Adaptive state feedback control for time-delay stochastic nonlinear systems based on dynamic gain method

2018 ◽  
Vol 92 (12) ◽  
pp. 2806-2819 ◽  
Author(s):  
Changchun Hua ◽  
Yafeng Li ◽  
Liuliu Zhang ◽  
Xinping Guan
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Nonlinear Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Stochastic Nonlinear Systems ◽  
Dynamic Gain

scholarly journals Global State-Feedback Control for Switched Nonlinear Time-Delay Systems via Dynamic Gains

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Hui Ye ◽  
Bin Jiang ◽  
Hao Yang ◽  
Gui-Hua Zhao
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Global State ◽  
Switching Law ◽  
Power Integrator ◽  
Dynamic Gain

In this paper, the problem of global state-feedback control is investigated for a class of switched nonlinear time-delay systems. In order to obtain a less-conservative common dynamic gain update law across subsystems, we construct different dynamic gain update laws for individual subsystems. Based on multiple Lyapunov function approach and adding one power integrator technique, the delay-independent controllers for all subsystems and a proper switching law are designed to guarantee that the states of the switched nonlinear time-delay systems can be globally asymptotically to the origin; meanwhile, all the signals of the closed-loop system are bounded. Finally, an example is provided to demonstrate the effectiveness of the proposed method.

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