Fractional robust PID control of a solar furnace

Abstract This paper deals with the fractional control of the temperature in solar furnace plants. As for all the concentrated solar plants, the solar furnace can be modeled as a nonlinear system, where the dynamics strongly depends on the operating temperature. However, to improve the effectiveness of this technology, the control system should guarantee an acceptable performance independently from the operating point. In order to overcome this problem, we propose to use the generalized isodamping technique, where we aim at achieving the invariance of the control loop phase margin with respect to the plant operating point through a properly designed fractional-order proportional-integral-derivative controller. A gain-scheduling algorithm is also introduced to cope with wide plant variations. Simulation and experimental results show the effectiveness of the proposed methodology.

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

[2]  Kevin L. Moore,et al.  Relay feedback tuning of robust PID controllers with iso-damping property , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[3]  M. Berenguel,et al.  Thermo-economic design optimization of parabolic trough solar plants for industrial process heat applications with memetic algorithms , 2014 .

[4]  Antonio Visioli,et al.  The generalised isodamping approach for robust fractional PID controllers design , 2017, Int. J. Control.

[5]  Sanya Carley,et al.  The American Recovery and Reinvestment Act , 2014 .

[6]  Ramon Vilanova,et al.  PID control in the Third Millennium : lessons learned and new approaches , 2012 .

[7]  Antonio Visioli,et al.  H∞H∞ control of fractional linear systems , 2013, Autom..

[8]  Li Meng,et al.  Design of a new fractional-order QFT controller based on automatic loop shaping , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[9]  Antonio Visioli,et al.  Advances in Robust Fractional Control , 2014 .

[10]  Raul Rivas-Perez,et al.  Comparative Analysis of Stability and Robustness between Integer and Fractional-Order PI Controllers for First Order plus Time Delay Plants , 2011 .

[11]  M. Berenguel,et al.  Copper sintering in a solar furnace through fuzzy control , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[12]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[13]  Ramon Vilanova,et al.  H∞ optimization‐based fractional‐order PID controllers design , 2014 .

[14]  Manuel Berenguel,et al.  Solar Energy Fundamentals , 2012 .

[15]  Carlos Balaguer,et al.  DE-based tuning of PI(λ)D(μ) controllers. , 2015, ISA transactions.

[16]  Luigi Fortuna,et al.  New results on the synthesis of FO-PID controllers , 2010 .

[17]  Antonio Visioli,et al.  Optimal tuning rules for proportional-integral-derivative and fractional-order proportional-integral-derivative controllers for integral and unstable processes , 2012 .

[18]  Manuel Berenguel,et al.  Application of a gain scheduling generalized predictive controller to a solar power plant , 1994 .

[19]  Xavier Moreau,et al.  An overview of the CRONE approach in system analysis, modeling and identification, observation and control , 2008 .

[20]  Antonio Visioli,et al.  Robust combined feedback/feedforward control for fractional FOPDT systems , 2016 .

[21]  YangQuan Chen,et al.  Tuning and auto-tuning of fractional order controllers for industry applications , 2008 .

[22]  Duarte Valério,et al.  Tuning of fractional PID controllers with Ziegler-Nichols-type rules , 2006, Signal Process..

[23]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[24]  Alain Oustaloup,et al.  Third generation CRONE control , 1993, Proceedings of IEEE Systems Man and Cybernetics Conference - SMC.

[25]  Eduardo F. Camacho,et al.  Temperature control of a solar furnace , 1999 .

[26]  O. Agrawal,et al.  Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering , 2007 .

[27]  Alain Ferriere,et al.  Solar Processing of Materials: Opportunities and New Frontiers , 1999 .

[28]  Glan Devadhas,et al.  Design and implementation of temperature controller for solar furnace , 2014, 2014 International Conference on Control, Instrumentation, Communication and Computational Technologies (ICCICCT).

[29]  J. Sabatier,et al.  The CRONE aproach: Theoretical developments and major applications , 2006 .

[30]  E. Guillot,et al.  An adaptive temperature control law for a solar furnace , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[31]  Antonio Visioli,et al.  Constrained control strategies for disturbance rejection in a solar furnaces , 2013 .

[32]  A. J. Calderón,et al.  On Fractional PIλ Controllers: Some Tuning Rules for Robustness to Plant Uncertainties , 2004 .

[33]  João M. Lemos,et al.  Optimal control of the temperature in a solar furnace , 2016 .

[34]  Manuel Berenguel,et al.  On reduction of control effort in feedback linearization GPC strategy applied to a solar furnace , 2016 .

[35]  Antonio Visioli,et al.  On the anti-windup schemes for fractional-order PID controllers , 2012, Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies & Factory Automation (ETFA 2012).

[36]  Antonio Visioli,et al.  Tuning rules for optimal PID and fractional-order PID controllers , 2011 .

[37]  P. Lino,et al.  New tuning rules for fractional PIα controllers , 2007 .

[38]  Xavier Moreau,et al.  Stability and resonance conditions of elementary fractional transfer functions , 2011, Autom..

[39]  R. Balluffi,et al.  The mechanism of sintering of copper , 1957 .

[40]  João Miranda Lemos,et al.  Temperature control of a solar furnace for material testing , 2011, Int. J. Syst. Sci..

[41]  Eduardo Zarza,et al.  Parabolic-trough solar collectors and their applications , 2010 .

[42]  Xavier Moreau,et al.  The CRONE Suspension , 1996 .

[43]  Ennio Macchi,et al.  Comparison of different solar plants based on parabolic trough technology , 2012 .

[44]  João Miranda Lemos,et al.  Predictive adaptive temperature control in a solar furnace for material stress tests , 2012, 2012 IEEE International Conference on Control Applications.

[45]  Vicente Feliu-Batlle,et al.  Fractional robust control of main irrigation canals with variable dynamic parameters , 2007 .

[46]  J. A. Tenreiro Machado,et al.  Tuning of PID Controllers Based on Bode’s Ideal Transfer Function , 2004 .

[47]  Manuel Berenguel,et al.  Constrained Temperature Control of a Solar Furnace , 2012, IEEE Transactions on Control Systems Technology.

[48]  Manuel Berenguel,et al.  Control of Solar Energy Systems , 2012 .

[49]  Mathieu Moze,et al.  LMI stability conditions for fractional order systems , 2010, Comput. Math. Appl..

[50]  José Luis Guzmán,et al.  Implementation of feedback linearization GPC control for a solar furnace , 2013 .

[51]  F. Trombe,et al.  Solar furnaces and their applications , 1957 .

[52]  Y. Chen,et al.  Practical Tuning Rule Development for Fractional Order Proportional and Integral Controllers , 2008 .

[53]  Peter E. Glaser A solar furnace for use in applied research , 1957 .

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