Journal
ANNUAL REVIEWS IN CONTROL
Volume 48, Issue -, Pages 209-221Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.arcontrol.2019.05.007
Keywords
Finite- and fixed-time convergence; Settling time estimation; Control and observer design
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Funding
- Mexican National Science and Technology Council (CONACyT) [250611]
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This paper presents a review of finite- and fixed-time convergent algorithms for dynamic systems of various dimensions and relative degrees, with or without disturbances. The review mainly focuses on finite- and fixed-time convergent algorithms, which provide explicit and easily computable upper estimates for the corresponding convergence times. The finite- and fixed-time convergent algorithms are classified according to their actions and structural properties: regulators, observers (differentiators), controllers; discontinuous and continuous, non-smooth and smooth, non-adaptive and adaptive. Some fixed time convergent algorithms are illustrated by simulation examples displaying typical time histories of the state/estimate trajectories in each case. (C) 2019 Elsevier Ltd. All rights reserved.
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