Multiparameter Singular Perturbation of Linear Optimal Regulators

  • S. Shimjith
  • A. Tiwari
  • B. Bandyopadhyay
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 431)


In a nuclear reactor, the fission of 235 U, on an average, is characterized by the release of two to three neutrons which fall under two categories namely prompt and delayed neutrons[24]. The former are released almost instantaneously whereas the latter are released after significant time delays subsequent to a fission. The time delays associated with delayed neutrons vary from a fraction of a second to about a minute. Moreover, phenomena due to fission products like xenon have even much larger time constants, of the order of several hours. Hence, a nuclear reactor system is essentially characterized by a multi-time-scale behavior. Likewise the AHWR also exhibits a three-time-scale behavior with eigenvalues falling in three distinct and widely separated clusters, as described in chapter 4.


Fast Subsystem Nodal Power Slow Subsystem Delayed Neutron Quadratic Performance Index 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Indian Institute of Technology Bombay Scientific Officer (F)Bhabha Atomic Research CentreMumbaiIndia
  2. 2.Scientific Officer(H+) and ProfessorBhabha Atomic Research CentreMumbaiIndia
  3. 3.IDP in Systems and Control Engg.Indian Institute of Technology BombayMumbaiIndia

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