method proposed in this paper is effective.更多还原