Actuator faults and the linear quadratic control problem

Abstract

Linear quadratic (LQ) problems are very popular for control design. In this paper, the LQ problem is analyzed with respect to the possible occurrence of actuator faults. It is shown that fault tolerance can only be defined when admissible (instead of optimal) solutions are considered. Conditions for a fault to be possibly tolerated are given both for the fault accommodation and for the system reconfiguration strategies.