Adaptive and robust controls of uncertain systems with nonlinear parameterization

    Authors

    Z. H. Qu

    Comments

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    Abbreviated Journal Title

    IEEE Trans. Autom. Control

    Keywords

    adaptive control; nonlinear parameterization; observer; robust control; uncertain systems; OUTPUT-FEEDBACK CONTROL; DYNAMICAL-SYSTEMS; STABILIZATION; Automation & Control Systems; Engineering, Electrical & Electronic

    Abstract

    Two classes of partially known systems are considered in this note; both of them have a fractional parameterization of the unknowns. The first class consists of nonlinear systems whose uncertainties are bounded by a function of fractional parameterization, and the second class compromises those systems whose unknown dynamics can directly, but nonlinearly, be parameterized. It is shown that adaptive robust control can be extended to accommodate nonlinearly parameterized bounding functions and that, with the aid of a robust auxiliary system, new adaptation laws and a simple adaptive control can be designed for the unknowns in the fractional parameterization. Practical stability (in terms of uniform boundedness and ultimate boundedness) is shown; global for adaptive robust control and semiglobal for the new adaptive control.

    Journal Title

    Ieee Transactions on Automatic Control

    Volume

    48

    Issue/Number

    10

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    1817

    Last Page

    1823

    WOS Identifier

    WOS:000185721400019

    ISSN

    0018-9286

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