Approximate methods for H-infinity output feedback control

Abstract

The problem of finding Hm - regulators in the linear output control problem is considered. Sufficient IT -control conditions for closed loop control law depending on the state vector are formulated. Two approaches for approximate synthesis of the output feedback control systems are proposed. The first is associated with finding a pseudo-solution of the linear model of measuring system as well as with its use in control, the second one - with the synthesis of a state observer generating an estimate of the state vector and its application in control. The step by step algorithm is presented. It is shown that both of suggested methods provide the desired quality of transient processes and asymptotic stability in the model example. The approximate methods could be applied in autopilot design problems for aircrafts and rotorcrafts.