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The note is devoted to the interval observer design problem for discrete-time switched systems. By designing a suitable interval observer, it is convenient to achieve the interval estimation bounds of system states and reduce the effect of the unknown external disturbance. The interval observer design method has two main steps. They are $H_{\infty }$ observer design and interval hull design respectively. Besides, the superiority of the proposed method is proved in the aspect of theory. One comparative example is carried out to verify the conclusion above. [ABSTRACT FROM AUTHOR]

This brief deals with the interval observer design for a class of discrete-time switched systems. In order to reduce the constraints of design conditions and improve the accuracy of estimation, the zonotope method is used to estimate the bounds of the system states. First, an $H_{\infty }$ observer is constructed for discrete-time switched systems and sufficient conditions are derived to guarantee the existence of the $H_{\infty }$ observer. Then, zonotope method is employed to estimate the states based on the designed observer. Finally, a numerical example in the background of booster converter is simulated to demonstrate the efficiency of the proposed approach. [ABSTRACT FROM AUTHOR]

When designing interval observers for switched systems, for simplicity, it is always assumed that the switching signal of interval observers is synchronised with one of subsystems. However, in fact, they are asynchronous in most cases. In this study, the interval observer design problem for discrete‐time switched systems with asynchronous switching law is investigated. At first, a robust observer is designed based on the H∞ observer theory. Then, in order to reduce the conservatism of design conditions and improve the performance of the interval observer, the zonotope method is applied to estimate the bounds of system state. Finally, two examples are provided to highlight the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]