PID fault tolerant control with consistent pole and H∞ PERFORMACNE INDICES CONSTRAINT

This paper focus on the PID fault tolerant controller design method for linear discrete-time stochastic system with multi-performance indices constraint. The performance indices investigated in this paper including circular region index and robust H∞ performance index. Based on the convex optimal theory and LMI method, consistency analysis method between multi-performance indexes is deducted in detail. And the range of H∞ performance index, which is consistent with circular pole index been analyzed in detail. Furthermore, the effective PID fault tolerant controller design process with consistent poles and H∞ performance indices is illustrated by a simulation example.