An LMI Approach to D-stable Robust Hinfin Fault Tolerant Control of Uncertain Systems

In this paper, the D-stabilizable robust H_infin fault tolerant control problem is formulated in an LMI (linear matrix inequality) setting, in which satisfactory performance and guaranteed stability robustness are introduced. The objective is to design a controller that stabilizes an uncertain system while satisfying an H_infin-norm bound constraint and closed-loop pole placement constraint in the normal condition as well as in the event of actuator failures. To achieve such aims, a multi-objective approach is used to establish a matrix inequality formulation for fault-tolerant control system design. The sufficient condition for the existence of the controller is presented, and furthermore, a parameterized characterization of the robust controllers is given in terms of the feasible solutions to the certain matrix inequalities. In addition, on the premise of guaranteeing the system integrity, the sufficient condition for the consistency of H_infin-norm specification with D-stabilizable specification is derived.