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Quasi Singularly Perturbed and Weakly Coupled Linear Control Systems

  • Zoran Gajić
  • Xuemin Shen
Chapter
Part of the Communications and Control Engineering Series book series (CCE)

Abstract

Several structures of the linear-quadratic control problems containing small parameters can be studied efficiently by using the methodology similar to the one presented in the previous chapters. We call these structures quasi singularly perturbed and quasi weakly coupled (quasi SP&WC systems). Namely, the quasi singularly perturbed and quasi weakly coupled linear-quadratic control problems are very closely related to the standard singularly perturbed and weakly coupled control problems. However, these similarities are not obvious, and very often, in many applications, the quasi singularly perturbed and quasi weakly coupled structures are producing the parallel reduced-order algorithms of the simpler structures and under milder conditions than the standard singularly perturbed and standard weakly coupled linear-quadratic control problems.

Keywords

Distillation Column Linear Dynamical System Algebraic Riccati Equation Synchronous Generator Linear Control System 
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 London Limited 1993

Authors and Affiliations

  • Zoran Gajić
    • 1
  • Xuemin Shen
    • 2
  1. 1.Department of Electrical and Computer EngineeringRutgers UniversityUSA
  2. 2.Department of Electrical EngineeringUniversity of AlbertaEdmontonCanada

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