An Iterative LMI Method to Discrete-time Reliable State-feedback Controller Design with Mixed H_2/H_∞ Performance

摘要

This paper studies the reliable mixed H_2/H_∞ state- feedback control of discrete-time linear systems based on the iterative linear matrix inequality (ILMI) approach. The design goal is to find an internally stabilizing state-feedback controller such that the nominal mixed H_2/H_∞ performance measure of a closed-loop transfer matrix is optimized. The designed controller satisfies the H_∞ robust stability constraint and the reliability constraint (in terms of stability and performance) under actuator faults.