Frequency-domain methods in conventional and higher-order sliding mode control

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations


Sliding mode control has become a mature theory and found a number of useful applications. The theory of sliding mode control is based on mostly state space models and Lyapunov approach to analysis of the convergence of the system states to the sliding surface. This approach often limits the analysis to the second-order systems. Frequency-domain methods could potentially overcome the above-mentioned limitation of the state-space approach. Yet they find limited applications in sliding mode control theory. The present article is aimed at giving an overview of some available and emerging frequency domain methods of analysis of systems having conventional and second-order sliding modes. The method of analysis of transient oscillations is given in detail. A frequency-domain criterion of finite-time convergence is presented.

Original languageBritish English
Title of host publicationSliding Modes After the First Decade of the 21st Century
Subtitle of host publicationState of the Art
EditorsLeonid Fridman, Rafael Iriarte, Jaime A. Moreno
Number of pages20
StatePublished - 2011

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643


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