Reliable output-feedback controller design for discrete-time linear systems: An iterative LMI approach

This paper studies the reliable output-feedback controller design for discrete-time linear systems based on the iterative linear matrix inequality (LMI) approach. The design goal is to find an internally stabilizing controller such that the nominal performance of a closed-loop transfer matrix is optimized (minimized). The designed controller also satisfies the reliability constraint (in terms of stability and performance) under the actuator/sensor faults condition. Both the reliable H-infinity and the mixed H-2/H-infinity control problems are considered. A numerical example is given to illustrate the new design methods and benefits.