Analytical representation of the state-dependent coefficients in the SDRE/SDDRE scheme for multivariable systems

Li Gang Lin, Joos Vandewalle, Yew-Wen Liang

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24 Scopus citations

Abstract

Abstract Recently, the easy-to-implement state-dependent Riccati equation (SDRE) strategy has been shown effective for numerous practical applications. Since being similar to SDRE, the newly emerged state-dependent differential Riccati equation (SDDRE) approach shares most of the benefits of SDRE, and exhibits interesting potential from both the analytical and practical viewpoints. By generalizing previous works to the general-order nonlinear time-variant systems, we try to resolve several problems related to the design flexibility (the infinitely many candidates of the state-dependent coefficient matrix), since they appear at the beginning of the implementation of both schemes. Finally, we demonstrate the proposed scheme via examples.

Original languageEnglish
Article number6433
Pages (from-to)106-111
Number of pages6
JournalAutomatica
Volume59
DOIs
StatePublished - 1 Sep 2015

Keywords

  • Application of nonlinear analysis and design
  • Nonlinear control system
  • State-dependent (differential) Riccati equation
  • State-dependent coefficient matrix

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