Stability analysis for sampled-data control systems by considering communication delay
The stability problem of sampled-data control systems with communication delay was investigated.Firstly,a looped functional that depends on the maximum value of the sampling interval was constructed by considering the sampling characteristics of the sampling interval.The matrices associated with the functional do not need to satisfy the positive definition varing with the maximum value of the sampling interval.Secondly,using the dynamic information of the sampled-data control system and the integration by parts of a definite integral,some zero equations containing free matrices were proposed.Thirdly,combined with the generalized free-matrix based integral inequality,the stability criterion for the time-delay sampling control system and the stability criterion for the sampling control system without time delay were deduced.Finally,the reliability of the closed-loop functional method with the maximum value of sampling interval was verified by numerical and practical simulation.The results show that the two-sided closed-loop functional based on the maximum value of the sampling interval can make the stability criterion of the sampling control system more optimal and effective.
sampled-data control systemstability analysistime delayLyapunov-Krasovskii functionallooped functional
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