Abstract:

Based on a class of continuous switched non-regular descriptor linear systems, the descriptor observers are designed and the stability of their state error is analyzed. Firstly, through the elementary transformation of matrix, an equivalent system is derived. Secondly, the subobserver of the No. i subsystem is designed. The observers of the switched descriptor systems can be constructed by using the No. i sub-observer. If observers are fulldimensional and each subsystem is checked, the state estimate error can converge to zero under arbitrary switching. Finally, a numerical case and the Matlab simulation illustrate that the proposed approach is simple and viable. Error observation can converge to zero more quickly than other approaches. Therefore, the approach is efficient and correct.

Key words: continuous switched non-regular descriptor linear system;observer;sub-observer;state estimate error