Robust H{infty} control for Markovian jump nonlinear systems |
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| Authors: | ALIYU, M. D. S. BOUKAS, E. K. |
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| Affiliation: | 1Systems Engineering Department, King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia
2Mechanical Engineering Department, École Polytechnique de Montréal P.O. Box 6079, station ‘Center-ville’, Montréal, Québec, Canada H3C 3A7 |
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| Abstract: | This paper deals with the robust H control problem of uncertainnonlinear stochastic systems with Markovian jump parameters.We assume that the uncertainties are structured such that suitablebounding functions can be found. A robust controller is thendesigned that will guarantee disturbance attenuation and asymptoticstability for all admissible uncertainties and L2-bounded disturbances.The solution to the problem is characterized in terms of a setof smooth-positive semidefinite functions satisfying certainHamilton-Jacobi-Isaac (HJI) inequalities with some appropriatescaling functions. Both the case of matched and unmatched uncertaintiesare considered. |
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| Keywords: | nonlinear system Markov jump process dissipative system disturbance attenuation matching conditions. |
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