Optimal synthesis of state-estimate feedback analog controllers with minimum L2-sensitivity

An L₂-sensitivity measure for the closed-loop system containing a state-estimate feedback analog controller is presented in closed form to evaluate the sensitivity of a closed-loop transfer function with respect to the state-estimate feedback controller´s coefficients. This is accomplished by using a pure L₂-norm. An iterative procedure is also developed for constructing state-estimate feedback controller´s structures with minimum L₂-sensitivity. Finally, a numerical example is given to illustrate the utility of the proposed technique.