Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties
This paper studies the problem of robust gain-scheduled H8 controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of s...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Conference Paper |
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2013
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| Online Access: | http://hdl.handle.net/20.500.11937/32215 |
| _version_ | 1848753599915491328 |
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| author | Liu, Y. Yin, Y. Liu, F. Shi, P. Teo, Kok Lay (ah Nge) |
| author2 | a |
| author_facet | a Liu, Y. Yin, Y. Liu, F. Shi, P. Teo, Kok Lay (ah Nge) |
| author_sort | Liu, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the problem of robust gain-scheduled H8 controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of such systems is linearized by means of gradient linearization procedure, and stochastic linear models are constructed in the vicinity of selected operating states, the time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance index is satisfied. Finally, continuous gain-scheduled approach is employed to design continuous time-varying controller on the entire nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques |
| first_indexed | 2025-11-14T08:27:05Z |
| format | Conference Paper |
| id | curtin-20.500.11937-32215 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:27:05Z |
| publishDate | 2013 |
| publisher | a |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-322152017-09-13T15:17:10Z Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties Liu, Y. Yin, Y. Liu, F. Shi, P. Teo, Kok Lay (ah Nge) a Sufficient conditions Parameter uncertainty Time-varying controllers Linearization procedures Time-varying transition Nonlinear markov jump systems Non-linear stochastic systems Lyapunov function approaches This paper studies the problem of robust gain-scheduled H8 controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of such systems is linearized by means of gradient linearization procedure, and stochastic linear models are constructed in the vicinity of selected operating states, the time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance index is satisfied. Finally, continuous gain-scheduled approach is employed to design continuous time-varying controller on the entire nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques 2013 Conference Paper http://hdl.handle.net/20.500.11937/32215 10.1109/ICIEA.2013.6566613 a restricted |
| spellingShingle | Sufficient conditions Parameter uncertainty Time-varying controllers Linearization procedures Time-varying transition Nonlinear markov jump systems Non-linear stochastic systems Lyapunov function approaches Liu, Y. Yin, Y. Liu, F. Shi, P. Teo, Kok Lay (ah Nge) Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title | Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title_full | Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title_fullStr | Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title_full_unstemmed | Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title_short | Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties |
| title_sort | gain scheduled h-infinity control for nonlinear stochastic systems with mixed uncertainties |
| topic | Sufficient conditions Parameter uncertainty Time-varying controllers Linearization procedures Time-varying transition Nonlinear markov jump systems Non-linear stochastic systems Lyapunov function approaches |
| url | http://hdl.handle.net/20.500.11937/32215 |