A separation method of transmission delays and data packet dropouts from a lumped input delay in the stability problem of networked control systems

作者：Shao, Hanyong; Han, Qing-Long^*; Zhao, Jianrong; Zhang, Dan

来源：International Journal of Robust and Nonlinear Control, 2017, 27(11): 1963-1973.

DOI：10.1002/rnc.3647

• networked control systems
• sampled-data systems
• Lyapunov functional
• sampling-dependent stability

This paper proposes a separation method of a transmission delay and data packet dropouts from a lumped input delay in the stability problem of a networked control system, where both the transmission delay and the data packet dropouts are involved. By modeling data packet dropouts as sampling processes and the transmission delay as a state delay, the networked control system is represented as a sampled-data system with aperiodic sampling and a state delay. In order to separate the state delay and the sampling, the sampled-data system is transformed into a new system with an integral operator, where the sampling is embedded into the integral operator. By investigating the integral operator's gain and passivity, a novel Lyapunov functional is constructed to address the stability problem. The obtained stability results are dependent on both the data packet dropouts and the time delay. A numerical example is provided to demonstrate that the stability results are less conservative than some existing ones.

• 出版日期2017-7-25
• 单位曲阜师范大学