On virtual actuators for LPV systems under errors in the measurement of the varying parameter

This paper is concerned with linear parameter varying (LPV) fault tolerant control (FTC) systems reconfigured using virtual actuators. Most works dealing with FTC of LPV systems in general, and in particular using virtual actuators, assume perfect knowledge of the `varying parameter' of the LPV system description at all times. In this paper, for LPV systems with convex polytopic modelling description, we derive conditions for closed-loop stability of the overall virtual-actuator based FTC system when the varying parameter is not exactly known but measured with bounded errors.