Output Regulation Problem for Time-Varying Systems with Uncertain Descriptors

In this paper, we study the problem of robust output regulation of descriptor time-varying systems. Firstly, a new feedback mechanism is considered to construct an internal model for the descriptor time-varying system. The design of the internal model consists of two parts: (1) how to construct a time-varying system so that the external system can be immersed into the time-varying system. (2) Based on the designed feedback mechanism, the system can automatically generate control inputs that make the error asymptotic to zero. Secondly, an auxiliary signal is designed for the system under study to ensure that the system is consistently observable. Using the consistent observability property, a dynamically stable controller is designed to safeguard that the studied closed-loop system is asymptotically stable. Finally, The effectiveness of this method is verified by a simulation example.