Dynamical behaviors of an euler discretized sliding mode control systems

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Authors

Qu, Shaocheng
Xia, Xiaohua
Zhang, Jiangfeng

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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.

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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.