Mixed Sensitivity H 4 Control for LTI Systems

A synthesis procedure for a H" Pre- compensator and a H" Dual Post-compensator is pro- posed. Linear Time Invariant (LTI) systems are con- sidered. Explicit formulas for the Stabilizing Pre- compensator and Dual Post-compensator are proposed. Su! cient stability conditions are given for the overall system. A LTI robust Pre-compensator and Dual Post- compensator are designed for the nominal plant solving the mixed sensitivity problem. The overall system is im- plemented by output feedback. A simulation example for aM IMO system is given. Keywords- Uncertainty, Disturbance Attenuation, Op- timization, Loop-Shaping, Mixed Sensitivity, Non- invertible Transformations, Duality