A Possible Potential Relative Stability Assessment Method for Linear Control Systems

Xianhong Li, Haibin Yu, Peng Zeng, Mingzhe Yuan, and Lanxiang Sun


Relative stability, linear systems, relative stable distance, relative stability assessment method


Traditional assessment method applies phase margin and amplitude margin of open loop transfer function to assess relative stability of linear systems. This paper presents a possible potential relative stability assessment method (RSAM) for linear systems. The relative stability can be qualitative described by relative stable distance (RSD) which is directly calculated by first column of Routh array or Hurwitz determinant. The RSD may be possible to indicate relative stability of closed- loop system, and RSD may be used to design optimal controller for linear systems. Several numerical examples show the proposed method’s potential usefulness to certain extent.

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