JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (11): 60-64.doi: 10.6040/j.issn.1671-9352.0.2017.110

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Delay margin of linear multi-input multi-output system

JU Pei-jun1,2, WANG Wei1*   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
    2. School of Mathematics and Statistics, Taishan University, Taian 271021, Shandong, China
  • Received:2017-03-18 Online:2017-11-20 Published:2017-11-17

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Abstract: Previous research works of linear multi-input and multi-output system were based on one unstable pole. We study the system with two unstable poles and give some upper bounds of the delay margin. By constructing some suitable bilinear transforms and using the frequency domain method, we obtain some estimations of the delay margin of systems for the two cases with two unstable real poles and a pair of unstable conjugate complex poles. Our results are of considerable generality, including the known results as particular cases. The results of calculated example show the effectiveness of the proposed method.

Key words: multi-input multi-output system, frequency domain method, delay margin

CLC Number: 

  • TP13
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