Synthesis of State-Estimate Feedback Controllers with Very Low L₂-Sensitivity Using Orthonormal Ladder Filter Structures

Abstract

For a continuous-time linear system, a measure for evaluating the L₂-sensitivity of a closed-loop transfer function with respect to the coefficients of a state-estimate feedback controller is presented by using a pure L₂ norm and taking into account 0, ±1 coefficients. A technique is then developed for synthesizing a state-estimate feedback controller in orthonornal ladder filter structure with several 0 coefficients. Finally, through a numerical example it is shown that the state-estimate feedback controller realized in orthonornal ladder filter structure has very low L₂-sensitivity.