Robust Satisfactory Fault-Tolerant Controller Design with Closed-Loop Poles and Variance Constraints

Based on satisfactory control strategy, a design method of robust satisfactory fault-tolerant controller is investigated for a class of uncertain linear discrete-time systems under sensor faults condition. The state-feedback gain matrix is calculated by linear matrix inequality approach. The designed controller guarantees that the closed-loop system meets the pre-specified consistent constraints on regional pole index and steady state-variance index simultaneously for normal case and admissible sensor faults case. The consistency of the indices is also discussed. Furthermore, with constraints on the mentioned indices, a solution is obtained to the robust satisfactory fault-tolerant controller with minimum control-cost by convex optimal technique.