Robust fault estimation for singularly perturbed systems with Lipschitz nonlinearity

摘要: Abstract In this paper, observer-based fault estimation problem is addressed for Lipschitz nonlinear singularly perturbed systems with respect to sensor faults. A robust scheme presented estimate faults whose derivative bounded. With method, the proposed estimator minimizes effect of uncertainty on error and maximizes stability bound system simultaneously. To be specific, a sufficient condition existence firstly derived in form LMIs. This enables terms prescribed H ∞ performance index. Then, largest best attenuation capacity are guaranteed by deriving modified multi-objective optimal algorithm. An armature-controlled DC motor example finally given illustrate effectiveness scheme.