Stabilization of Linear Metzlerian Systems with Connection to LQ Problem

摘要

The linear matrix inequality approach is proposed to linear Metzlerian systems control design, mounting linear quadratic constraints into design conditions. Coupling together the set of linear matrix inequalities warranting a strictly Metzle-rian structure, and the additional inequality guaranteing asymptotic stability of the controlled system, the design conditions are outlined to construct the closed-loop Metzlerian scheme with a positive control law gain. Novelty is made in constructing an LMI structure to realize the diagonal stabilizability of strictly Metz-lerian linear continuous-time systems. The proposed approach is numerically illustrated.