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Vol. 8. Núm. 3.
Páginas 141-158 (Julio - Septiembre 2011)
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Vol. 8. Núm. 3.
Páginas 141-158 (Julio - Septiembre 2011)
Open Access
Control PID robusto: Una visión panorámica
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16053
Ramon Vilanovaa,
Autor para correspondencia
Ramon.Vilanova@uab.cat

Corresponding author.
, Víctor M. Alfaroa,b
a Departament de Telecomunicació i d’Enginyeria de Sistemes Escola d’Enginyeria, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, España
b Departamento de Automática, Escuela de Ingenieŕıa Eléctrica, Universidad de Costa Rica, San Jośe, 11501-2060 Costa Rica
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En este trabajo se presenta una perspectiva general de los diferentes enfoques existentes, con que se ha afrontado el problema de obtener un controlador proporcional integral derivativo (PID) robusto. La estructura restringida y muy particular que impone el controlador PID, supone por un lado, un atractivo que ha sido la causa de su extenso uso en el sector industrial, pero por el otro, impone una serie de dificultades al plantear la incorporación de consideraciones de robustez en su diseño. Hoy en día, el abanico de posibilidades de diseño de un controlador PID es realmente amplio, pudiendo afrontarse con pŕacticamente cualquier enfoque, en concreto con cualquier enfoque de control robusto. A este respecto, es importante distinguir entre los métodos y las reglas de sintonía, siendo de especial inteŕes en el caso del controlador PID, la generacíon de reglas de sintonía a la vez simples y que proporcionen ciertas garantías de robustez. Como paso previo a esta clasificacíon, conviene establecer de qúe manera se representa y mide la robustez. Por lo tanto, de qúe manera acaba formuĺandose como especificacíon de dis¿no. El trabajo repasa tambíen, conceptos aparecidos recientemente en la literatura del control PID y relacionados con la robustez, como son el cumplimiento de la misma y la fragilidad del controlador.

Palabras clave:
Control PID
Robustez
Incertidumbre
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Referencias
[Alćantara et al., 2010a]
S. Alćantara, C. Pedret, R. Vilanova.
On the model matching approach to PID design: Analytical perspective for robust servo/regulator tradeo_ tuning.
Journal of Process Control, 20 (2010), pp. 596-608
[Alćantara et al., 2010b]
S. Alćantara, C. Pedret, R. Vilanova, W. Zhang.
Simple analytical min-max model matching approach to robust proportional-integrativederivative tuning with smooth set-point response.
Ind. Eng. Chem. Res, 49 (2010), pp. 690-700
[Alćantara et al., 2011]
Alćantara, S., Zhang, W., Pedret, C., Vilanova, R., Skogestad, S., 2011. IMClike analytical hinf design with s/sp mixed sensitivity consideration: Utility in PID tuning guidance. Journal of Process Control.(accepted for publication).
[Alfaro, 2006]
V.M. Alfaro.
Identificacíon de modelos de orden reducido a partir de la curva de reaccíon del proceso. Ciencia y Tecnología (Costa Rica), 24 (2006), pp. 197-216
[Alfaro, 2007]
Alfaro, V.M., 2007. PID controllers’ fragility. ISA Transactions 46, 555-559.
[Alfaro et al., 2009a]
Alfaro, V.M., Vilanova, R., Arrieta, O., 2009a. Considerations on Set-Point Weight choice for 2-DoF PID Controllers. In: IFAC International Symposium on Advanced Control on Chemical Process (ADCHEM 2009). 12-15.
[July et al., 2009b]
July, Istambul, Turkey. Alfaro, V.M., Vilanova, R., Arrieta, O., 2009b. Fragility Analysis of PID Controllers. In: 18th International Conference on Control Applications part of the 2009 IEEE Multi-Conference on Systems and Control (CCA2009). July 8-9, Saint Petersburg, Russia.
[Alfaro et al., 2009c]
Alfaro, V.M., Vilanova, R., Arrieta, O., 2009c. NORT: a Non-Oscillatory Robust Tuning Approach for 2-DoF PI Controllers. In: 18th International Conference on Control Applications part of the 2009 IEEE Multi-Conference on Systems and Control (CCA2009). July 8-9, Saint Petersburg, Russia.
