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Attitude control of satellite system with multiplicative noises

The attitude control problem of satellite system with multiplicative noise is researched and investigated in this paper. In order to time-varying parameters in the satellite system, the LPV system is employed for describing the uncertainties of the satellite system. And, the multiplicative noise is applied to represent the stochastic behaviors of the system. Thus, the uncertain satellite system with multiplicative noise is described by LPV stochastic system. The scheduled control scheme is applied for discussing the stabilization problem of the system. And, the Lyapunov function and Itô formula are used to derive the sufficient conditions for dealing with the stability analysis and controller synthesis of the system. Moreover, the conditions are converted into Linear Matrix Inequality (LMI) problems for applying optimal convex algorithm. Finally, the simulation results are provided to show that the attitude control problem of the satellite stochastic system can be stabilized. Also, the system driven by designed controller is asymptotically stable in the mean square.