【摘要】 研究了带离散时滞和分布时滞的不确定奇异摄动系统的鲁棒稳定问题.首先采用广义系统模型方法,将所研究的系统转化为与之等价的广义系统;然后提出对应的Lyapunov-Krasovskii泛函,得到了时滞相关的鲁棒稳定性判据,并在此基础上给出了鲁棒控制器设计,结论以矩阵不等式形式给出;最后仿真算例说明了方法的有效性.更多还原

【Abstract】 The Robust stability for uncertain singularly perturbed with discrete delay and distributed delay is discussed.The singularly perturbed system is equivalently represented as a descriptor system.Then a Lyapunov-Krasovskii function is proposed.The delay dependant stability sufficient condition is presented to ensure the singularly perturbed system to be asymptotically stable.The state-feedback controller is designed.Finally,simulation examples show the effectiveness of the proposed method.更多还原