Interposed H2/H∞ Design Conditions for Control of Linear Discrete-Time Systems

The paper offers mingling conditions for the interposed H
₂
/H
_∞
control design for linear discrete-time systems. The goal is to design the feedback control which guarantees bounded H
₂
performance index and H
_∞
norm attenuation. Analyzing criteria observances given on a joined H
₂
/H
_∞
control law, the task is formulated as a feasible problem subject to convex constraints expressed by a system of linear matrix inequalities. The effectiveness and pertinence of the interposed control strategy are demonstrated by results of a numerical example.