# LMIs in Control/pages/LMI for Mixed H2 Hinf Output Feedback Control

LMIs in Control/pages/LMI for Mixed H2 Hinf Output Feedback Control

## The System

The objective is to minimize the combined ${\displaystyle H_{2}}$  and ${\displaystyle H_{\infty }}$  norms of the closed-loop system.

## The LMI: LMI for mixed ${\displaystyle H_{2}/H_{\infty }}$

{\displaystyle {\begin{aligned}{\text{min}}\;\quad t:&\\||S(P,K)||_{H_{2}}^{2}+||S(P,K)||_{H_{\infty }}^{2}\end{aligned}}}

## Implementation

A link to Matlab codes for this problem in the Github repository: