Abstract
Reset compensation has been used to overcome limitations of LTI compensation. In this chapter, a new reset compensator, referred to as PI + CI, is introduced. It basically consists of adding a Clegg integrator to a PI compensator with the goal of improving the closed-loop response by using the nonlinear characteristic of this element. It turns out that by resetting a percentage of the integral term in a PI compensator, a significant improvement can be obtained over a well-tuned PI compensator in some relevant practical cases, such as systems with dominant lag and integrating systems. The main goal is the development of PI + CI tuning rules for basic dynamic systems in a wide range of applications, including first and higher order plus deadtime systems. In addition, a number of design improvements such as the use of a fixed or variable reset band, the integration with QFT, and the use of a variable reset percentage are discussed. This chapter is based on the publications (Baños and Vidal in Proc. European Control Conference, Kos, Greece, 2007; Baños and Vidal in Proc. IEEE International Symposium on Industrial Electronic, Vigo, Spain, 2007; Fernández et al. in IEEE Trans. Ind. Electron., 2010, doi:10.1109/TIE.2010.2077610; Vidal et al. in 34th Annual Conference of the IEEE Industrial Electronics Society, Orlando, Florida, USA, 2008; Vidal and Baños in 16th IEEE Mediterranean Conference on Control and Automation, Ajaccio, France, 2008; Vidal and Baños in European Control Conference, Budapest, Hungary, 2009; Vidal and Baños in 14th IEEE International Conference on Emerging Technologies and Factory Automation, Mallorca, Spain, 2009).
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References
Åström, K.J., Hägglund, T.: The future of PID control. Control Eng. Pract. 9, 1163–1175 (2001)
Bakkeheim, J., Smogeli, O.N., Johansen, T.A., Sorensen, A.J.: Improved transient performance by Lyapunov-based reset of PI thruster control in extreme seas. In: Proc. IEEE Conference on Decision and Control, pp. 4052–4057 (2006)
Baños, A., Vidal, A.: Definition and tuning of a PI + CI reset controller. In: Proc. European Control Conference, Kos, Greece (2007)
Baños, A., Vidal, A.: Design of PI + CI reset compensators for second order plants. In: Proc. IEEE International Symposium on Industrial Electronic, Vigo, Spain (2007)
Baños, A., Carrasco, J., Barreiro, A.: Reset-times dependent stability of reset systems. In: Proc. European Control Conference, Kos, Greece (2007)
Beker, O., Hollot, C.V., Chait, Y.: Plant with integrator: an example of reset control overcoming limitations of feedback. IEEE Trans. Autom. Control 46(11), 1797–1799 (2001)
Clegg, J.C.: A nonlinear integrator for servomechanisms. Trans. AIEE, Part II 77, 41–42 (1958)
Fernández, A.F., Barreiro, A., Baños, A., Carrasco, J.: Reset control for passive bilateral teleoperation. IEEE Trans. Ind. Electron. (2010). doi:10.1109/TIE.2010.2077610
Horowitz, I.M.: Quantitative Feedback Theory. QFT Press, Boulder (1992)
Horowitz, I.M., Rosenbaum, P.: Nonlinear design for cost of feedback reduction in systems with large parameter uncertainty. Int. J. Control 24(6), 977–1001 (1975)
Krishman, K.R., Horowitz, I.M.: Synthesis of a nonlinear feedback system with significant plant-ignorance for prescribed system tolerances. Int. J. Control 19(4), 689–706 (1976)
Lee, Y., Park, S., Lee, M., Brosilow, C.: PID controller tuning for desired closed-loop responses for SI/SO systems. AIChE J. 44(1), 106–115 (1998)
Rivera, D.E., Morari, M., Skogestad, S.: Internal model control 4, PID controller design. Ind. Eng. Chem. Process Des. Dev. 25(1), 252–265 (1986)
Skogestad, S.: Simple analytic rules for model reduction and PID controller tuning. J. Process Control 13(4), 291–309 (2003)
Smith, C.L., Corripio, A.B., Martin, J.: Controller tuning from simple process models. Instrum. Technol. 22(12), 39–44 (1975)
Vidal, A., Baños, A.: QFT-based design of PI + CI reset compensator: applications in process control. In: 16th IEEE Mediterranean Conference on Control and Automation, Ajaccio, France (2008)
Vidal, A., Baños, A.: Stability of reset control systems with variable reset: application to PI + CI compensation. In: European Control Conference, Budapest, Hungary (2009)
Vidal, A., Baños, A.: Reset compensation applied on industrial heat exchangers. In: 14th IEEE International Conference on Emerging Technologies and Factory Automation, Mallorca, Spain (2009)
Vidal, A., Baños, A., Moreno, J.C., Berenguel, M.: PI + CI compensation with variable reset: application on solar collector fields. In: 34th Annual Conference of the IEEE Industrial Electronics Society, Orlando, Florida, USA (2008)
Wu, D., Guo, G., Wang, Y.: Reset Integral-Derivative Control for HDD servo systems. IEEE Trans. Control Syst. Technol. 15(1), 161–167 (2007)
Yang, T.: Impulsive Control Theory. Lecture Notes in Control and Information Sciences, vol. 272. Springer, Berlin (2001)
Zheng, Y., Chait, Y., Hollot, C.V., Steinbuch, M., Norg, M.: Experimental demonstration of reset control design. Control Eng. Pract. 8(2), 113–120 (2000)
Zheng, J., Guo, Y., Fu, M., Wang, Y., Xie, L.: Development of an extended reset controller and its experimental demonstration. IET Control Theory Appl. 2, 866–874 (2008)
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Baños, A., Barreiro, A. (2012). Design of Reset Control Systems. In: Reset Control Systems. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2250-0_5
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DOI: https://doi.org/10.1007/978-1-4471-2250-0_5
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