This paper presents a backstepping control for a class of single-input-single-output (SISO) strict-feedback fractional discrete-time systems for the first time. By tracking state variables in error functions, the stability criterion is used to design a controller such that the closed-loop system is stable. Finally, two simulation examples are demonstrated. By using different fractional order parameters, the fractional discrete-time system is stable and the effectiveness of the proposed controller is verified.

中文翻译：

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分数离散时间系统的反步控制

本文首次提出了一类单输入单输出（SISO）严格反馈分数离散时间系统的反步控制。通过跟踪误差函数中的状态变量，使用稳定性准则来设计控制器，使闭环系统稳定。最后，演示了两个仿真示例。通过使用不同的分数阶参数，分数离散时间系统是稳定的，验证了所提控制器的有效性。