Abstract
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.
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Boiko, I.M. (2011). Frequency-Domain Methods in Conventional and Higher-Order Sliding Mode Control. In: Fridman, L., Moreno, J., Iriarte, R. (eds) Sliding Modes after the First Decade of the 21st Century. Lecture Notes in Control and Information Sciences, vol 412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22164-4_3
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DOI: https://doi.org/10.1007/978-3-642-22164-4_3
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