Abstract
This chapter examines periodic output feedback (POF) control scheme for spatial control of Advanced Heavy Water Reactor (AHWR) based on three-time-scale decomposition. The numerically ill-conditioned system of AHWR is first decoupled into three subsystems of lower order, namely, slow, fast 1, and fast 2 by three-stage linear transformation and then a composite controller is designed which provides an output injection gain. Output injection matrix is then used to calculate POF gain, which is applied to the vectorized nonlinear system of AHWR to attain control of spatial power. Effectiveness of the presented control scheme is evaluated via simulations generated under various transient situations. Performance of this scheme is also compared with the fast output sampling control scheme.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bandyopadhyay, B., Lal Priya, P.S.: Discrete-time sliding mode control using infrequent output measurements. Int. Conf. Adv. Mechatron. Syst., 491–496 (2011)
Chammas, A.B., Leondes, C.T.: Pole assignment by piecewise constant output feedback. Int. J. Control 29(1), 31–38 (1979)
Chen, C.-T.: Linear System Theory and Design. Oxford University Press, New York (1999)
Hagiwara, T., Araki, M.: On the necessary condition for discrete-time pole assignability by piecewise constant output feedback. Int. J. Control 43(2), 1905–1909 (1986)
Lal Priya, P.S., Bandyopadhyay, B.: Periodic output feedback based discrete-time sliding mode control for multivariable systems. Proc. IEEE Int. Conf. Ind. Technol., 893–898 (2012)
Munje, R.K., Patre, B.M., Tiwari, A.P.: Periodic output feedback for spatial control of AHWR: a three-time-scale approach. IEEE Trans. Nucl. Sci. 61(4), 2373–2382 (2014)
Naidu, D.S.: Singular Perturbation Methodology in Control Systems. Peter Peregrinus Ltd., London (1988)
Nair, J.M., Lazar, A., Bandyopadhyay, B.: Robust control for uncertain singular perturbed systems using periodic output feedback. Proc. Am. Control Conf., 4326–4331 (2006)
Patre, B.M., Bandyopadhyay, B.: Periodic output feedback control for two-time-scale discrete systems. Proc. IEEE Int. Conf. Global Connectivity Energy, Computer, Commun. Control 1, 174–177 (1998)
Patre, B.M., Bandyopadhyay, B., Werner, H.: Control of discrete two-time-scale system by using piecewise constant periodic output feedback. Syst. Sci. 23, 23–37 (1997)
Patre, B.M., Bandyopadhyay, B., Werner, H.: Periodic output feedback control for singularly perturbed discrete model of steam power system. Proc. IEE Control Theory Appl. 146(3), 247–252 (1999)
Shimjith, S.R., Tiwari, A.P., Bandyopadhyay, B.: Design of fast output sampling controller for three-time-scale systems: application to spatial control of advanced heavy water reactor. IEEE Trans. Nucl. Sci. 58(6), 3305–3316 (2011)
Tiwari, A.P., Bandyopadhyay, B., Werner, H.: Spatial control of a large pressurize heavy water reactor by piecewise constant periodic output feedback. IEEE Trans. Nucl. Sci. 47, 389–402 (2000)
Tiwari, A.P., Reddy, G.D., Bandyopadhyay, B.: Design of periodic output feedback and fast output sampling based controllers for systems with slow and fast modes. Asian J. Control 14(1), 271–277 (2012)
Werner, H.: Robust multivariable control of a turbo-generator by periodic output feedback. Proc. Am. Control Conf. 3, 1979–1983 (1997)
Werner, H., Furuta, K.: Simultaneous stabilization based on output measurement. Kybernetica 31, 395–414 (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Munje, R., Patre, B., Tiwari, A. (2018). Periodic Output Feedback. In: Investigation of Spatial Control Strategies with Application to Advanced Heavy Water Reactor. Energy Systems in Electrical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-3014-7_7
Download citation
DOI: https://doi.org/10.1007/978-981-10-3014-7_7
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3013-0
Online ISBN: 978-981-10-3014-7
eBook Packages: EnergyEnergy (R0)