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Lessons from an example in “On the stability of discrete-time sliding mode control systems”

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1 Author(s)
Westphal, L.C. ; Dept. of Comput. Syst. & Electr. Eng., Queensland Univ., Brisbane, Qld., Australia

Initial conditions are presented for which the indicated example in the above paper by Sarpturk et al. (ibid. vol.AC-32 (1987)) is shown to fail to meet the paper's theoretical requirements. The importance of this error is that the example now represents a counterexample to the suggested form of the sliding mode control, demonstrates a necessary restriction on any such quasi-sliding mode control, and illustrates that restrictions presented in another paper are not global

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Automatic Control, IEEE Transactions on  (Volume:44 ,  Issue: 7 )