H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.

This paper presents a solution to H1 control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discretetime dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish asymptotic stability with an l2-norm bound of...

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Main Authors: Cao, S., Rees, N., Feng, G., Liu, W.
Format: Villanova Faculty Authorship
Language:English
Published: 1999
Online Access:http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176113
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spelling H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
Cao, S.
Rees, N.
Feng, G.
Liu, W.
This paper presents a solution to H1 control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discretetime dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish asymptotic stability with an l2-norm bound of the closed-loop system. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.
1999
Villanova Faculty Authorship
vudl:176113
International Journal of Systems Science 31(2), 2000, 229-241.
en
dc.title_txt_mv H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
dc.creator_txt_mv Cao, S.
Rees, N.
Feng, G.
Liu, W.
dc.description_txt_mv This paper presents a solution to H1 control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discretetime dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish asymptotic stability with an l2-norm bound of the closed-loop system. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.
dc.date_txt_mv 1999
dc.format_txt_mv Villanova Faculty Authorship
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dc.source_txt_mv International Journal of Systems Science 31(2), 2000, 229-241.
dc.language_txt_mv en
author Cao, S.
Rees, N.
Feng, G.
Liu, W.
spellingShingle Cao, S.
Rees, N.
Feng, G.
Liu, W.
H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
author_facet Cao, S.
Rees, N.
Feng, G.
Liu, W.
dc_source_str_mv International Journal of Systems Science 31(2), 2000, 229-241.
format Villanova Faculty Authorship
author_sort Cao, S.
dc_date_str 1999
dc_title_str H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
description This paper presents a solution to H1 control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discretetime dynamical fuzzy model. A suitable quadratic L yapunov function is used to establish asymptotic stability with an l2-norm bound of the closed-loop system. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.
title H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
title_full H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
title_fullStr H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
title_full_unstemmed H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
title_short H1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
title_sort h1 control of nonlinear discrete-time systems based on dynamical fuzzy models.
publishDate 1999
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language English
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