A Mixed H_2/H_[infinite] Approach to Simultaneous Fault Detection and Control

In this technical report, the problem of Simultaneous Fault Detection and Control (SFDC) is considered. This problem is reduced to a multiobjective optimization problem. We show that there exists a fundamental separation theorem allowing us to seperate this multiobjective problem into a control problem and a fault detection problem. Moreover, the SFDC problem is modeled in terms of a mixed H_2/H_[infinite] optimization problem and a Riccati equation based solution leading to the design of controller/detector system of reasonable complexity is given. An application of our results is presented using the nonlinear Ball and Beam system