On the robust disturbance rejection of Linear Parameter Vvarying uncertain systems

Abstract

The problem of robust disturbance rejection is studied for the case of linear parameter varying (LPV) uncertain systems. The problem is solved using a proportional time varying state feedback controller of particular type being independent from the uncertainties. Sufficient, solvability conditions for the problem of robust disturbance rejection of the LPV uncertain system, are established. Under, these conditions a class of time varying proportional state feedback controllers solving the problem is analytically determined. The approach is based on the derivation of a controller as well as the necessary and sufficient conditions for the reduction of a LPV uncertain system to a linear time invariant (LTI) uncertain system using independent from the uncertainties proportional time varying state feedback. The present results are successfully applied to a two mass translation system example.