Reliable H∞ controller design for singularly perturbed systems with sensor failure

This paper studies the reliable H_∞ control for linear time-invariant singularly perturbed systems against sensor failures. By time-scale decomposition, the full-order system is decomposed into slow and fast subsystems. After designing a reliable H_∞ controller for the global system, two reduced reliable H_∞ sub-controllers based on the slow and fast problems are obtained through the manipulation of the algebraic Riccati equations. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H_∞ performance when all control components are operational as well as when sensor failures occur.