scholarly journals Synthesised fractional‐order PD controller design for fractional‐order time‐delay systems based on improved robust stability surface analysis

2020 ◽  
Vol 14 (20) ◽  
pp. 3723-3730
Author(s):  
Shuo Zhang ◽  
Lu Liu ◽  
Yang Quan Chen ◽  
Dingyu Xue
Keyword(s):  
Time Delay ◽  
Surface Analysis ◽  
Fractional Order ◽  
Robust Stability ◽  
Controller Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Pd Controller

PI‐PD controller design for time delay systems via the weighted geometrical center method

2019 ◽  
Vol 22 (5) ◽  
pp. 1811-1826 ◽  
Author(s):  
Munevver Mine Ozyetkin ◽  
Cem Onat ◽  
Nusret Tan
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Pd Controller ◽  
Geometrical Center

scholarly journals Disturbance Rejection for Fractional-Order Time-Delay Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Hai-Peng Jiang ◽  
Yong-Qiang Liu
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Disturbance Rejection ◽  
Controller Design ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Design Algorithm ◽  
The Stability ◽  
Disturbance Estimator

This paper presents an equivalent-input-disturbance (EID-) based disturbance rejection method for fractional-order time-delay systems. First, a modified state observer is applied to reconstruct the state of the fractional-order time-delay plant. Then, a disturbance estimator is designed to actively compensate for the disturbances. Under such a construction of the system, by constructing a novel monochromatic Lyapunov function and using direct Lyapunov approach, the stability analysis and controller design algorithm are derived in terms of linear matrix inequality (LMI) technique. Finally, simulation results demonstrate the validity of the proposed method.

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