Evaluation and design of actuator fault diagnosability for nonlinear affine uncertain systems with unknown indeterminate inputs

Abstract

In this paper, the evaluation and design scheme of fault diagnosability are investigated by differential geometry theories for a class of nonlinear affine uncertain systems with unknown indeterminate inputs. Considering two coupling relationships of outputs with uncertainties and faults, the sufficient and necessary conditions of fault detectability and isolability are established. For the problem that uncertainties influence the system outputs and make the faults undetectable, a design scheme of fault diagnosability is proposed. For nonlinear affine uncertain systems, a relatively complete theoretical system of the evaluation and design of fault diagnosability comes into being. An illustrative example is given to demonstrate the effectiveness of the proposed evaluation and design scheme of fault diagnosability. EVALUATION AND DESIGN OF ACTUATOR FAULT DIAGNOSABILITY 123 detection of the fault can be realized by using the information of system inputs and outputs as well. Fault isolability in [5] was defined as that for a given set of different faults, the system has a different performance ability.

Adaptive finite‐time control for high‐order nonlinear systems with mismatched disturbances

“…Practical systems always contain nonlinearities, which are combined with other aspects of control technologies, such as fault detection, fuzzy control, networked system, and event‐triggered technique . In recent years, high‐order nonlinear systems have been paid intensive attention due to their widespread applications and cross‐disciplinary nature . In particular, many methods have been proposed for stabilization problems of high‐order nonlinear systems, such as control, sliding mode control, and other methods .…”