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We present an algorithm of supervisory control with fuzzy logic and adaptive control of a low earth orbit (LEO) satellite with single-spin stabilization. The error generated by an adaptive control signal can be computed with only the reference dynamics of the model and the damping. A fuzzy logic algorithm is presented that acts as a supervisory control and estimates the changes of the parameters and applies the necessary signals to avoid any unsuitability in the system. The results of simulation have shown that position control is performed within an acceptable tolerance by using the suggested algorithm, which includes three closed-loop systems and unknown parameters of the system [1,2,3]. [ABSTRACT FROM AUTHOR]