On the linearization of Volterra nonlinear systems using third-order inverses in the digital frequency-domain

2002 ◽  
Author(s):  
S.W. Nam ◽  
E.J. Powers
Keyword(s):  
Nonlinear Systems ◽  
Frequency Domain ◽  
Third Order ◽  
Digital Frequency

scholarly journals Fault Reconstruction Based on Sliding Mode Observer for Nonlinear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Jing He ◽  
Changfan Zhang
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode ◽  
Variable Structure ◽  
Unknown Input ◽  
Robot System ◽  
Third Order ◽  
Reconstruction Scheme ◽  
Fault Reconstruction ◽  
Single Link ◽  
Sliding Mode Variable Structure

This paper presents a precision fault reconstruction scheme for a class of nonlinear systems involving unknown input disturbances. First, using the coordinate transformation algorithm, the disturbances and faults of the system are fully decoupled. Therefore, it is possible to eliminate the influence of disturbances to the system, namely, better disturbances robustness. On this basis, the design of a sliding mode state observer makes the most genuine reconstruction realizable, instead of estimation of faults. Furthermore, with the equivalent principle of sliding mode variable structure, the precision reconstruction of arbitrary nonlinear faults is achieved. Finally, the applications of fault reconstruction in a third-order nonlinear theoretical model with disturbances and in a single-link robot system, respectively, have demonstrated the validity of the proposed scheme.

Fuzzy fault detection of conic-type nonlinear systems within the finite frequency domain

2020 ◽  
Vol 378 ◽  
pp. 125181
Author(s):  
Jiancheng Wang ◽  
Shuping He ◽  
Xiaoli Luan ◽  
Fei Liu
Keyword(s):  
Nonlinear Systems ◽  
Fault Detection ◽  
Frequency Domain ◽  
Finite Frequency
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