SMDO algoritması ile iki serbestlik dereceli FOPID kontrol çevrimi tasarımı
Yıl 2016,
Cilt: 22 Sayı: 8, 671 - 676, 27.12.2016
Abdullah Ateş
,
Celaleddin Yeroğlu
Öz
Bu
yayın, kesir dereceli PID kontrolörlü iki serbestlik dereceli kontrol
yapısında, olasılıksal çok parametreli sapma optimizasyon algoritmasını
kullanan bir tasarım yöntemi sunmaktadır. Bu kontrol yapısı, feedback (geribesleme), feed-forward (ileri
besleme) ve component separated (bileşenlerine ayrılmış) tipi iki serbestlik
dereceli kontrol çevrimleri için uygulanmış ve kontrolör parametreleri
optimizasyon algoritması ile elde edilmiştir. Daha sonra bu üç kontrol
çevriminin performansları karşılaştırılmıştır.
Kaynakça
- Horowitz IM. Synthesis of Feedback Systems, The University of Michigan Academic Press, New York, 1963.
- Araki M. “PID control system with reference feed forward (PID-FF control systems).” 23rd Society of Instrument and Control Engineers Annual Conference, Tokyo; Japan, July 1984.
- Araki M, Taguchi H. “Two-degree-of-freedom PID controllers”. International Journal of Control Automation and Systems, 1, 401-411, 2003.
- Nagashio T, Kida T, Hamada Y, Ohtani T. “Robust Two-Degrees-of-Freedom Attitude Controller Design and Flight Test Result for Engineering Test Satellite-VIII Spacecraft”. IEEE Transactions on Control Systems Technology, 22(1), 157-168, 2014.
- Yesil E, Guzelkaya M, Eksin I, Tekin OA. “Online Tuning of Set-point Regulator with a Blending Mechanism Using PI Controller”. Turkish Journal of Electrical Engineering and Computer Sciences, 16(2), 143-157, 2008.
- Sasaki M, Fujihara K, Yamada H, Nam Y, Ito S. “Two-degree-of-freedom control of a self-sensing micro-actuator for HDD”. 22nd International Symposium on Intelligent Control, Singapore, 1-3 October 2007.
- Rout BK, Mittal RK, “Parametric design optimization of 2-DOF R–R planar manipulator a design of experiment approach”. Robotics and Computer-Integrated Manufacturing, 24(2), 239-248, 2008.
- Alfaro VM, Vilanova R, Arrieta O. “Considerations on set-point weight choice for 2-DoF PID controllers”. Advanced Control of Chemical Processes IFAC, 7, 721-726, 2009.
- Feng G, Xiao-ping Z. “Research on fractional order two-degrees-of-freedom flight control technology of unmanned air vehicle”. International Conference on Computer Science and Information Processing (CSIP), Xian, China, 24-26 August 2012.
- Ates A, Yeroglu C. “Online Tuning of Two Degrees of Freedom Fractional Order Control Loops”, Balkan Journal of Electrical & Computer Engineering, 1(4), 5-11, 2016.
- Gutierrez RE, Rosario JM, Machado JAT. “Fractional Order Calculus: Basic Concepts and Engineering Applications, Mathematical Problems in engineering,” Hindawi Publishing Corporation, 2010, 1-9, 2010.
- Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering. Academic Press, USA, 1999.
- Ross B. Fractional Calculus and its Applications. Springer, Verlag-Berlin, New York, 1975.
- Hamamci SE. "An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers," IEEE Transactions on Automatic Control, 52, 10, 1964-1969, 2007.
- Podlubny I. “Fractional order systems and PIλDμ controller”. IEEE Transactions on Automatic Control, 44, 208-214, 1999.
- Yeroglu C, Tan N. “Note on fractional-order proportional-integral-differential controller design”. IET Control Theory and Applications, 5(17), 1978-1989, 2011.
- Yeroglu C, Tan N. “Classical controller design techniques for fractional order case”. ISA Transactions, 50(3), 461-472, 2011.
