Abstract
In this paper, the control problem is investigated for discrete time-varying delayed systems with stochastic uncertainty, external disturbance, and two-channel packet dropouts. Sliding mode functions with packet loss probabilities are proposed for the packet loss problem in the sensor–controller channel and the controller–actuator channel. Furthermore, by employing the Lyapunov–Krasovskii functional, some new stability conditions are established in terms of solvable linear matrix inequalities (LMIs), and H∞ performance is analyzed for the sliding mode motion of the system. Meanwhile, a sliding mode controller is designed to drive the system state to the pre-designed sliding surface. Moreover, the designed controller can be robust for two-channel packet dropouts, time-varying delays, stochastic uncertainty and external disturbance. Finally, two numerical examples are given to demonstrate the feasibility of the proposed theoretical method.
Highlights
In this paper, the control problem is investigated for discrete time-varying delayed systems with stochastic uncertainty, external disturbance, and two-channel packet dropouts
In order to suppress the effects of packet dropouts on system time-varying delays systems with stochastic uncertainty, external disturbance, and twostability, a robust sliding surface was applied, which proved to be more robust channel packet dropouts
In order to suppress the effects of packet dropouts onagainst system two-channel packetsliding dropouts, stochastic uncertainty, external disturbances, time against delays
Summary
The control problem is investigated for discrete time-varying delayed systems with stochastic uncertainty, external disturbance, and two-channel packet dropouts. Over the last few decades, the emergence of networked control systems (NCSs) has largely solved the shortcomings of traditional control systems which are not scalable, inflexible, and weak against interference [1–3] They have a wide range of applications in modern science, such as robot manufacturing [4], transport [5], and power transmission. Resources are transmitted in the networked control system through the Internet During this data transmission, the nodes will collide with each other, and competition failure or network congestion can result in packet order confusion, time delays [6–8], and even packet dropouts [9–11], due to the limitations of channel capacity or information processing speed. In order to make further progress in networked control, the impact of packet dropout and time-varying delays on system stability must be reduced
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