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Existence Conditions of H Suboptimal Controllers

  • Ben M. Chen
Part of the Communications and Control Engineering book series (CCE)

Abstract

The first fundamental issue one faces in an H optimization problem, is when, or under what conditions a γ suboptimal controller exists. Fortunately, the problem regarding the existence conditions of γ-suboptimal controllers for either the regular or singular type of continuous-time or discrete-time systems has almost been completely solved in the literature. As it was mentioned in the introduction, there were four main different approaches developed in early years, which include: 1) Interpolation approach (see e.g., Limbeer and Anderson [77]); 2) Frequency domain approach (see e.g., Doyle [47], Francis [54] and Glover [57]); 3) Polynomial approach (see e.g., Kwakernaak [69]); and 4) J-spectral factorization approach (see e.g., Kimura [67]). All these techniques mainly deal with the regular problem.

Keywords

Riccati Equation Imaginary Axis Existence Condition Full Column Rank Algebraic Riccati Equation 
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 2000

Authors and Affiliations

  • Ben M. Chen
    • 1
  1. 1.Department of Electrical EngineeringNational University of SingaporeSingapore

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