Robust Stability and Stabilization Of TCP‐Networked Control Systems with Multiple Delay System Modeling

Abstract

This paper presents a new model for networked control systems (NCSs) under transmission control protocol (TCP) as a multiple‐delay system by considering both sensor to controller and controller to actuator delays. An analytical TCP model has been considered for the network part, and an active queue management (AQM) controller is designed to regulate the desired queue length, which ensures holding the network induced delay and its variation within their lower bounds. The model is assumed to possess structured uncertainties due to the stochastic nature of the network. Robust stability and stabilization conditions are derived in terms of linear matrix inequalities (LMIs) by applying the Lyapunov‐Krasovskii stability criterion. Illustrative examples are presented and it has been shown that the proposed method will obtain less conservative results compared to the existing approaches in the literature.

Output‐feedback‐based sliding mode control for networked control systems subject to packet loss and quantization

“…On another research front, networked control systems (NCSs) have received a great deal of attentions over the past two decades, in which system information is transmitted by communication networks with finite capacity. Compared with traditional control systems, the structure of the network itself has brought a series of detrimental phenomena, including packet dropouts [6,7], random delays [8–10], quantization errors [11], fading in channels [12,13], and so on, which inevitably results in performance degradation or even instability of the controlled systems. Hence, it is quite interesting and necessary to investigate the design of SMC when it is subject to incomplete information.…”

Controlling the multi‐plant networked system with external perturbations via adaptive model‐based event‐triggered strategy

“…With the development of system science, networked control systems (NCSs) have attracted researchers' interests from various fields [1][2][3][4][5][6][7][8][9][10][11][12]. Different from the traditional control system without the communication network (as Figure 1), the networked control system is a kind of system in which the feedback signal from the sensor to the controller and the control signal from the controller to the actuator are transferred through the shared communica-tion network forming a closed-loop, formed by introducing a shared communication network into the single plant control system.…”

Chattering‐Free Sliding Mode Control for Networked Control System with Time Delay and Packet Dropout Based on a New Compensation Strategy

“…Firstly, since time delay and packet dropout usually exist simultaneously in the real network, it is important to establish a model to handle them in a common framework. Various modeling methods have been proposed including time delay system model [11], switched system model [12][13][14], asynchronous dynamical system model [15,16], and stochastic system model [6,8,9,[17][18][19][20][21][22][23][24][25]. Among them, stochastic system model becomes popular in recent years and one of the most 2 Complexity used ways is to adopt a Markov discrete-time linear system to describe random time delay or packet dropouts [9, 20-22, 24, 25].…”