High-order sliding mode observer for fractional commensurate linear systems with unknown input

Automatica ◽  
2017 ◽  
Vol 82 ◽  
pp. 209-217 ◽  
Author(s):  
Zehor Belkhatir ◽  
Taous Meriem Laleg-Kirati
Keyword(s):  
Linear Systems ◽  
Sliding Mode ◽  
High Order ◽  
Sliding Mode Observer ◽  
Unknown Input

Unknown Input and Disturbance Output Reconstruction for a Class of Linear Systems

2013 ◽  
Vol 340 ◽  
pp. 497-501
Author(s):  
Jun Qi Yang ◽  
Yan Tao Chen ◽  
Rui Wang
Keyword(s):  
Numerical Simulation ◽  
Linear Systems ◽  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Unknown Input ◽  
Reconstruction Method ◽  
Output Vector ◽  
First Order ◽  
Augmented System ◽  
System Output

This paper considers the problems of simultaneous unknown input and disturbance output reconstruction for linear systems. By introducing an augmented vector, an augmented system is constructed. Then, a robust sliding mode observer is proposed to not only estimate the states of the system but also reconstruct the disturbance output vector. A first-order robust exact differentiator which can be used to produce the estimates of the system output derivatives is considered. Based on the robust sliding mode observer and the estimates of the output derivatives, a kind of simultaneous unknown input and disturbance output reconstruction method is developed. Finally, a numerical simulation example is used to show the effectiveness of the proposed methods.

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