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Nonlinear gain scheduled controller for a sphere liquid tank

Result description

In this paper, we develop a gain-scheduled controller for a nonlinear plant of the sphere liquid tank. The proposed strategy is based on linearization of the nonlinear state equation around selected operating points. This methodology allows to apply anylinear control design method. In particular, we discuss a polynomial method to achieve desired stability and performance requirements. Following this idea, both 1DOF and 2DOF control configurations are considered. The linear design methods are applied ateach operating point in order to arrive at a set of linear control laws. Additionally, the parameters of the resulting family of linear controllers are scheduled as functions of reference variable, resulting in a single controller. Nonlocal performanceof gain scheduled controller for the nonlinear model is checked by mathematical simulation.

Keywords

Sphere liquid tankScheduling variablePolynomial methodParametrized linear modelNonlinear modelGain scheduled controllerContinuous-time model

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Nonlinear gain scheduled controller for a sphere liquid tank

  • Original language description

    In this paper, we develop a gain-scheduled controller for a nonlinear plant of the sphere liquid tank. The proposed strategy is based on linearization of the nonlinear state equation around selected operating points. This methodology allows to apply anylinear control design method. In particular, we discuss a polynomial method to achieve desired stability and performance requirements. Following this idea, both 1DOF and 2DOF control configurations are considered. The linear design methods are applied ateach operating point in order to arrive at a set of linear control laws. Additionally, the parameters of the resulting family of linear controllers are scheduled as functions of reference variable, resulting in a single controller. Nonlocal performanceof gain scheduled controller for the nonlinear model is checked by mathematical simulation.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings - 29th European Conference on Modelling and Simulation, ECMS 2015

  • ISBN

    978-0-9932440-0-1

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    327-332

  • Publisher name

    ECMS - European Council for Modelling and Simulation

  • Place of publication

    Albena (Varna)

  • Event location

    Albena (Varna)

  • Event date

    May 26, 2015

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

CEP

BC - Theory and management systems

Year of implementation

2015