[Alfaro et al., 2009d]
Alfaro, V.M., Vilanova, R., Arrieta, O., 2009d. A Single-Parameter Robust Tuning Approach for Two-Degree-of-Freedom PID Controllers. In: European Control Conference (ECC2009). August 23-26, Budapest, Hungary.
[Alfaro et al., 2010]
V.M. Alfaro, R. Vilanova, O. Arrieta.
Maximum Sensivity Based Robust Tuning for Two-Degree-of-Freedom Proportional-Integral Controllers.
Ind. Eng. Chem. Res., 49 (2010), pp. 5415-5423
[Åström and Hägglund, 2004]
K. Åström, T. Hägglund.
Revisiting the Ziegler-Nichols step respose method for PID control.
Journal of Process Control, 14 (2004), pp. 635-650
[Åström and Hägglund, 1984]
K.J. Åström, T. Hägglund.
Automatic tuning of simple regulators with specifications on phase and amplitude margins.
Automatica, 20 (1984), pp. 645-651
[Åström and Hägglund, 1995]
Åström, K.J., Hägglund, T., 1995. PID Controllers: Theory, Design and Tuning. Instrument Society of America, Research Triangle Park, NC, USA.
[Åström and Hägglund, 2006]
Åström, K.J., Hägglund, T., 2006. Advanced PID Control. ISA - The Instrumentation, Systems, and Automation Society, Research Triangle Park, NC, USA.
[Åström et al., 1998]
K.J. Åström, H. Panagopoulos, T. Hägglund.
Design of PI Controllers based on Non-Convex Optimization.
Automatica, 34 (1998), pp. 585-601
[Babb, 1990]
M. Babb.
Pneumatic Instruments Gave Birth to Automatic Control.
Control Engineering, 37 (1990 October), pp. 20-22
[Bennett, 2000]
Bennett, S., April 2000. The Past of PID Controllers. In: IFAC Digital Control: Past, Present and Future of PID Control. Terrassa, Spain.
[Blanchini et al., 2004]
F. Blanchini, A. Lepschy, S. Miani, U. Viaro.
Characterization of PID and lead/lag compensators satisfying given hinf specifications.
IEEE Trans. Automat. Contr., 48 (2004), pp. 736-740
[Chen and Seborg, 2002]
D. Chen, D.E. Seborg.
PI/PID controller design based on direct synthesis and disturbance rejection.
Ind. Eng. Chem. Res, 41 (2002), pp. 4807-4822
[Chien and Fruehauf, 1990]
Chien, I., Fruehauf, P.S., 1990. Consider IMC tuning to improve performance. Chemical Engineering Progress, 33-41.
[Chien et al., 1952]
Chien, K.L., Hrones, J.A., Reswick, J.B., 1952. On the automatic Control of generalized passive systems. Trans. ASME, 175-185.
[Crowe and Johnson, 2002]
J. Crowe, M.A. Johnson.
Automated maximum sensitivity and phase margin specification attainment in PI control.
Asian Journal of Control, 4 (2002), pp. 388-396
[Dahlin, 1968]
E.G. Dahlin.
Designing and tuning digital controllers.
Instrumentation and Control Systems, 41 (1968), pp. 77-81
[Ge et al., 2002]
M. Ge, M. -S. Chiu, Q. -G. Wang.
Robust PID controller design via lmi approach.
Journal of Process Control, 12 (2002), pp. 3-13
[Gerry and Hansen, 1987]
J.P. Gerry, P.D. Hansen.
Choosing the Right Controller.
Chemical Engineering May, 25 (1987), pp. 65-68
[Goncalves et al., 2008]
E.N. Goncalves, R.M. Palhares, R.H.C. Takahashi.
A novel approach for h2/hinf robust pid synthesis for uncertain systems.
Journal of Process Control, 18 (2008), pp. 19-26
[Grassi et al., 2001]
E. Grassi, K. Tsakalis, S. Dash, S. Gaikwad, W. MacArthur, G. Stein.
Integrated system identification and pid controller tuning by frequency loopshaping.
IEEE Trans. Contr. Syst. Technol, 48 (2001), pp. 285-294
[Grigoriadis and Skelton, 1996]
K.M. Grigoriadis, R.E. Skelton.
Low-order control design for lmi problems using alternating projection methods.
Automatica, 32 (1996), pp. 1117-1125
[Grimble, 1994]
Grimble, M.J., 1994. Robust Industrial Control. Optimal design Approach for Polynomial Systems. Prentice-Hall International.
