On-line switching signal estimation of switched linear systems with measurement noise

In this paper, we study a switching signal estimation problem for continuous time switched linear control systems with measurement noise. Inspired by the work of [8], we first propose a generalized minimum distance criterion to estimate the active mode of the plant with inputs. Then we propose an implementable on-line robust switching signal estimation algorithm to detect the switching time with guaranteed precision, where some update condition and threshold condition are checked all the time. Under the update and threshold conditions, we detect the switching time within a predetermined time interval after the switching occurred.