Synchronization analysis of network systems applying sampled-data controller with time-delay via the Bessel–Legendre inequality

2019 ◽  
Vol 331 ◽  
pp. 346-355
Author(s):  
Hongru Ren ◽  
Junlin Xiong ◽  
Renquan Lu ◽  
Yuanqing Wu
Keyword(s):  
Time Delay ◽  
Sampled Data ◽  
Network Systems ◽  
Data Controller

Sampled-data control of a class of time-delay nonlinear systems via memoryless feedback

2021 ◽  
Vol 157 ◽  
pp. 105048
Author(s):  
Xueliang Liu ◽  
Wei Lin ◽  
Congran Zhao ◽  
Yaohua Hu
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control

Robust H∞ control of neutral system for sampled-data dynamic positioning ships

2018 ◽  
Vol 36 (4) ◽  
pp. 1325-1345 ◽  
Author(s):  
Minjie Zheng ◽  
Yujie Zhou ◽  
Shenhua Yang ◽  
Lina Li
Keyword(s):  
Sufficient Conditions ◽  
Control Law ◽  
Dynamic Positioning ◽  
Neutral System ◽  
Time Varying ◽  
Sampled Data ◽  
Stability Theorems ◽  
Data Control ◽  
Conservative Result ◽  
Data Controller

Abstract This study focuses on the robust ${H}_{\infty }$ sampled-data control problem of neutral system for dynamic positioning (DP) ships. Using the input delay approach and a state-derivative control law, the ship DP system is turned into a neutral system with time-varying delays. By incorporating the delay-decomposition technique, Wirtinger-based integral inequality and an augmented Lyapunov–Krasovskii functional, less conservative result is derived for the resulting system. Sufficient conditions are established to determine the system’s asymptotical stability and achieve ${H}_{\infty }$ performance using Lyapunov stability theorems. Then the ${H}_{\infty }$ sampled-data controller is obtained by analyzing the stabilization conditions. Finally, simulation result is shown that the proposed method is effective.

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