On-line optimal tracking control of continuous-time systems

Mechatronics ◽  
2004 ◽  
Vol 14 (5) ◽  
pp. 587-597 ◽  
Author(s):  
Jyh-Horng Chou ◽  
Chen-Huei Hsieh ◽  
Jung-Hung Sun
Keyword(s):  
Continuous Time ◽  
Tracking Control ◽  
Optimal Tracking ◽  
Optimal Tracking Control ◽  
Continuous Time Systems ◽  
On Line ◽  
Time Systems

scholarly journals Application of the Preview Control Method to the Optimal Tracking Control Problem for Continuous-Time Systems with Time-Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Fucheng Liao ◽  
Haishan Xu
Keyword(s):  
Time Delay ◽  
Control Problem ◽  
Continuous Time ◽  
Tracking Control ◽  
Control Method ◽  
Reference Signal ◽  
Preview Control ◽  
Optimal Tracking ◽  
Continuous Time Systems ◽  
Time Systems

This paper considers the application of the preview control method to the optimal tracking control problem for a class of continuous-time systems with state and input delays. First, through a transformation, the system is transformed into a nondelayed one. Then, the tracking problem of the time-delay system is transformed into one of a nondelayed system via processing of the reference signal. We then apply preview control theory to derive an augmented system for the nondelayed system and design a controller with preview function assuming that the reference signal is previewable. Finally, we obtain the optimal control law of the augmented error system and thus obtain that of the original system by letting the preview length of the reference signal go to zero. Numerical simulations are provided to illustrate the effectiveness and validity of our conclusions.

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