Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities
This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization procedure is used to construct model-based linear stochastic systems in the...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/52470 |
| _version_ | 1848758934309961728 |
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| author | Yin, YanYan Shi, P. Liu, F. |
| author_facet | Yin, YanYan Shi, P. Liu, F. |
| author_sort | Yin, YanYan |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization procedure is used to construct model-based linear stochastic systems in the vicinity of selected operating states. Next, based on stochastic Lyapunov stabilization analysis, sufficient conditions for the existence of a PI tracking control are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear PI tracking controllers on the entire nonlinear jump system. Simulation example is given to illustrate the effectiveness of the developed design techniques. © 2011 The Franklin Institute © 2011 Published by Elsevier Ltd. on behalf of The Franklin Institute. |
| first_indexed | 2025-11-14T09:51:52Z |
| format | Journal Article |
| id | curtin-20.500.11937-52470 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:51:52Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-524702017-09-13T15:38:23Z Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities Yin, YanYan Shi, P. Liu, F. This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization procedure is used to construct model-based linear stochastic systems in the vicinity of selected operating states. Next, based on stochastic Lyapunov stabilization analysis, sufficient conditions for the existence of a PI tracking control are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear PI tracking controllers on the entire nonlinear jump system. Simulation example is given to illustrate the effectiveness of the developed design techniques. © 2011 The Franklin Institute © 2011 Published by Elsevier Ltd. on behalf of The Franklin Institute. 2011 Journal Article http://hdl.handle.net/20.500.11937/52470 10.1016/j.jfranklin.2011.01.011 Elsevier restricted |
| spellingShingle | Yin, YanYan Shi, P. Liu, F. Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title | Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title_full | Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title_fullStr | Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title_full_unstemmed | Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title_short | Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities |
| title_sort | gain-scheduled pi tracking control on stochastic nonlinear systems with partially known transition probabilities |
| url | http://hdl.handle.net/20.500.11937/52470 |