IEEE Transactions on Automatic Control, Vol.42, No.7, 988-992, 1997
Synthesis of Positive Real H-2 Controllers
This paper describes a synthesis procedure for strictly positive real observer-based controllers. In particular, we address the standard H-2-optimal control problem with the additional constraint on the strict positive realness of the controller. A suboptimal version of this problem is shown to be a convex optimization problem, and a linear matrix inequality-based solution is provided. One example illustrates the main results.