- Radek M, Prokop R, “Single-parameter tuning of PI controllers: theory and application”. Journal of The Franklin Institute, 348, 2059–2071, 2011.
- Aydoğdu Ö, Akkaya R, “An effective real coded GA based fuzzy controller for speed control of a BLDC motor without speed sensor”. Turkish Journal of Electrical Engineering and Computer Sciences, 19, 413–430, 2011.
- El-Khazali R. “Fractional-order controller design”. Computers & Mathematics with Applications, 66(5), 639-646, 2013.
- HongSheng L, Luo Y, Chen YQ. “A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments”. IEEE Transactions on Control Systems Technology, 18(2), 516-520, 2010.
- Ates A, Yeroglu C. “Tabu Search Algorithm for Fractional Order PID via Non-linear Multi Objective Function”. International Conference on Fractional Differentiation and Its Applications, Catania, Italy 23-25 June 2014.
- Yeroglu C. Ates A. “A stochastic multi-parameters divergence method for online auto-tuning of fractional order PID controllers”. Journal of The Franklin Institute, 351(5), 2411-2429, 2014.
- Alagoz BB, Ates A, Yeroglu C. “Auto-tuning of PID controller according to fractional order reference model approximation for DC rotor control”. Journal of the Mechatronics, 23(7), 789-797, 2013.
- Ates A, Yeroglu C, Alagoz BB, Senol B. “Tuning of Fractional Order PID with Master Slave Stochastic Multi-Parameter Divergence Optimization Method”. International Conference on Fractional Differentiation and Its Applications, Catania, Italy, 23-25 June 2014.
- Monje CA, Vinagre BM, Chen YQ, Feliu V, Lanusse P, Sabatier J. “Proposals for fractional PIλDµ tuning” 1st IFAC Symposium on Fractional Differentiation and its Applications, Bordeaux, France,19-21 July 2004.
- Valerio D. “Ninteger v. 2.3 Fractional Control Toolbox for MATLAB,” http://web.ist.utl.pt/~duarte.valerio, (10.10.2015).
- Xie C, Mark AT, “Lane-based evacuation network optimization: An integrated Lagrangian relaxation and tabu search approach”. Transportation Research Part C: Emerging Technologies, 19(1), 40-63, 2011.
Two degrees of freedom FOPID control loop design via SMDO algorithm
Yıl 2016,
Cilt: 22 Sayı: 8, 671 - 676, 27.12.2016
Abdullah Ateş
,
Celaleddin Yeroğlu
Öz
This
paper presents a design method for Two Degrees of Freedom control structure
with Fractional Order PID controller using stochastic multi parameter
divergence optimization algorithm. This control structure is applied to
feedback, feed-forward and component separated type control loops and
controller parameters are obtained with the optimization algorithm. Then, the
performance of the three various control loops are compared.
Kaynakça
- Horowitz IM. Synthesis of Feedback Systems, The University of Michigan Academic Press, New York, 1963.
- Araki M. “PID control system with reference feed forward (PID-FF control systems).” 23rd Society of Instrument and Control Engineers Annual Conference, Tokyo; Japan, July 1984.
- Araki M, Taguchi H. “Two-degree-of-freedom PID controllers”. International Journal of Control Automation and Systems, 1, 401-411, 2003.
- Nagashio T, Kida T, Hamada Y, Ohtani T. “Robust Two-Degrees-of-Freedom Attitude Controller Design and Flight Test Result for Engineering Test Satellite-VIII Spacecraft”. IEEE Transactions on Control Systems Technology, 22(1), 157-168, 2014.
- Yesil E, Guzelkaya M, Eksin I, Tekin OA. “Online Tuning of Set-point Regulator with a Blending Mechanism Using PI Controller”. Turkish Journal of Electrical Engineering and Computer Sciences, 16(2), 143-157, 2008.
- Sasaki M, Fujihara K, Yamada H, Nam Y, Ito S. “Two-degree-of-freedom control of a self-sensing micro-actuator for HDD”. 22nd International Symposium on Intelligent Control, Singapore, 1-3 October 2007.
