Interval Estimation for Switched Systems With Measurement‐Dependent Mode Uncertainty

ABSTRACT 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.