Abstract
This chapter presents an introduction to reset control systems. The chapter pursues two objectives: The first one is to give a quick and simple description of what a reset control is, and provide basic explanations on why and when it is convenient to use this strategy. This objective is covered by the first two sections and is summarized in this key idea: a reset control is a simple nonlinear control technique very effective for linear plants subject to fundamental design limitations. The second objective of the chapter is to give a brief survey on the literature on analysis and design of reset control systems. The historical perspective begins with the early ideas on reset control, including the popular Clegg integrator and the first-order-reset-element (FORE) by Horowitz and coworkers. The following section presents the first series of rigorous results on analysis and design of reset controllers using a state-space description, and including full reset and partial reset compensators. The next section deals with the relations between reset control and the wider field of impulsive control, from different points of view. The next two sections cover new formalizations of reset control within the field of hybrid systems, including several recent approaches to reset control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aangenent, W.H.T.M., Witvoet, G., Heemels, W.P.M.H., van de Molengraft, M.J.G., Steinbuch, M.: Performance analysis of reset control systems. Int. J. Robust Nonlinear Control 20(11), 1213–1233 (2009)
Åström, K.J.: Limitations on control system performance. Eur. J. Control 6, 2–20 (2000)
Åström, K.J., Murray, R.M.: Feedback Systems. An Introduction for Scientists and Engineers. Princeton University Press, Princeton (2008)
Bainov, D.D., Simeonov, P.S.: Systems with Impulse Effect: Stability, Theory and Applications. Ellis Horwood, Chichester (1989)
Baños, A., Barreiro, A.: Delay-independent stability of reset control systems. In: 32nd Annual Conference of IEEE Industrial Electronics Society, Paris, France (2006)
Baños, A., Vidal, A.: Definition and tuning of PI + CI reset controller. In: European Control Conference, Kos, Grecia (2007)
Baños, A., Carrasco, J., Barreiro, A.: Reset times-dependent stability of reset control system. In: European Control Conference, Kos, Grecia (2007)
Baños, A., Vidal, A.: Design of PC + CI reset compensators for second order plants. In: IEEE International Symposium on Industrial Electronics, Vigo, España (2007)
Baños, A., Carrasco, J., Barreiro, A.: Reset times-dependent stability of reset control with unstable base systems. In: IEEE International Symposium on Industrial Electronics, Vigo, España (2007)
Baños, A., Barreiro, A.: Delay dependent stability of reset control systems. In: American Control Conference, New York, EE.UU (2007)
Baños, A., Dormido, S., Barreiro, A.: Stability analysis of reset control systems with reset band. In: 3rd IFAC Conference on Analysis and Design of Hybrid Systems, Zaragoza, España (2009)
Baños, A., Barreiro, A.: Delay-independent stability of reset systems. IEEE Trans. Autom. Control 54(2), 341–346 (2009)
Baños, A., Barreiro, A.: Limit cycles analysis in reset systems with reset band. Nonlinear Anal. Hybrid Syst. (2010). doi:10.1016/j.nahs.2010.07.004
Baños, A., Carrasco, J., Barreiro, A.: Reset times-dependent stability of reset control systems. IEEE Trans. Autom. Control 56(1), pp. 217–223 (2011)
Baños, A., Mulero, J.I.: On the well-posedness of reset control systems. Technical Report TR-DIS-1-2011, University of Murcia (2011)
Barreiro, A., Baños, A.: Delay-dependent stability of reset systems. Automatica 46(1), 216–221 (2010)
Beker, O., Hollot, C.V., Chait, Y., Han, H.: Plant with integrator: an example of reset control overcoming limitations of linear systems. IEEE Trans. Autom. Control 46(11), 1797–1799 (2001)
Beker, O., Hollot, C.V., Chait, Y., Han, H.: Fundamental properties of reset control systems. Automatica 40, 905–915 (2004)
Carrasco, J., Baños, A., van der Schaft, A.: A passivity approach to reset control of nonlinear systems. In: 34th Annual Conference of the IEEE Industrial Electronics Society, Orlando, EE.UU (2008)
Carrasco, J., Baños, A., Barreiro, A.: Stability of reset control systems with inputs. In: 16th IEEE Mediterranean Conference on Control and Automation, Ajaccio, Francia (2008)
Chait, Y., Hollot, C.V.: On Horowitz’s contributions to reset control. Int. J. Robust Nonlinear Control 12, 335–355 (2002)
Clegg, J.C.: A nonlinear integrator for servomechanism. Trans. AIEE, Part II 77, 41–42 (1958)
Fernández, A.F., Barreiro, A., Baños, A., Carrasco, J.: Reset control for passive teleoperation applications in process control. In: 34th Annual Conference of the IEEE Industrial Electronics Society, Orlando, EE.UU (2008)
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
Feuer, A., Goodwin, G.C., Salgado, M.: Potential benefits of hybrid control for linear time invariant plants. In: Proc. Amer. Control Conf., Alburquerque, pp. 2790–2794 (1997)
Goebel, R., Sanfelice, R., Teel, A.R.: Hybrid dynamical systems. IEEE Control Syst. Mag. (2009)
Goodwin, G.C., Graebe, S.F., Salgado, M.E.: Control System Design. Prentice-Hall, Upper Saddle River (2001)
Guo, Y., Wang, Y., Zheng, J., Xie, L.: Stability analysis, design and application of reset control systems. In: Proceedings of the IEEE Int. Conf. on Control and Automation, Guangzhou, China, May 30–June 1 (2007)
Haddad, W.M., Nersesov, S.G., Chellaboina, V.S.: Energy-based control for hybrid port-controlled Hamiltonian systems. Automatica 39, 1425–1435 (2003)
Haddad, W.M., Chellaboina, V.S., Nersesov, S.G.: Impulsive and Hybrid Dynamical Systems. Stability, Dissipativity and Control. Princeton University Press, Princeton (2006)
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)
Krishnan, 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 (1974)
Lakshmikantham, V., Bainov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)
Loquen, T., Tarbouriech, S., Prieur, Ch.: Stability of reset control systems with nonzero reference. In: Proceedings of the 47th IEEE Conf. on Decision and Control, Cancun, Mexico (2008)
Middleton, R.H., Graebe, S.F.: Slow stable open loop poles: to cancel or not to cancel. Automatica 35, 877–886 (1999)
Nešić, D., Zaccarian, L., Teel, A.R.: Stability properties of reset systems. Automatica 44(8), 2019–2026 (2008)
Seron, M., Braslavsky, J.H., Goodwin, G.C.: Fundamental Limitations in Filtering and Control. Springer, London (1997)
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, EE.UU (2008)
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, Francia (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.: Reset compensation for temperature control: experimental applications on heat exchangers. Chem. Eng. J. 159(1–3), 170–181 (2010)
Yang, T.: Impulsive Control Theory. Lecture Notes in Control and Information Sciences, vol. 272. Springer, Berlin (2001)
Zaccarian, L., Nesic, D., Teel, A.R.: First order reset elements and the Clegg integrator revisited. Proc. Am. Control Conf. 1, 563–568 (2005)
Zheng, J., Guo, Y., Fu, M., Wang, Y., Xie, L.: Improved reset control design for a PZT positioning stage. In: Proceedings of the 16th IEEE Int. Conf. on Control Applications, Singapore (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag London Limited
About this chapter
Cite this chapter
Baños, A., Barreiro, A. (2012). Introduction. In: Reset Control Systems. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2250-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2250-0_1
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2216-6
Online ISBN: 978-1-4471-2250-0
eBook Packages: EngineeringEngineering (R0)