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ALIYU M. D. S.; BOUKAS E. K. 《IMA Journal of Mathematical Control and Information》2000,17(3):295-308
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. 相似文献
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ALIYU M. D. S.; BOUKAS E. K. 《IMA Journal of Mathematical Control and Information》2000,17(3):265-279
In this paper, the problem of disturbance attenuation with internalstability for nonlinear systems with Markovian jumping parametersis considered. It is shown that this problem is solvable ifthere exists a sequence of smooth-positive semidefinite functionssatisfying certain Hamilton-Jacobi-Isaac equations (inequalities).Furthermore, it is shown that, if this solution exists, it representsa stochastic Lyapunov function for the closed-loop nonlinearsystem. A parametrization of the family of full-informationstate-feedback controllers satisfying the disturbance-attenuationrequirement with stochastic stability for the closed-loop systemis also given. 相似文献
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