Remark on stability margin of Lur'e systems

Author:

Kim Yoonsoo1ORCID

Affiliation:

1. Graduate School of Mechanical and Aerospace Engineering Gyeongsang National University Jinju Korea

Abstract

AbstractIn a recent work, a definition of stability margin (gain and phase margins) for a class of nonlinear systems (Lur'e systems consisting of a linear time‐invariant (LTI) plant and a sector‐constrained nonlinearity) is proposed based on the famous circle criterion. This definition is indeed interesting because the concept of gain and phase margins has been largely limited to linear systems with a single input and a single output (SISO), but it was further established for Lur'e systems with a particular type of sector constraints ( , e.g., saturation). In this paper, the previously established concept is extended to cover Lur'e systems with a general type of sector constraints ( ). It is, however, pointed out that in case of , the definitions of phase margin based on the circle criterion can be misleading and need to be modified or replaced perhaps by a time‐delay margin for Lur'e systems including an integrator, for which the phase margin can be trivially zero.

Funder

National Research Foundation of Korea

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Reference10 articles.

1. G. S. F.Center Rules for the design development verification and operation of flight systems 2021. Goddard Technical Standard (GSFC‐STD‐1000G).

2. K.Wilson Airworthiness certification criteria expanded version of mil‐hdbk‐516b 2005. Aeronautical System Center.

3. Singular perturbation margin and generalised gain margin for nonlinear time-invariant systems

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