带有时滞状态的不确定Lur'e-Postnikov系统的鲁棒镇定(英文)

Robust stabilization of uncertain Lur'e-Postnikov systems with state delay

中文关键词  不确定Lur'e-Postnikov系统  鲁棒镇定  Riccati方程或不等式  时滞

英文关键词  uncertain Lur'e Postnikov systems  robust stabilization  Riccati equation/inequality  time delay

中文摘要

      由Lyapunov和一种Razumikhin型的方法, 讨论了带有时滞状态的不确定Lur’e_Postnikov系统的鲁棒镇定. 证明对带有状态时滞和范数有界扰动的不确定Lur’e_Postnikov系统, 若其系统矩阵满足某个代数Riccati不等式, 则可通过某 (静态 )线性状态反馈或 (动态 )状态反馈使其闭环系统是二次稳定的. 同样, 应用一Razumikhin型方法, 对带有时变时滞的一类不确定非线性系统的能稳定性问题, 也给出一个充分条件.

英文摘要

      Using Lyapunov and a Razumikhin type method,robust stabilization of uncertain Lur'e Postnikov systems with delay state is discussed. For uncertain Lur'e Postnikov system with delay state and with some norm bounded perturbations, if its coefficient matrices satisfy an algebraic Riccati inequality, then via a linear static and/or dynamic state feedback, quadratic stability for its closed loop system is guaranteed. Also, using a Razumikhin type appraoch, a sufficient condition is given for the stabilization of a class of uncertain nonlinear systems with time varying delay.