H-optimal observer-based controller design for nonlinear multivariable systems

Feng Hsiag Hsiao, Chin E. Lin, Ciann Dong Yang, Chia Yuang Chang

Research output: Contribution to journalArticlepeer-review


We propose a novel algorithm to synthesize an H-optimal observer-based controller for a nonlinear multivariable system. Based on the parametrization of the observer-based controller, a necessary and sufficient condition to achieve robust stability is developed. Moreover, the Nevanlinna-Pick interpolation theory is employed to test the solvability condition of the robust stabilization problem. Optimal robustness can be achieved via the technique of H-optimization. The exact solution of the model-matching problem induced by the stability criterion is solved by the method of noniterative computation of the H-norm.

Original languageEnglish
Pages (from-to)573-596
Number of pages24
JournalJournal of Mathematical Analysis and Applications
Issue number3
Publication statusPublished - 1996 Nov 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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