Dynamical behaviors of an euler discretized sliding mode control systems
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Date
Authors
Qu, Shaocheng
Xia, Xiaohua
Zhang, Jiangfeng
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers
Abstract
The dynamical behaviors of an Euler discretized slidingmode
control (SMC) systems based on equivalent control strategy are studied.
A periodic-2 orbit in steady state is found for the switching function
of the Euler discretized SMC systems. The time steps for the switching
function to converge toward the periodic-2 orbit are obtained. When the
discretized SMC system is stable, it further shows that the system states
of the SMC systems will also enter into some periodic-2 orbits, and these
periodic-2 orbits are characterized by explicit analytic expressions. Finally,
simulation examples are given to illustrate the theoretical results.
Description
Keywords
Euler discretization, Periodic orbits, Sliding mode control
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Citation
Qu, S, Xia, X & Zhang, J 2014, 'Dynamical behaviors of an euler discretized sliding mode control systems', IEEE Transactions on Automatic Control, vol. 59, no. 9, Art. #6748852, pp. 2525-2529.