Fault diagnosis based on adaptive observer for a class of non-linear systems with unknown parameters

2004 ◽  
Vol 77 (4) ◽  
pp. 367-383 ◽  
Author(s):  
Bin Jiang ◽  
Marcel Staroswiecki ◽  
Vincent Cocquempot
Keyword(s):  
Fault Diagnosis ◽  
Linear Systems ◽  
Adaptive Observer ◽  
Unknown Parameters ◽  
Non Linear ◽  
Non Linear Systems

Linearization techniques in fault diagnosis of non-linear systems

2000 ◽  
Vol 214 (4) ◽  
pp. 241-245 ◽  
Author(s):  
W Lin ◽  
H Wang
Keyword(s):  
Fault Diagnosis ◽  
Linear Systems ◽  
Exponential Convergence ◽  
Adaptive Observer ◽  
Observation Error ◽  
Actuator Failures ◽  
First Approximation ◽  
Non Linear ◽  
Non Linear Systems ◽  
Linearization Techniques

In this paper it is shown how the well-known linearization technique can be used to solve the problem of fault diagnosis, for non-linear systems subject to actuator failures. An exponential adaptive observer is designed on the basis of the first approximation approach, achieving locally exponential convergence of observation error as well as unbiased fault diagnosis. A link between linear fault diagnosis and its non-linear counterpart is explored. The effectiveness of the proposed non-linear fault diagnosis scheme is illustrated through a simulation example.

Adaptive control of a class of non-linear systems preceded by backlash-like hysteresis

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
JIANPING CAI ◽  
LUJUAN SHEN ◽  
FUZHEN WU
Keyword(s):  
Differential Equation ◽  
Adaptive Control ◽  
Linear Systems ◽  
Tracking Error ◽  
Robust Adaptive Control ◽  
Unknown Parameters ◽  
Control Scheme ◽  
Non Linear ◽  
Non Linear Systems ◽  
Robust Adaptive

We consider a class of uncertain non-linear systems preceded by unknown backlash-like hysteresis, which is modelled by a differential equation. We propose a new state feedback robust adaptive control scheme using a backstepping technique and properties of the differential equation. In this control scheme, we construct a new continuous function to design an estimator to estimate the unknown constant parameters and the unknown bound of a ‘disturbance-like’ term. The transient performance of the output tracking error can be guaranteed by the introduction of pre-estimates of the unknown parameters in our controller together with update laws. We do not require bounds on the ‘disturbance-like’ term or unknown system parameters in this scheme. The global stability of the closed-loop system can be proved.

scholarly journals Robust Fault Diagnosis of Non-linear Systems using Constraints Satisfaction

2009 ◽  
Vol 42 (8) ◽  
pp. 1138-1143 ◽  
Author(s):  
Vicenç Puig ◽  
Teresa Escobet ◽  
Carlos Ocampo-Martinez ◽  
Sebastián Tornil-Sin
Keyword(s):  
Fault Diagnosis ◽  
Linear Systems ◽  
Non Linear ◽  
Non Linear Systems ◽  
Constraints Satisfaction
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