Interval Estimation for Switched Systems With Measurement-Dependent Mode Uncertainty

This paper proposes an interval estimation method for discrete-time switched systems with measurement-dependent mode uncertainty. The proposed method is realized based on reachability analysis and measurement update. In order to solve the inaccurate measurement value judgment mode problem, a new reachability analysis algorithm, based on zonotopes and boxes, is proposed to obtain the guaranteed mode and guaranteed state estimation. To improve interval estimation accuracy, a 1-norm optimization method is proposed to reduce the conservatism of computing intersections, and a method based on boxes is proposed to reduce the interval conservatism caused by the union computation process.