H8 scheduling control on nonlinear stochastic systems with partially unknown information

In this paper, we propose a method for designing continuous gain-scheduled H1 controller for a class of stochastic nonlinear systems with unknown information. The stochastic nonlinear system under study is governed by a finite-state Markov process, but with partially known jump rate from one mode to...

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Main Authors: Liu, Y., Yin, YanYan, Liu, F.
Format: Journal Article
Published: ICIC International 2014
Online Access:http://hdl.handle.net/20.500.11937/52628
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author Liu, Y.
Yin, YanYan
Liu, F.
author_facet Liu, Y.
Yin, YanYan
Liu, F.
author_sort Liu, Y.
building Curtin Institutional Repository
collection Online Access
description In this paper, we propose a method for designing continuous gain-scheduled H1 controller for a class of stochastic nonlinear systems with unknown information. The stochastic nonlinear system under study is governed by a finite-state Markov process, but with partially known jump rate from one mode to another. Initially, gradient linearization procedure is applied to describe such nonlinear systems by several model-based linear systems. Next, H8 controllers are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear controllers for the whole nonlinear jump system. A numerical example is given to illustrate the effectiveness of the developed techniques. © ICIC International 2014.
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institution Curtin University Malaysia
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last_indexed 2025-11-14T09:52:30Z
publishDate 2014
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spelling curtin-20.500.11937-526282023-08-02T06:39:09Z H8 scheduling control on nonlinear stochastic systems with partially unknown information Liu, Y. Yin, YanYan Liu, F. In this paper, we propose a method for designing continuous gain-scheduled H1 controller for a class of stochastic nonlinear systems with unknown information. The stochastic nonlinear system under study is governed by a finite-state Markov process, but with partially known jump rate from one mode to another. Initially, gradient linearization procedure is applied to describe such nonlinear systems by several model-based linear systems. Next, H8 controllers are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear controllers for the whole nonlinear jump system. A numerical example is given to illustrate the effectiveness of the developed techniques. © ICIC International 2014. 2014 Journal Article http://hdl.handle.net/20.500.11937/52628 ICIC International restricted
spellingShingle Liu, Y.
Yin, YanYan
Liu, F.
H8 scheduling control on nonlinear stochastic systems with partially unknown information
title H8 scheduling control on nonlinear stochastic systems with partially unknown information
title_full H8 scheduling control on nonlinear stochastic systems with partially unknown information
title_fullStr H8 scheduling control on nonlinear stochastic systems with partially unknown information
title_full_unstemmed H8 scheduling control on nonlinear stochastic systems with partially unknown information
title_short H8 scheduling control on nonlinear stochastic systems with partially unknown information
title_sort h8 scheduling control on nonlinear stochastic systems with partially unknown information
url http://hdl.handle.net/20.500.11937/52628