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Multisine input design for LTI systems by uniform design and its application to aerodynamic system

In this paper, the input design problem for general multi-input multi-output (MIMO) linear time invariant (LTI) systems is considered. We discuss the conditions for the identifiability of the parameters in the system such that basic design principles for the multisine input signal are given. Also, the relationship between the input signal and the cost function of Cramer Rao (C-R) bound is studied. To handle the nonconvexity and nonsmoothness in this input optimization problem, we propose the Uniform Design based multisine input design method. It is shown that through certain discrepancy measure, the global optimization in the coefficient set can be implemented. The proposed method is applied to the aerodynamic system under required constraints on the input signal as well as the output signal. The optimization results, the comparison with Genetic Algorithm and the corresponding identification results demonstrate the utility and validity of our input design method.