Discrete Sliding Mode Control Design With Invariant Sliding Sectors

[+] Author and Article Information
Xinghuo Yu, Shuanghe Yu

Faculty of Informatics and Communication, Central Queensland University, Rockhampton, QLD 4702, Australiae-mail: {x.yu and s.yu}@cqu.edu.au

J. Dyn. Sys., Meas., Control 122(4), 776-782 (Feb 18, 2000) (7 pages) doi:10.1115/1.1318945 History: Received February 18, 2000
Copyright © 2000 by ASME
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A typical sliding sector with two linear boundaries
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A sketch map for the proof of Theorem 1
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Three regions in the phase plane
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(a) The phase plan portrait of dynamics in S1 with conjugate complex eigenvalues; (b) the phase plane portrait of dynamics in S1 with two real eigenvalues.
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Phase plane portrait in region S2
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Sketch diagram demonstrating divergence and convergence behaviors
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Trajectory with conditions (39) and (40) satisfied
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Trajectory with condition (39) violated
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Trajectory with condition (40) violated
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Trajectory with uncertainty [Δa1 Δa2]=[−0.05 0.1]




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