Energy compensation-based approach for solving the HJI equation in the nonlinear H∞ synthesis

C. Han, J. Guo, A. Pechev

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

The H∞ framework provides an efficient and systemic method for the design of controllers for both linear and nonlinear systems. In the nonlinear controller synthesis, however, the limitation of this method is usually associated with the existence of a solution to the Hamilton–Jacobi–Isaac (HJI) equation. In this paper, an innovative energy compensation-based approach to the solution of the HJI equations is presented and compared with the existing methods relying on Taylor series expansion. This new approach provides an efficient methodology that ensures the existence of a solution to the HJI equation. Numerical application to spacecraft attitude control is presented to validate the developments.

Original languageEnglish
Pages (from-to)2608-2622
Number of pages15
JournalInternational Journal of Robust and Nonlinear Control
Volume26
Issue number12
DOIs
Publication statusPublished - 1 Aug 2016

Keywords

  • attitude control
  • generalized Riccati equations
  • HJI equation
  • H∞ control
  • nonlinear system
  • Taylor series

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