Design of PID control for planar uncertain nonlinear systems with input delay

Author(s):  
Xujun Lyu ◽  
Zongli Lin
Automatica ◽  
2017 ◽  
Vol 76 ◽  
pp. 222-229 ◽  
Author(s):  
Serhat Obuz ◽  
Justin R. Klotz ◽  
Rushikesh Kamalapurkar ◽  
Warren Dixon

2020 ◽  
Vol 30 (7) ◽  
pp. 2593-2610
Author(s):  
Jiali Ma ◽  
Shengyuan Xu ◽  
Guangming Zhuang ◽  
Yunliang Wei ◽  
Zhengqiang Zhang

Author(s):  
W. X. Deng ◽  
J. Y. Yao

In this paper, a robust adaptive controller is proposed for a class of uncertain nonlinear systems subject to time-varying input delay, parametric uncertainties and additive bounded disturbances. The desired trajectory based adaptive feedforward technique and a predictor-like robust delay compensating term are integrated via backstepping in the controller design. The proposed controller theoretically ensures semi-global uniformly ultimately bounded tracking performance based on Lyapunov stability analysis by employing Lyapunov-Krasovskii (LK) functionals. Simulation results are obtained to illustrate the effectiveness of the proposed control strategy.


2019 ◽  
Vol 141 (11) ◽  
Author(s):  
Ashish Kumar Jain ◽  
Shubhendu Bhasin

This paper proposes a robust compensator for a class of uncertain nonlinear systems subjected to unknown time-varying input delay. The proposed control law is based on the integral of past values of control and a novel filtered tracking error. Sufficient gain conditions dependent on the known bound of the delay are derived using a Lyapunov-based stability analysis, where Lyapunov–Krasovskii (LK) functionals are used to achieve a global uniformly ultimately bounded (GUUB) tracking result. Simulation results for a nonlinear system are used to evaluate the performance and robustness of the controller for different values of time-varying input delay.


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