Title
Finite-time disturbance observer via continuous fractional sliding modes
Abstract
Recently, a great deal of effort has been devoted to the design of robust control techniques that compensate for lumped disturbances in mechanical robots and general electromechanical systems through disturbance observers. In this paper, assuming the Hamiltonian structure of Euler-Lagrange systems subject to a wider class of disturbances, and by exploiting some essential properties of fractional-order integro-differential operators, such as heritage and memory, a disturbance observer that is theoretically exact is proposed based on continuous fractional sliding modes, where exactness is understood in the sense of equality, in contrast to simple equivalence. The novelty of the proposal arises from the fact that the continuous fractional sliding-mode disturbance observer is exact, assuring finite-time disturbance estimation, in contrast with a classical integer-order sliding motion that is equivalent. Consequently, there arises a disturbance observer in finite time, including exact observation of continuous but not necessarily differentiable Holder disturbances, as well as a clear compromise between regularity and robustness, which stands for a quite important issue overlooked in the conventional integer-order case. Representative simulations are discussed to highlight the reliability of the proposed method.
Year
DOI
Venue
2018
10.1177/0142331217737833
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Mechanical robotic systems,continuous fractional sliding modes,disturbance observer,Holder continuous functions,robust control of nonlinear systems
Journal
40.0
Issue
ISSN
Citations 
14
0142-3312
3
PageRank 
References 
Authors
0.48
18
4
Name
Order
Citations
PageRank
A.-J. Munoz-Vazquez1429.97
Vicente Parra-Vega218033.57
Anand Sanchez-Orta3477.64
Gerardo Romero-Galván450.87