Fault estimation of one-sided Lipschitz and quasi-one-sided Lipschitz systems

This paper presents fault estimation scheme for one-sided Lipschitz and quasi-one-sided Lipschitz systems with disturbance. One-sided Lipschitz and quasi-one-sided Lipschitz systems are much more widely used nonlinear systems than the well-known Lipschitz systems. An combination between adaptive observer and sliding mode observer is developed, which avoids the restrictions of these two types of observer. The fault can be estimated here by adaptive observer while the sliding mode is utilized to compensate the effects of the disturbance. An example is given to illustrate the effectiveness of this fault construction approach.