[Häagglund and Åström, 2002]
T. Hägglund, K.J. Åström.
Revisiting the Ziegler-Nichols tuning rules for PI control.
Asian Journal of Control, 4 (2002), pp. 354-380
[Hägglund and Åström, 2004]
T. Hägglund, K.J. Åström.
Revisiting the Ziegler-Nichols tuning rules for PI control - part II, the frequency response method.
Asian Journal of Control, 6 (2004), pp. 469-482
[Hara et al., 2006]
S. Hara, T. Iwasaki, D. Shiokata.
Robust PID control using generalizedkyp synthesis: Direct open-loop shaping in multiple frequency ranges.
IEEE Control Systems Magazine, 26 (2006), pp. 80-91
[Herreros et al., 2002]
A. Herreros, E. Baeyens, J.R. Peran.
Design of PID-type controllers using multiobjective genetic algorithms.
ISA Transactions, 41 (2002), pp. 457-472
[Ho et al., 2001]
M.-T Ho, A. Datta, S.P. Bhattacharyya.
Robust and Non-Fragile PID controller design.
International Journal of Robust and Nonlinear Control, 11 (2001), pp. 681-708
[Ho et al., 1996]
W.K. Ho, O.P. Gan, E.B. Tay, E.L. Ang.
Performance and gain and phase margins of well-known pid tuning formulas.
IEEE Trans. Control Systems Technology, 4 (1996), pp. 473-477
[Ho et al., 1995a]
W.K. Ho, C. Hang, J.H. Zhou.
Performance and gain and phase margins of well-known pi tuning formulas.
IEEE Trans. Control Systems Technology, 3 (1995), pp. 245-248
[Ho et al., 1995b]
W.K. Ho, C.C. Hang, L.S. Cao.
Tuning of PID controllers based on gain and phase margin specification.
Automatica, 31 (1995), pp. 497-502
[Ho et al., 1999]
W.K. Ho, K.W. Lim, C.C. Hang, L.Y. Ni.
Getting more phase margin and performance out of pid controllers.
Automatica, 35 (1999), pp. 1579-1585
[Johnson and Moradi, 2005]
M. Johnson, M.H. Moradi.
PID Control: New Identification and Design Methods.
Springer Verlag, (2005),
[Karimi et al., 2006]
Karimi, A., Kunze, M., Longchamp, R., 2006. Robust PID controller design by linear programming. Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, June 14-16.
[Karimi et al., 2007]
A. Karimi, M. Kunze, R. Longchamp.
Robust controller design by linear programming with application to a double-axis positioning system.
Control Engineering Practice, 15 (2007), pp. 197-208
[Keel and Battacharyya, 1997]
L.H. Keel, S.P. Battacharyya.
Robust, fragil or optimal?.
IEEE Transaction on Automatic Control, 42 (1997), pp. 1098-1105
[Kristiansson, 2003]
Kristiansson, B., 2003. PID Controllers, Design and Evaluation. Ph.D. thesis, Control and Automation Laboratory, Department of Signals and Systems, Chalmers University of Technology, Göteborg, Sweden.
[Kristiansson and Lennartson, 2006]
B. Kristiansson, B. Lennartson.
Robust Tuning of PI and PID Controllers.
IEEE Control Systems Magazine, 26 (2006), pp. 69
[Leva and Colombo, 2004]
A. Leva, A.M. Colombo.
On the IMC-based synthesis of the feedback block of isa PID regulators.
Transactions of the Institute of Measurement and Control, 26 (2004), pp. 417-440
[Malan et al., 1994]
Malan, S.A., Milanese, M., Taragna, M., 1994. Robust tuning for PID controllers with multiple performance specifications. In Proceedings of the 33rd conference on decision and control, Lake Buena Vista, FL, USA.
[Morari et al., 1988]
Morari, M., Zafiriou, E., Economou, C.G., 1988. Robust Process Control. Springer-Verlag.
[O’Dwyer, 2003]
O’Dwyer, A., 2003. Handbook of PI and PID controller tuning rules. Imperial College Press, London, UK.
[Panagopoulos et al., 2002]
H. Panagopoulos, K.J. Astro m, T. Hagglund.
Design of PID controllers based on constrained optimisation.
