LMI-Based Design of Cascade Reconfiguration Control Structures

The paper considers the problem of control reconfiguration to retain fault tolerance in control of linear continuous-time systems with plant dynamics faults. Following the concept of reference model control, the main idea is to keep untouched the nominal control parameters, where in addition the nominal controller remains a part of the reconfigured control loop. The full state control tenet is applied for nominal control strategy and the static output control principle for the compensation control law specification in the so called cascade reconfiguration structure. Analyzing as a mixed control problem, new conditions for control structure parameter design are introduced and proven. The obtained results, offering the sufficient and necessary design conditions, are illustrated with a numerical example to note the effectiveness of the proposed approach.