Robust disturbance rejection for discrete-time systems having Magnitude and rate bounded inputs

The design of a robust controller for uncertain discrete-time systems subject to bounded disturbances and having magnitude and rate bounded actuators is considered. To tackle the problem, the proposed method utilises nested ellipsoids and employs an incremental (velocity) form of the state-space mod...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2020-08, Vol.357 (12), p.8252-8276
Main Author: Küçükdemiral, İbrahim B.
Format: Article
Language:English
Subjects:
Actuators
Algorithms
Control systems design
Controllers
Design modifications
Discrete element method
Discrete time systems
Ellipsoids
Gain scheduling
Parameter uncertainty
Robust control
State space models
Velocity
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Summary:The design of a robust controller for uncertain discrete-time systems subject to bounded disturbances and having magnitude and rate bounded actuators is considered. To tackle the problem, the proposed method utilises nested ellipsoids and employs an incremental (velocity) form of the state-space model of the system. By using modified full block S-procedure, the proposed robust control design approach is applicable to any uncertain system with rational parameter dependence which cannot be managed by the existing approaches without introducing some extra conservatism. Finally, an algorithm that allows the method to be used as a gain-scheduling controller is also noted in the study.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2020.06.001