IEE Proceedings Control Theory and Applications, 149 (2002), pp. 32-40
[Persson, 1992]
Persson, P., 1992. Towards autonomous PID control. Ph.D. thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden.
[Reynoso et al., 2009]
G. Reynoso, X. Blasco, J. Sanchis.
Dis¿no multiobjetivo de controladores pid para el benchmark de control 2008-9.
RIAI - Revista Iberoamericana de Automática y Electŕonica Industrial, 6 (2009), pp. 93-103
[Rivera et al., 1986]
D.E. Rivera, M. Morari, S. Skogestad.
Internal Model Control.
4. PID Controller Desing. Ind. Eng. Chem. Des. Dev., 25 (1986), pp. 252-265
[Schei, 1994]
T.S. Schei.
Automatic tuning of pid controllers based on transfer function estimation.
Automatica, 30 (1994), pp. 1983-1989
[Shen, 2002]
J.-C. Shen.
New tuning method for PID controller.
ISA Transactions, 41 (2002), pp. 473-484
[Shinskey, 1988]
Shinskey, F.G., 1988. Process control systems: Application, design, and tuning. 3rd edn. McGraw-Hill, New York.
[Shinskey, 1990]
Shinskey, F.G., 1990. Putting controllers to the test. Chemical Engineering December, 96-106.
[Silva et al., 2003]
G.J. Silva, A. Datta, S.P. Bhattacharyya.
On the Stability and Controller Robustness of Some Popular PID Tuning Rules.
IEEE Transaction on Automatic Control, 48 (2003), pp. 1638-1641
[Silva et al., 2005]
Silva, G.J., Datta, A., Bhattacharyya, S.P., 2005. PID Controllers for Time-Delay Systems. Birkhäuser Boston, Ney York, NY, USA.
[Skogestad, 2003]
S. Skogestad.
Simple analytic rules for model reduction and PID controller tuning.
Journal of Process Control, 13 (2003), pp. 291-309
[Smith and Corripio, 1985]
C. Smith, A.B. Corripio.
Principles and practice of automatic process control.
Wiley, (1985),
[Tavakoli et al., 2005]
Tavakoli, S., Gri_n, I., Fleming, P.J., 2005. Robust PI Controller for Load Disturbance Rejection and Setpoint Regulation. In: IEEE comference on Control Applications. Toronto, Canada, August 28-31.
[Tavakoli et al., 2007]
Tavakoli, S., Gri_n, I., Fleming, P.J., 2007. Multi-Objetive Optimization Approach to the PI Tuning Problem. In: IEEE Congress on Evolutionary Computing (CEC2007). pp. 3165-3171.
[Toivonen and Totterman, 2006]
Toivonen, H.T., Totterman, S., 2006. Design of fixed-structure controllers with frequency-domain criteria: a multiobjective optimisation approach. IEE Proc. D, Control Theory and Applications 153.(1).
[Toscano, 2005]
R. Toscano.
A simple robust PI/PID controller design via numerical optimization approach.
Journal of Process Control, 15 (2005), pp. 81-88
[Vidyasagar, 1985]
Vidyasagar, M., 1985. Control System Synthesis. A factorization approach. MIT Press. Cambridge, Massachusetts.
[Vilanova, 2008]
R. Vilanova.
Imc based robust PID design: Tuning guidelines and automatic tuning.
Journal of Process Control, 18 (2008), pp. 61-70
[Vilanova et al., 2010]
Vilanova, R., Alfaro, V.M., Arrieta, O., Pedret, C., 2010. Analysis of the claimed robustness for pi/pid robust tuning rules. In 18th IEEE Mediterranean Con- ference on Control and Automation (MED10), June 23-25, Marrakech-Morocco.
[Visioli, 2001]
Visioli, A., 2001. Optimal tuning of PID controllers for integral and unstable processes. IEE Proc. D, Control Theory and Applications 148.(2).
[Visioli, 2006]
Visioli, A., 2006. Practical PID Control. Springer Verlag Advances in Industrial Control Series.
[Zhuang and Atherton, 1993]
M. Zhuang, D.P. Atherton.
Automatic tuning of optimum PID controllers.
IEE Proc. D, Control Theory and Applications, 140 (1993), pp. 216-224
[Ziegler and Nichols, 1942]
J.G. Ziegler, N.B. Nichols.
Optimum settings for automatic controllers.
Trans ASME, 64 (1942), pp. 759-768
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