Abstract
This paper investigates the hybrid-driven mechanism problem for Markov jump system, where both channel quantization (BCQ) and network-induced delay based on uncertain network are considered. Firstly, comparing with the traditional event-triggered scheme, a hybrid-driven mechanism is employed in networked control systems (NCSs) for the finite capacity of communication bandwidth resources and system performance in equilibrium. Then, the quantization technology is applied in the communication channel from sensor-to-controller and controller-to-actuator. The application of BCQ is for further investigation that mitigate data packet transmission rate. Thirdly, Markov jump system is modeled for the hybrid-driven mechanism and network-induced delay. By constructing the Lyapunov–Krasovskii function, a sufficient condition is derived as the stability criterion, and the controller is designed in which the nonlinear term is rewritten for simplifying the calculation. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approach.
Highlights
Networked control systems (NCSs), distributed systems in which control components such as sensor, controller, and actuator are connected to each other through the communication network channels, are widely applied in various areas such as industrial-control field, multiagent collaboration systems, and smart grids [1]
Numerous transmission data occupy limited communication bandwidth which causes consequences, for instance, network-induced delays, data packet dropout, and disorder [3,4,5]. ese drawbacks may lead to a threat of system performance and even result in network paralysis
Different system research objects can be modeled as Markov jump process, such as sampling process, stochastic time delay, and the combination of guaranteed cost control (GCC) and neural networks in [13,14,15]
Summary
Networked control systems (NCSs), distributed systems in which control components such as sensor, controller, and actuator are connected to each other through the communication network channels, are widely applied in various areas such as industrial-control field, multiagent collaboration systems, and smart grids [1]. Different system research objects can be modeled as Markov jump process, such as sampling process, stochastic time delay, and the combination of guaranteed cost control (GCC) and neural networks in [13,14,15]. In order to tackle the difficulties with regard to control systems information transmission and the communication bandwidth resources constrained, researchers propose a method called quantization. To balance and optimize the data transmission referring to bandwidth occupancy rate and the loss of significative information, Liu et al [35] proposes a novel method called hybrid-driven mechanism which is composed of time-triggered and event-triggered, and Bernoulli distribution is utilized to decide which communication scheme will be chosen. Inspired by the investigation aforementioned, in this paper, we focus on the hybrid-driven mechanism based on uncertain networked for Markov jump system with quantizations and delay. In symmetric matrices, “∗” denotes a term induced by symmetry. e notation P > 0( < 0) stands for real symmetric positive definite
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