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Analysis of Discrete Sliding Mode Variable Structure Control Stability

Wu Hansong Yao Qionghui Huang Jiqi  
Two fashionable descrete-time variable structure schemes-Furuta's and Wang's schemes are investigated in this paper, and it is found out that the stability theorem of Wang's scheme is untenable and its proof is not sufficent. The contrary examples are given out by means of simulation. It is pointed out in the paper when the control structure alternately changes in the α region andβ region, the system is asympotically stable only if the spectral radius of the corresponding state transition matrix Ai in one cycle process of the state motion is less than 1.
【CateGory Index】: O231
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