Analysis and Design for Linear Singular Multirate Networked Control Systems¶

This note proposes a multirate sampleddata system to model the discrete schedule feature of the networked singular control systems. Sampleddata system with time-delay in its discrete-time subsystem shows some nice features to admit many network-induced topics, for example, time-delay, packet dropout. Beside of the networked control systems with different combinations of the time-driven or event-driven mode of the devices, including the samplers, the controllers and the holders, this work concerns with the networks with multirate devices. By transforming the time-delay in the discrete-time subsystem into the continuous-time singular subsystem, a less conservative time-delay dependent stability result for the networked singular control systems is obtained. The stability condition guarantees that the networked singular system is regular, impulse free and stable. Furthermore, a stabilized control law for the networked singular systems is presented. Finally, a numerical example is provided to demonstrate the potential of the proposed techniques.