Sensitivity minimization with closed loop eigenvalues assignment

Develops a new procedure to minimize the L₂-norm of trajectory sensitivity functions α(t) and system input u(t) with prescribed closed-loop eigenvalues. Considering a linear time invariant system with multi-input, the parameter vectors in the state feedback matrix, proposed by Roppenecker for eigenvalues set, are used to derive necessary optimal conditions. An algorithm to achieve the minimal conditions is proposed. The advantages of the procedure is illustrated by one numerical example