Estimation of robust invariant set for switched linear systems using recursive state updating and robust invariant ellipsoid
SICE Journal of Control, Measurement, and System Integration, Volume 14, 2021 - Issue 1
Authors: Hiroshi Okajima and Kakeru Fujinami
https://doi.org/10.1080/18824889.2021.1918372(T&F Open access)
Abstract: This paper provides an analysis method of a robust invariant set for discrete-time linear switched systems with peak-bounded disturbances. In the case of a switched linear system, it is challenging to analyse the robust invariant set accurately than that of the linear time-invariant system. We propose a novel method to estimate a robust invariant set using a combination of a recursive state updating and an invariant ellipsoid for a common Lyapunov function. The effectiveness of the estimation accuracy by the proposed method is illustrated using numerical examples.
