scholarly journals Implicit Lyapunov-Krasovski Functionals for Stability Analysis and Control Design of Time-Delay Systems

2015 ◽  
Vol 60 (12) ◽  
pp. 3344-3349 ◽  
Author(s):  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti ◽  
J-P. Richard
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Control Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
And Control

scholarly journals Fractional Order PIλDµ Control Design for a Class of Cyber-Physical Systems with Fractional Order Time-Delay models

2019 ◽  
Vol 1 (2) ◽  
pp. 1-18
Author(s):  
Marwa Boudana ◽  
Samir Ladaci ◽  
Jean-Jacques Loiseau
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Control Design ◽  
Cyber Physical Systems ◽  
Performance Criteria ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Physical Systems ◽  
System Configurations ◽  
And Control

The control of cyber-physical systems (CPS) is a great challenge for researchers in control theory and engineering mainly because of delays induced by merging computation, communication, and control of physical processes. Consequently, control solutions for time-delay systems can be applied efficiently for many CPS system configurations. In this article, a fractional order PIλ and PIλDµ control design is investigated for a class of fractional order time-delay systems. The proposed control design approach is simple and efficient. The controller parameter's adjustment is achieved in two steps: first, the relay approach is used to compute satisfactory classical PID coefficients, namely kp, Ti and Td. Then, the fractional orders λ and µ are optimized using performance criteria. Simulation results show the efficiency of the proposed design technique and its ability to enhance the PID control performance.

scholarly journals Analysis and Control Design for a Class of Fractional Order Time-Delay Systems

2020 ◽  
Vol 5 (1) ◽  
pp. 18-24
Author(s):  
Marwa BOUDANA ◽  
Samir LADACI ◽  
Jean Jacques LOISEAU
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Pid Control ◽  
Control Design ◽  
Performance Criteria ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Control Performance ◽  
And Control ◽  
Fractional Orders

In this paper, we consider a class of fractional order time-delay systems and propose a fractional order control design for their stabilization. The controller parameter’s adjustment is achieved in two steps: first, the relay approach is used to compute satisfactory classical PID coefficients, namely kp, Ti and Td. Then, the fractional orders ʎ and µ are optimized using performance criteria. Simulation results show the efficiency of the proposed design technique and its ability to enhance the PID control performance.

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