Robust Stabilization Of Singular Systems In A Networked Feedback

Recently, the problem of control with limited information has received significant attentions. Unlike classical control problem, control with limited information concerns the impact of the capacity of a channel on the performance of systems. How much capacity of a channel is needed to achieve a specific control goal is a natural question. Meanwhile, how to design a suitable controller is a key issue. All most all research works in this regard concentrates on the works of general plants for networked control systems (NCSs, for short) with limited information.In this dissertation, the state feedback control of the linear singular plant is studied, where the sensor and controller are connected via a network and the transmission frequency is constant. In terms of the model based control, the model plant in the singular system is added at the controller to stabilize the original singular system with periodically updating its state by the actual state of the plant provided by the sensor. Moreover, under some certain conditions, when the transmission frequency is large enough, the globally exponential stability of the whole closed-loop singular system is shown. In addition, a numerical simulation is shown to illustrate the results of the paper.In this dissertation, we have done in this regard as follows:1. model-based control of singular networked control systems with sensor;2. model-based control of singular networked control systems with observer.For NCSs with the plant having singular structure, this is a first time to be addressed. We solve feedback stabilization of this problem. Moreover, we also extend the model-based approach, which is shown effective to reduce bandwidth restriction for NCSs with regular plant, to the case with plant that is singular system.