State observers of quasi-reversible discrete-time switched linear systems

This work addresses observer design for the general class of quasi-reversible discrete-time switched linear systems.Under the mild assumption that the switched system is observable,we present constructive approaches to design state observers to estimate the state.Two types of observers are designed:one is with full order and the other is with reduced order,both could reconstruct the system state in finite times.A numerical example is presented to illustrate the effectiveness of the proposed approaches.