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In virtue of the modified bounded real lemma (BRL), multi-objective control synthesis based on parametric eigenstructure assignment in linear systems is considered. By applying the degrees of design freedom provided by eigenstructure assignment in linear systems, a state feedback controller is designed such that the closed-loop system satisfies H∞-norm bound constraints on disturbance attenuation and pole constraints. The proposed design method is formulated in terms of linear matrix inequality (LMI) which can be easily solved by the MATLAB LMI toolbox. An example demonstrates the effect of the proposed design approach.