Cm. Kwan, A NEW METHOD OF SWITCHING SURFACE DESIGN FOR MULTIVARIABLE STRUCTURE-SYSTEM - COMMENT, IEEE transactions on automatic control, 40(7), 1995, pp. 1254-1255
Citations number
2
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
This note points out some errors in the above paper.(1) It is argued t
hat the proof in the main theorem is not mathematically rigorous. The
control scheme requires the derivative of the sliding variable to be a
vailable, which is equivalent to saying that the uncertainties of the
system are measurable. This is highly impractical if not impossible to
implement. The theorem also says that the proposed new switching surf
ace and control scheme can guarantee robustness of the system from ini
tial time to final time. This is also incorrect because the theorem on
ly shows that the sliding variable tends to zero approximately, i.e.,
the sliding motion only occurs approximately at t=infinity. The paper
also contains several misprints.