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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3172

Title: Robust H∞ control of stochastic time-delay jumping systems with nonlinear disturbances
Authors: Wei, G
Wang, Z
Shu, H
Fang, J
Keywords: H∞ control
stochastic systems
uncertain systems
Markovian jumping systems
nonlinear disturbance
inear matrix inequality
time delays
Publication Date: 2006
Publisher: Wiley
Citation: Optimal Control Applications and Methods. 27 (5) 255 - 271
Abstract: This paper deals with the problems of robust stabilization and H∞ ontrol for a class of uncertain stochastic jumping systems with nonlinear disturbances and time delays. The uncertain parameters are assumed to be norm bounded and mode dependent, and the time delays enter into the state matrix, the stochastic perturbation term, as well as the state feedback. The stochastic robust stabilization problem addressed in this paper is to design a state feedback controller with input delay such that, for all admissible uncertainties and the nonlinear disturbances, the closed-loop system is robustly, stochastically, exponentially stable in the mean square. Moreover, the purpose of the robust H∞ control problem is to guarantee a specified H∞ performance index, while still achieving the mean-square exponential stability requirement for the closed-loop system. By resorting to the Itô's differential formula and the Lyapunov stability theory, sufficient conditions are derived, respectively, for the robust stabilization and the robust H∞ control problems. It is shown that the addressed problems can be solved if a set of linear matrix inequalities (LMIs) are feasible. A numerical example is employed to illustrate the usefulness of the proposed LMI-based design methods.
URI: http://bura.brunel.ac.uk/handle/2438/3172
ISSN: 0143-2087
Appears in Collections:School of Information Systems, Computing and Mathematics Research Papers
Computer Science

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