Observer design in convergent series for a class of nonlinear systems

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    This paper deals with convergence analysis for power series solutions to a partial differential equation for nonlinear observer design with linear observer error dynamics. This power series solution is used to design the gain matrix for a Luenberger-like observer for nonlinear systems. An explicit domain of convergence around the origin is identified, which is related to the relative sizes of high-order terms in the original nonlinear system with respect to the linearized model. The convergent conditions can provide a guideline for nonlinear observer design with a truncated series for the observer gain. © 2011 IEEE.
    Original languageEnglish
    Article number6097026
    Pages (from-to)1849-1854
    Number of pages5
    JournalIEEE Transactions on Automatic Control
    Issue number7
    Publication statusPublished - 2012


    • Convergence analysis
    • nonlinear systems
    • observer design
    • polynomial approximation


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