Optimal Synthesis of State-Estimate Feedback Controllers with Minimum l2-Sensitivity and No Overflow Oscillations

This paper investigates the problem of synthesizing the optimal structure of a state-estimate feedback controller with minimum l₂-sensitivity and no overflow oscillations. First, the l₂-sensitivity of a closed-loop transfer function with respect to coefficients of a state-estimate feedback controller is analyzed. Next, an iterative algorithm for obtaining the coordinate transformation matrix which constructs the optimal structure of a state-estimate feedback controller is developed so as to minimize an l₂-sensitivity measure subject to l₂-scaling constraints. Finally, a numerical example is presented to illustrate the utility of the proposed technique.