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Title: Circumventing the Relative Degree Condition in Sliding Mode Design
Authors: Edwards, Christopher
Floquet, Thierry
Spurgeon, Sarah K.
First Published: 2008
Publisher: Springer Verlag
Citation: Lecture Notes in Control and Information Sciences, 2008, 375, Modern Sliding Mode Control Theory / Bartolini, G.; Fridman, L.; Pisano, A.; Usai, E. (Eds.); pp. 137-158.
Abstract: A continuous time sliding mode is generated by means of discontinuities in the applied injection signals, about a surface in the state space [17, 33, 40]. The discontinuity surface (usually known as the sliding surface) is attained from any initial condition ideally in a finite time interval. Provided the injection signals are designed appropriately, the motion when constrained to the surface (the sliding mode) is completely insensitive to so-called matched uncertainties, i.e. uncertainties that lie within the range space of the matrix distributing the injection signals. Much early work in this area related to control problems and assumed all of the states were available for use both in the switching function evaluation and also by the control law. For practical application however, the case when only limited state information is available is of interest.
Series/Report no.: Lecture Notes in Control and Information Sciences;375
DOI Link: 10.1007/978-3-540-79016-7_7
ISSN: 0170-8643
ISBN: 9783540790150
Type: Book chapter
Rights: © Springer-Verlag Berlin Heidelberg 2008.
Description: Metadata only entry.
Appears in Collections:Books & Book Chapters, Dept. of Engineering

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