Qu, ShaochengXia, XiaohuaZhang, Jiangfeng2014-10-062014-10-062014-09Qu, 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. 2525-2529.0018-9286 (print)1558-2523 (online)10.1109/TAC.2014.2308620http://hdl.handle.net/2263/42251The 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.en© 2014 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.Euler discretizationPeriodic orbitsSliding mode controlPostprint Article