Disturbance Observer Based Robust Control for Fractional Order Systems

2014 ◽  
pp. 171-179
Author(s):  
Bijnan Bandyopadhyay ◽  
Shyam Kamal
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Disturbance Observer ◽  
Fractional Order Systems

Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems

2018 ◽  
Vol 13 (7) ◽  
Author(s):  
Aldo Jonathan Muñoz-Vázquez ◽  
Vicente Parra-Vega ◽  
Anand Sánchez-Orta
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Finite Time ◽  
Disturbance Observer ◽  
Continuous Control ◽  
Fractional Order Systems ◽  
Sliding Modes ◽  
Nonlinear Disturbance Observer ◽  
Nonlinear Disturbance ◽  
Dynamic Observer

The robust control for a class of disturbed fractional-order systems is presented in this paper. The proposed controller considers a dynamic observer to exactly compensate for matched disturbances in finite time, and a procedure to compensate for unmatched disturbances is then derived. The proposed disturbance observer is built upon continuous fractional sliding modes, producing a fractional-order reaching phase, leading to a continuous control signal, yet able to reject for some continuous but not necessarily differentiable disturbances. Numerical simulations and comparisons are presented to highlight the reliability of the proposed scheme.

scholarly journals Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yiheng Wei ◽  
Hamid Reza Karimi ◽  
Jinwen Pan ◽  
Qing Gao ◽  
Yong Wang
Keyword(s):  
Time Series ◽  
Series Expansion ◽  
Fractional Order ◽  
Disturbance Observer ◽  
Higher Order ◽  
Transient Dynamics ◽  
Fractional Order Systems ◽  
Weighted Function ◽  
Numerical Examples ◽  
The Stability

This paper is concerned with the problem of designing disturbance observer for fractional order systems, of which the disturbance is in time series expansion. The stability of a special observer with the selected nonlinear weighted function and transient dynamics function is rigorously analyzed for slowly varying disturbance. In addition, the result is also extended to estimate slope forms disturbance and higher order disturbance of fractional order systems. The efficacy of the proposed method is validated through numerical examples.

Adaptive robust control of fractional-order systems with matched and mismatched disturbances

2019 ◽  
Vol 162 ◽  
pp. 85-96 ◽  
Author(s):  
Aldo Jonathan Muñoz-Vázquez ◽  
Manuel Benjamín Ortiz-Moctezuma ◽  
Anand Sánchez-Orta ◽  
Vicente Parra-Vega
Keyword(s):  
Robust Control ◽  
Fractional Order ◽  
Adaptive Robust Control ◽  
Fractional Order Systems ◽  
Mismatched Disturbances
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