Further Result on Interval Estimation for Switched Linear Systems based on Zonotopic techniques

This paper investigates state estimation for discrete-time switched linear systems subject to unknown but bounded disturbances and measurement noises. The proposed method consists of two steps. First, a switched L
∞
-based observer attenuating the effect of uncertainties is designed to obtain point estimate of the system state. Second, interval estimation is achieved by integrating robust point estimation with zonotopic analysis techniques. The observer gains are calculated by solving Linear Matrix Inequality (LMI) derived using a multiple Lyapunov function under an Average Dwell Dime (ADT) switching signal. Finally, the efficiency of the proposed method is demonstrated through a numerical example.