Abstract
The design of the closed-loop control system must take into account the system performance to load-disturbance and set-point changes and its robustness to variation of the controlled process characteristics, preserving the well-known trade-off among all these variables. This work faces with the combined servo/regulation performance and robustness problem, in order to get an intermediate solution between the robustness increase and the consequent loss in the optimality degree of the performance. The proposed balanced Proportional-Integrative-Derivative (PID) control design is tested against other tuning methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Alfaro VM (2006) Low-order models identification from process reaction curve. Ciencia y Tecnología (Costa Rica) 24(2):197–216 (in Spanish)
Arrieta O, Vilanova R (2010) Performance degradation analysis of controller tuning modes: application to an optimal PID tuning. Int J Innov Comput Inf Contr 6(10):4719–4729
Arrieta O, Vilanova R (2011) Simple PID tuning rules with guaranteed M s robustness achievement. In: Proceedings of 18th IFAC world congress, August 28–September 2, Milano, Italy
Arrieta O, Visioli A, Vilanova R (2010) PID autotuning for weighted servo/regulation control operation. J Process Contr 20(4):472–480
Åström KJ, Hägglund T (1984) Automatic tuning of simple regulators with specifications on phase and amplitude margin. Automatica 20:645–651
Åström KJ, Hägglund T (1995) PID controllers: theory, design, and tuning. Instrument of Society of America, Research Triangle Park, North Carolina
Åström KJ, Hägglund T (2000) Benchmark systems for PID control. In: Proceedings of IFAC digital control: past, present and future of PID control, Terrassa, Spain
Åström KJ, Hägglund T (2001) The future of PID control. Contr Eng Pract 9:1163–1175
Åström KJ, Hägglund T (2004) Revisiting the Ziegler–Nichols step response method for PID control. J Process Contr 14:635–650
Åström KJ, Hägglund T (2006) Advanced PID control. ISA: The Instrumentation, Systems, and Automation Society
Babb M (1990) Pneumatic instruments gave birth to automatic control. Contr Eng 37(12):20–22
Bennett S (2000) The past of PID controllers. In: Proceedings of IFAC digital control: past, present and future of PID control, Terrassa, Spain
Chen D, Seborg DE (2002) PI/PID controller design based on direct synthesis and disturbance rejection. Ind Eng Chem Res 41(19):4807–4822
Cohen GH, Coon GA (1953) Theoretical considerations of retarded control. ASME Trans 75:827–834
Fung HW, Wang QG, Lee TH (1998) PI tuning in terms of gain and phase margins. Automatica 34:1145–1149
Ho WK, Hang CC, Cao LS (1995) Tuning PID controllers based on gain and phase margin specifications. Automatica 31(3):497–502
Ho WK, Lim KL, Hang CC, Ni LY (1999) Getting more phase margin and performance out of PID controllers. Automatica 35:1579–1585
Ingimundarson A, Hägglund T, Åström KJ (2004) Criteria for desing of PID controllers. Technical report, ESAII, Universitat Politecnica de Catalunya
Kristiansson B, Lennartson B (2006) Evaluation and simple tuning of PID controllers with high-frequency robustness. J Process Contr 16:91–102
López AM, Miller JA, Smith CL, Murrill PW (1967) Tuning controllers with Error-Integral criteria. Instru Technol 14:57–62
Martin J, Smith CL, Corripio AB (1975) Controller tuning from simple process models. Instru Technol 22(12):39–44
O’Dwyer A (2003). Handbook of PI and PID controller tuning rules. Imperial College Press, London, UK
Rivera DE, Morari M, Skogestad S (1986) Internal model control 4 PID controller design. Ind Eng Chem Res 25:252–265
Rovira A, Murrill PW, Smith CL (1969) Tuning controllers for setpoint changes. Instru Contr Syst 42:67–69
Skogestad S (2003) Simple analytic rules for model reduction and PID controller tuning. J Process Contr 13:291–309
Tan W, Liu J, Chen T, Marquez HJ (2006) Comparison of some well-known PID tuning formulas. Comput Chem Eng 30:1416–1423
Vilanova R (2008) IMC based robust PID design: tuning guidelines and automatic tuning. J Process Contr 18:61–70
Vilanova R, Alfaro VM, Arrieta O (2011) Ms based approach for simple robust PI controller tuning design. In: Proceedings of the international multiconference of engineers and computer scientists 2011, Hong Kong, 16–18 March 2011. Lecture notes in engineering and computer science, pp 767–771
Yaniv O, Nagurka M (2004) Design of PID controllers satisfying gain margin and sensitivity constrains on a set of plants. Automatica 40:111–116
Zhuang M, Atherton D (1993) Automatic tuning of optimum PID controllers. IEE Proc Part D 140(3):216–224
Ziegler JG, Nichols NB (1942) Optimum settings for automatic controllers. ASME Trans 64:759–768
Acknowledgments
This work has received financial support from the Spanish CICYT program under grant DPI2010-15230. Also, the financial support from the University of Costa Rica and from the MICIT and CONICIT of the Government of the Republic of Costa Rica is greatly appreciated.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Arrieta, O., Vilanova, R., Alfaro, V.M. (2012). Balanced Performance/Robustness PID Design. In: Ao, S., Castillo, O., Huang, X. (eds) Intelligent Control and Innovative Computing. Lecture Notes in Electrical Engineering, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1695-1_8
Download citation
DOI: https://doi.org/10.1007/978-1-4614-1695-1_8
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-1694-4
Online ISBN: 978-1-4614-1695-1
eBook Packages: EngineeringEngineering (R0)