Application of LMI method for optimization of sensors system for control of nonstationary elastic vehicle

The statement of problem of optimization of sensors system in the control system of the elastic aerospace vehicle under condition of the stochastic system control design on the base of quadratic performance index is considered. Magnitudes of time-average values of quadratic performance indexes and maximum feasible values of dispersion of estimation of state vector are considered as linear matrix-inequalities-restrictions in the sensor system optimization problem on the base of minimization of offered goal function related with the number, type and accuracy of sensors. The uniqueness of the solution and high performance of the suggested method are typical for the convex programming problems.