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

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 431)

Introduction

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].

Keywords

Close Loop System State Feedback Controller Composite Control Block Diagonalization Composite Regulator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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