【作者】 杨春雨； 张庆灵； 周林娜；

【Author】 YANG Chun-yu, ZHANG Qing-ling, ZHOU Lin-na (College of Science, Northeastern University, Shenyang 110004, China.

【机构】 东北大学理学院；

【摘要】 讨论一类Lur’e型广义系统(LDS),把Lur’e型正常系统(LSS)的绝对稳定性概念、相关术语和圆判据推广到 LDS．主要结果包括两方面:其一,如果LDS的前馈通道是无脉冲的广义系统,则现有的关于LSS的圆判据可以直接推广到LDS;其二,如果系统前馈通道不是无脉冲的,则给出一个修正后的Nyquist判据,用来验证闭环传递函数是适定且稳定的,进而得到一个新的圆判据．最后通过数值算例验证所得结果的有效性．更多还原

【Abstract】 A Lur’e type descriptor system (LDS) is considered. The classical concept of absolute stability for Lur’e type standard state-space systems (LSS), related terminologies and the well-known circle criterion are extended to LDS. The main results include two points: one shows that the existing circle criterion for LSS can be generalized directly to LDS if the forward path of LDS is an impulsive-free linear time-invariant descriptor system; the other one deals with the case that the forward path is not impulsive-free, a modified Nyquist criterion which can verify the property and stability of the closed-loop transfer function, furthermore is given, then a new circle criterion is derived. Finally, numerical examples are given to illustrate the effectiveness of the obtained results.更多还原