Integral Sliding Modes with Nonlinear H∞-Control for Time-Varying Minimum-Phase Underactuated Systems with Unmatched Disturbances
Joint Authors
Miranda-Colorado, Roger
Chavez, Carlos
Aguilar, Luis T.
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper presents a methodology for controlling nonlinear time-varying minimum-phase underactuated systems affected by matched and unmatched perturbations.
The proposed control structure consists of an integral sliding mode control coupled together with a global nonlinear H∞-control for rejecting vanishing and nonvanishing matched perturbations and for attenuating the unmatched ones, respectively.
It is theoretically proven that, using the proposed controller, the origin of the free-disturbance nonlinear system is asymptotically stabilized, while the matched disturbances are rejected whereas the L2-gain of the corresponding nonlinear system with unmatched perturbation is less than a given disturbance attenuation level γ with respect to a given performance output.
The capability of the designed controller is verified through a flexible joint robot manipulator typically affected by both classes of external perturbations.
In order to assess the performance of the proposed controller, an existing sliding modes controller based on a nonlinear integral-type sliding surface is also implemented.
Both controllers are then compared for trajectory tracking tasks.
Numerical simulations show that the proposed approach exhibits better performance.
American Psychological Association (APA)
Miranda-Colorado, Roger& Chavez, Carlos& Aguilar, Luis T.. 2017. Integral Sliding Modes with Nonlinear H∞-Control for Time-Varying Minimum-Phase Underactuated Systems with Unmatched Disturbances. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190522
Modern Language Association (MLA)
Miranda-Colorado, Roger…[et al.]. Integral Sliding Modes with Nonlinear H∞-Control for Time-Varying Minimum-Phase Underactuated Systems with Unmatched Disturbances. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1190522
American Medical Association (AMA)
Miranda-Colorado, Roger& Chavez, Carlos& Aguilar, Luis T.. Integral Sliding Modes with Nonlinear H∞-Control for Time-Varying Minimum-Phase Underactuated Systems with Unmatched Disturbances. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190522