Output feedback tracking control for lower‐triangular nonlinear time‐delay systems with asymmetric input saturation

2020 ◽  
Vol 30 (8) ◽  
pp. 3471-3483
Author(s):  
Qingrong Liu ◽  
Hanfeng Li ◽  
Xianfu Zhang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Tracking Control ◽  
Input Saturation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Lower Triangular ◽  
Feedback Tracking

Decentralized full-state constrained adaptive tracking control for interconnected time delay systems with input saturation

2021 ◽  
pp. 095965182110490
Author(s):  
Zhifeng Gao ◽  
Shipeng Hu ◽  
Moshu Qian
Keyword(s):  
Time Delay ◽  
Tracking Control ◽  
Input Saturation ◽  
Nonlinear Function ◽  
Delay Systems ◽  
Time Delay Systems ◽  
State Variables ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking ◽  
Full State

In this article, the problem of decentralized full-state constrained adaptive tracking control is investigated for interconnected time delay systems with input saturation. The extreme learning machine is applied to approximate the unknown nonlinear function in the design process. By selecting the appropriate Lyapunov–Krasovskii function, the time delay interconnection term could be compensated. A unified barrier function is introduced to ensure that the constraints imposed on all states are not violated. The Nussbaum function is introduced to deal with the problem of input saturation. By applying adaptive backstepping procedures, a novel decentralized full-state constrained adaptive tracking control strategy is proposed for the considered interconnected time delay systems. In terms of Lyapunov stability theory, it is proved that all the signals of the closed-loop systems are semi-global ultimately uniformly bounded and all state variables could be constrained within the time varying asymmetric boundaries. Finally, the effectiveness of the proposed scheme is illustrated by a simulation example of a two-stage chemical reactor.

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