Robust H-infinity control via a stable decentralized nonlinear output feedback controller

    Authors

    H. G. Harno;I. R. Petersen

    Comments

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    Abbreviated Journal Title

    Int. J. Robust Nonlinear Control

    Keywords

    robust H control; stable decentralized control; nonlinear uncertain; systems; integral quadratic constraint; global Lipschitz condition; LARGE-SCALE SYSTEMS; INTERCONNECTED SYSTEMS; DISTURBANCE ATTENUATION; UNCERTAIN SYSTEM; STABILIZATION; DESIGN; Automation & Control Systems; Engineering, Electrical & Electronic; Mathematics, Applied

    Abstract

    This paper presents a new method to construct a decentralized nonlinear robust H controller for a class of large-scale nonlinear uncertain systems. The admissible uncertainties and nonlinearities in the system satisfy integral quadratic constraints and global Lipschitz conditions, respectively. The decentralized controller, which is required to be stable, is capable of exploiting known nonlinearities and interconnections between subsystems without treating them as uncertainties. Instead, additional uncertainties are introduced because of the discrepancies between nondecentralized and decentralized nonlinear output feedback controllers. The H control objective is to achieve an absolutely stable closed-loop system with a specified disturbance attenuation level. A solution to this control problem involves stabilizing solutions to algebraic Riccati equations parametrized by scaling constants corresponding to the uncertainties and nonlinearities. This formulation is nonconvex; hence, an evolutionary optimization method is applied to solve the control problem considered. Copyright (c) 2012 John Wiley & Sons, Ltd.

    Journal Title

    International Journal of Robust and Nonlinear Control

    Volume

    24

    Issue/Number

    2

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    191

    Last Page

    213

    WOS Identifier

    WOS:000328651200001

    ISSN

    1049-8923

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