Achievable delay margin using LTI control for plants with unstable complex poles

作者：Ju, Peijun; Zhang, Huanshui^*

来源：Science China Information Sciences, 2018, 61(9): 092203.

DOI：10.1007/s11432-017-9185-6

• delay margin
• systems with time-delay
• time-invariant systems
• unstable complex poles
• frequency domain method

We consider the achievable delay margin of a real rational and strictly proper plant, with unstable complex poles, by a linear time-invariant (LTI) controller. The delay margin is defined as the largest time delay such that, for any delay less than this value, the closed-loop stability is maintained. Drawing upon a frequency domain method, particularly a bilinear transform technique, we provide an upper bound of the delay margin, which requires computing the maximum of a one-variable function. Finally, the effectiveness of the theoretical results is demonstrated through a numerical example.

• 出版日期2018-9
• 单位山东大学; 泰山学院