Abstract
This paper studies the finite-time stabilization and boundedness problem of a class of network control systems that are simultaneously affected by time delay and packet loss. Based on the Lyapunov function method, the sufficient conditions for the design of the state feedback controller in the form of linear matrix inequality are obtained. The state feedback controller makes the network control system stable for a finite time. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the method. The research results of this paper will develop and enrich the control theory system of the network control system and provide advanced control theory methods and application technology reserves in order to promote the development process of the network control system application and improve the application level.
Highlights
With the development of high-speed network communication technology, numerous devices can form a distributed networked system through the network to realize remote data transmission and data exchange
The application of the network in the control loop brings some problems, such as time lag, data loss, and multipacket transmission of data generated by the network, which will affect the stability and performance of the control system
Since the network control system is a fusion of control technology and network communication technology, its analysis and design are often carried out from two perspectives of network and control
Summary
With the development of high-speed network communication technology, numerous devices can form a distributed networked system through the network to realize remote data transmission and data exchange. In order to study the transient performance of the system, in 1961, Dorato proposed the concept of short-time stability, which analyzed and studied the problem of finitetime control of linear systems [7]. Shang [13] and Sun [14], based on the linear matrix inequality method, respectively, gave the finite-time stability analysis and controller design method of random packet loss network control systems with all the transition probabilities and all known transition probabilities, but literature [13] did not give a finite-time bounded result.
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