Observer Design for Two-Dimensional Switched Discrete-Time Linear Systems with Multiple Equilibrium Points

This paper investigates the observer design problem for two-dimensional switched discrete-time linear systems with multiple equilibrium points. Firstly, a distributed state observer is constructed by considering that all subsystems are observable. Then, a sufficient condition for the existence of a state observer is given by analyzing the nature of the solution of the error switching system via an iterative method. The results obtained indicate that the constructed state observer can quickly follow the state of the original system over time. In the end, the validity and correctness of the designed state observer are proved by numerical simulation examples.