A Three-Time-Scale Approach for Design of Linear State Regulator for Spatial Control of Advanced Heavy Water Reactor

作者: Sreyas Rajagopal Shimjith , Akhilanand Pati Tiwari , Bijnan Bandyopadhyay , None

DOI: 10.1109/TNS.2011.2114674

关键词: Advanced heavy-water reactorSingular perturbationScale (ratio)Control theoryDecomposition (computer science)Optimal controlInductorEngineeringState (functional analysis)Quadratic equationNuclear and High Energy PhysicsElectrical and Electronic EngineeringNuclear Energy and Engineering

摘要: This paper introduces a technique for simultaneous decomposition of non-autonomous singularly perturbed system into three subsystems namely “slow”, “fast 1” and 2” respectively. Design composite controller in terms the individual subsystem controllers is derived optimal control problem original high order smaller problems, with separate quadratic performance indexes extracted from index system, discussed.

参考文章(25)
Desineni S Naidu, Singular perturbations and time scales in control theory and applications: An overview Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm. ,vol. 9, pp. 233- 278 ,(2002)
K.W. Chang, Diagonalization method for a vector boundary problem of singular perturbation type Journal of Mathematical Analysis and Applications. ,vol. 48, pp. 652- 665 ,(1974) , 10.1016/0022-247X(74)90138-3
Vladimir Gaitsgory, Minh-Tuan Nguyen, Averaging of three time scale singularly perturbed control systems Systems & Control Letters. ,vol. 42, pp. 395- 403 ,(2001) , 10.1016/S0167-6911(00)00111-0
G. Datatreya Reddy, Y. Park, B. Bandyopadhyay, A.P. Tiwari, Technical communique: Discrete-time output feedback sliding mode control for spatial control of a large PHWR Automatica. ,vol. 45, pp. 2159- 2163 ,(2009) , 10.1016/J.AUTOMATICA.2009.05.003
V.R. Saksena, J. O'Reilly, P.V. Kokotovic, Singular perturbations and time-scale methods in control theory: Survey 1976-1983 Automatica. ,vol. 20, pp. 273- 293 ,(1984) , 10.1016/0005-1098(84)90044-X
B. Litkouhi, H. Khalil, Multirate and composite control of two-time-scale discrete-time systems IEEE Transactions on Automatic Control. ,vol. 30, pp. 645- 651 ,(1985) , 10.1109/TAC.1985.1104024
SR Shimjith, AP Tiwari, M Naskar, B Bandyopadhyay, None, Space–time kinetics modeling of Advanced Heavy Water Reactor for control studies Annals of Nuclear Energy. ,vol. 37, pp. 310- 324 ,(2010) , 10.1016/J.ANUCENE.2009.12.011