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 $H_{2}$ and $H_{\infty }$ norms of the closed-loop system.

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

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

Implementation

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

External Links

A list of references documenting and validating the LMI.

• [1] - LMI in Control Systems Analysis, Design and Applications