Fractional order proportional and derivative controller design for second-order systems with pure time-delay

2011 ◽  
Author(s):  
Rui Ping Wang ◽  
You Guo Pi
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Controller Design ◽  
Second Order ◽  
Second Order Systems ◽  
Pure Time Delay

Evolutionary Tuning of Optimal PID Controllers for Second Order Systems Plus Time Delay

2015 ◽  
pp. 3-20 ◽  
Author(s):  
Jesús-Antonio Hernández-Riveros ◽  
Jorge-Humberto Urrea-Quintero ◽  
Cindy-Vanessa Carmona-Cadavid
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Pid Controllers ◽  
Second Order Systems ◽  
Evolutionary Tuning

scholarly journals Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Hua Chen ◽  
Wen Chen ◽  
Binwu Zhang ◽  
Haitao Cao
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Second Order ◽  
External Disturbances ◽  
Globally Asymptotically Stable ◽  
Control Scheme ◽  
Chattering Free ◽  
Second Order Sliding Mode

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.

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