Bounded control of feedforward nonlinear systems subject to input time‐delay

2020 ◽  
Vol 30 (14) ◽  
pp. 5579-5601
Author(s):  
Xuefei Yang ◽  
Bin Zhou ◽  
James Lam ◽  
Yong Cao
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Bounded Control ◽  
Input Time ◽  
Feedforward Nonlinear Systems

Multi-dimensional Taylor network adaptive predictive control for single-input single-output nonlinear systems with input time-delay

2021 ◽  
pp. 014233122110402
Author(s):  
Chen-Long Li ◽  
Hong-Sen Yan ◽  
Jiao-Jun Zhang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Predictive Control ◽  
Tracking Control ◽  
Recursive Least Squares ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input ◽  
Input Time ◽  
Adaptive Predictive Control

In this study, an adaptive predictive control approach based on the multi-dimensional Taylor network (MTN) is proposed for the real-time tracking control of single-input single-output nonlinear systems with input time-delay. Two MTNs are used to implement the accurate tracking control. First, to compensate for the influence of time-delay, MTN is taken as a predictor and the damped recursive least squares algorithm is used as its online learning algorithm. Second, a feed-forward MTN controller is developed on the basis of the proportional–integral–derivative controller, and the closed-loop errors between the reference input and the system output are directly chosen to be the MTN controller’s inputs. The back propagation algorithm is introduced for its learning which can update its weights online at stable learning rate by the errors caused by the system’s uncertain factors. Convergence and stability analysis are given to guarantee the performance of our proposed approach. Finally, two examples are given to verify the effectiveness of the proposed approach.

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