- Rout BK, Mittal RK, “Parametric design optimization of 2-DOF R–R planar manipulator a design of experiment approach”. Robotics and Computer-Integrated Manufacturing, 24(2), 239-248, 2008.
- Alfaro VM, Vilanova R, Arrieta O. “Considerations on set-point weight choice for 2-DoF PID controllers”. Advanced Control of Chemical Processes IFAC, 7, 721-726, 2009.
- Feng G, Xiao-ping Z. “Research on fractional order two-degrees-of-freedom flight control technology of unmanned air vehicle”. International Conference on Computer Science and Information Processing (CSIP), Xian, China, 24-26 August 2012.
- Ates A, Yeroglu C. “Online Tuning of Two Degrees of Freedom Fractional Order Control Loops”, Balkan Journal of Electrical & Computer Engineering, 1(4), 5-11, 2016.
- Gutierrez RE, Rosario JM, Machado JAT. “Fractional Order Calculus: Basic Concepts and Engineering Applications, Mathematical Problems in engineering,” Hindawi Publishing Corporation, 2010, 1-9, 2010.
- Podlubny I. Fractional Differential Equations, Mathematics in Science and Engineering. Academic Press, USA, 1999.
- Ross B. Fractional Calculus and its Applications. Springer, Verlag-Berlin, New York, 1975.
- Hamamci SE. "An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers," IEEE Transactions on Automatic Control, 52, 10, 1964-1969, 2007.
- Podlubny I. “Fractional order systems and PIλDμ controller”. IEEE Transactions on Automatic Control, 44, 208-214, 1999.
- Yeroglu C, Tan N. “Note on fractional-order proportional-integral-differential controller design”. IET Control Theory and Applications, 5(17), 1978-1989, 2011.
- Yeroglu C, Tan N. “Classical controller design techniques for fractional order case”. ISA Transactions, 50(3), 461-472, 2011.
- Radek M, Prokop R, “Single-parameter tuning of PI controllers: theory and application”. Journal of The Franklin Institute, 348, 2059–2071, 2011.
- Aydoğdu Ö, Akkaya R, “An effective real coded GA based fuzzy controller for speed control of a BLDC motor without speed sensor”. Turkish Journal of Electrical Engineering and Computer Sciences, 19, 413–430, 2011.
- El-Khazali R. “Fractional-order controller design”. Computers & Mathematics with Applications, 66(5), 639-646, 2013.
- HongSheng L, Luo Y, Chen YQ. “A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments”. IEEE Transactions on Control Systems Technology, 18(2), 516-520, 2010.
- Ates A, Yeroglu C. “Tabu Search Algorithm for Fractional Order PID via Non-linear Multi Objective Function”. International Conference on Fractional Differentiation and Its Applications, Catania, Italy 23-25 June 2014.
- Yeroglu C. Ates A. “A stochastic multi-parameters divergence method for online auto-tuning of fractional order PID controllers”. Journal of The Franklin Institute, 351(5), 2411-2429, 2014.
- Alagoz BB, Ates A, Yeroglu C. “Auto-tuning of PID controller according to fractional order reference model approximation for DC rotor control”. Journal of the Mechatronics, 23(7), 789-797, 2013.
- Ates A, Yeroglu C, Alagoz BB, Senol B. “Tuning of Fractional Order PID with Master Slave Stochastic Multi-Parameter Divergence Optimization Method”. International Conference on Fractional Differentiation and Its Applications, Catania, Italy, 23-25 June 2014.
- Monje CA, Vinagre BM, Chen YQ, Feliu V, Lanusse P, Sabatier J. “Proposals for fractional PIλDµ tuning” 1st IFAC Symposium on Fractional Differentiation and its Applications, Bordeaux, France,19-21 July 2004.
- Valerio D. “Ninteger v. 2.3 Fractional Control Toolbox for MATLAB,” http://web.ist.utl.pt/~duarte.valerio, (10.10.2015).
- Xie C, Mark AT, “Lane-based evacuation network optimization: An integrated Lagrangian relaxation and tabu search approach”. Transportation Research Part C: Emerging Technologies, 19(1), 40-63, 2011.