Direct Block Diagonalization and Composite Control of Three-Time-Scale Systems

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


Singular perturbation methods have successfully been used in control applications to deal with multi-time-scale systems, by which the system is decomposed into a ‘slow’ subsystem and one or more ‘boundary layer’ or ‘fast’ subsystems[56]. A system expressed in explicit singularly perturbed form generally has a small parameter ε appearing as a multiplier to the derivative of the ‘fast’ variables. Here, the system decomposition is achieved by setting ε =0 and solving for the ‘fast’ subsystem variables in terms of the ‘slow’ ones, and then substituting them in the ‘slow’ subsystem equations[58].


Close Loop System State Feedback Controller Composite Control Block Diagonalization Composite Regulator 
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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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