Analysis of SDC matrices for successfully implementing the SDRE scheme

Yew Wen Liang, Li Gang Lin

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

The state-dependent Riccati equation (SDRE) approach for stabilization of nonlinear affine systems was recently reported to be effective in many practical applications; however, there is no guideline on the construction of state-dependent coefficient (SDC) matrix when the SDRE solvability condition is violated, which may result in the SDRE scheme being terminated. In this study, we present several easy checking conditions so that the SDRE scheme can be successfully implemented. Additionally, when the presented checking conditions are satisfied, the sets of all feasible SDC matrices and their structures are explicitly depicted for the planar system.

Original languageEnglish
Pages (from-to)3120-3124
Number of pages5
JournalAutomatica
Volume49
Issue number10
DOIs
StatePublished - Oct 2013

Keywords

  • Nonlinear control system
  • Stability
  • State-dependent coefficient matrix
  • State-dependent Riccati equation

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