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

The LMI: LMI for mixed $H_2/H_{\mathrm{\infty }}$

$\begin{array}{cc}\text{min}t:& \\ ||S(P,K)|{|}_{H_2}^2+||S(P,K)|{|}_{H_{\mathrm{\infty }}}^2\end{array}$

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