Evaluation of the PI$$^\lambda $$ Controllers Tuned by Differential Evolution

This manuscript proposes a way to tune fractional-order proportional–integral controllers, to synthesize them in hardware and to evaluate them by using hardware-in-the-loop technique. In order to validate the tuned controllers, it was imposed to control a plant where two loops of control were necessary. The obtained results showed satisfactory performance for both designed controllers and proved that fractional calculus can be implemented on high-performance digital processors. Controllers were implemented on the Altera DE2-115 cyclone IV EP4CE115 board.

[1]  Xiangde Zhang,et al.  The application of fractional order PID controller to position servomechanism , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[2]  YangQuan Chen,et al.  Fractional order control - A tutorial , 2009, 2009 American Control Conference.

[3]  Ajith Abraham,et al.  Design of fractional-order PIlambdaDµ controllers with an improved differential evolution , 2009, Eng. Appl. Artif. Intell..

[4]  Youguo Pi,et al.  Study of the fractional order proportional integral controller for PMSM based on differential evolution algorithm , 2015, 2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC).

[5]  Alain Oustaloup,et al.  Frequency-band complex noninteger differentiator: characterization and synthesis , 2000 .

[6]  B. Onaral,et al.  Fractal system as represented by singularity function , 1992 .

[7]  G. Griva,et al.  Design of fractional order PID controller for boost converter based on Multi-Objective optimization , 2010, Proceedings of 14th International Power Electronics and Motion Control Conference EPE-PEMC 2010.

[8]  Hironori A. Fujii,et al.  H(infinity) optimized wave-absorbing control - Analytical and experimental results , 1993 .

[9]  Vicente Feliu-Batlle,et al.  Robust fractional-order PI controller implemented on a laboratory hydraulic canal. , 2009 .

[10]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[11]  José António Tenreiro Machado,et al.  What is a fractional derivative? , 2015, J. Comput. Phys..

[12]  P Mattavelli,et al.  Conservative Power Theory, a Framework to Approach Control and Accountability Issues in Smart Microgrids , 2011, IEEE Transactions on Power Electronics.

[13]  A. M. Abdel Ghany,et al.  A novel self-tuning fractional order PID control based on optimal model reference adaptive system , 2019, International Journal of Power Electronics and Drive Systems (IJPEDS).

[14]  Mallikarjun Kande,et al.  Platform for Hardware In Loop Simulation , 2016, 2016 International Symposium on Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM).

[15]  Carlos A. Canesin,et al.  Differential-Evolution-Based Optimization of the Dynamic Response for Parallel Operation of Inverters With No Controller Interconnection , 2012, IEEE Transactions on Industrial Electronics.

[16]  N. N. Praboo,et al.  Simulation work on Fractional Order PIλ Control Strategy for speed control of DC motor based on stability boundary locus method , 2014, ArXiv.

[17]  A. Konar,et al.  Design of a fractional-order self-tuning regulator using optimization algorithms , 2008, 2008 11th International Conference on Computer and Information Technology.

[18]  Haibo Hu,et al.  Fractional Order PID Controller Based on Particle Swarm Optimization Implemented with FPGA , 2010, 2010 International Conference on Artificial Intelligence and Computational Intelligence.

[19]  C. Halijak,et al.  Approximation of Fractional Capacitors (1/s)^(1/n) by a Regular Newton Process , 1964 .

[20]  J. Munkhammar Riemann-Liouville Fractional Derivatives and the Taylor-Riemann Series , 2004 .