| With the development of many engineering systems, such as mechanical transmissions, fluid transmissions, metallurgical processes, and networked control systems, time-delay phenomena were first proposed. They are often a source of instability and poor control performance, and the time-delay is the reason why the performance happened. The stability of time-delay systems has attracted the attention of many researchers. The stability is the basic condition for systems. The networked control system is a fully distributed and networked feedback control system, which refers to a collection of communication network, sensors, controllers and actuators within a regional site, providing data transmission between devices so that users of different locations within the region can achieve resource sharing and coordination of operations. After the introduction of control system to the network, the characteristics of the network itself result in the complexity of the network control system inevitably, such as network-induced delay, clock synchronization, data packet dropout and security and so on. If these problems of the system can’t be solved, the performance will be affected largely.This paper gives a class of time-delay autonomy control system and obtains the conditions of Lyapunov stability of the control system by using the free weighting matrix and Jessen inequality. After it, we give the way to design the feedback controller, which makes the system stable, and the effectiveness of the method is illustrated by the numerical examples. Then, this paper introduces the model of singular networked control system with long time-delay and data packet dropout. We also give stability analysis by Lyapunov exponential stability and the design of stabilizing controller. The reliability and effectiveness of the method are also illustrated by the numerical examples. |
