Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique
This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of strict-feedback form, and the statistics information of noise is unknown due to practical limitation. With the ordinary input-...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/514504 |
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| Summary: | This paper investigates robust adaptive switching controller
design for Markovian jump nonlinear systems with unmodeled
dynamics and Wiener noise. The concerned system is of
strict-feedback form, and the statistics information of noise is
unknown due to practical limitation. With the ordinary
input-to-state stability (ISS) extended to jump case, stochastic
Lyapunov stability criterion is proposed. By using backstepping
technique and stochastic small-gain theorem, a switching
controller is designed such that stochastic stability is ensured.
Also system states will converge to an attractive region whose
radius can be made as small as possible with appropriate control
parameters chosen. A simulation example illustrates the validity
of this method. |
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| ISSN: | 1110-757X 1687-0042 |