Robust Finite-Time H∞ Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities
This paper is concerned with the problem of robust finite-time H∞ control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-tim...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/938781 |
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| Summary: | This paper is concerned with the problem of robust finite-time H∞ control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-time boundedness, H∞ finite-time boundedness, and finite-time H∞ state feedback stabilization, respectively. Then, a robust finite-time H∞ state feedback controller is designed, which, for all admissible uncertainties, guarantees the H∞ finite-time boundedness of the corresponding closed-loop system. All the conditions are presented in terms of strict linear matrix inequalities. Finally a numerical example is provided to demonstrate the effectiveness of all the results. |
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| ISSN: | 1085-3375 1687-0409 |