Set-membership state estimation approach for discrete-time switched linear systems based on ellipsoidal approximation

This paper presents a new methodology to design a set-membership observer for switched linear system with unknown but bounded process and measurement noises based on the ellipsoidal approach. The proposed scaling technique is reduced in two steps: The time update step and the observation update step in order to derive an upper and lower bounds which frame the system state. The size of the obtained ellipsoids can be minimized by either the trace criterion or the determinant criterion. The proposed approach is illustrated by numerical examples in order to highlight its effectiveness.