{"title":"Stabilization of Rotational Motion of Spacecrafts Using Quantized Two Torque Inputs Based on Random Dither","authors":"Yusuke Kuramitsu, Tomoaki Hashimoto, Hirokazu Tahara","volume":142,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":1011,"pagesEnd":1016,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10009724","abstract":"The control problem of underactuated spacecrafts has
\r\nattracted a considerable amount of interest. The control method for
\r\na spacecraft equipped with less than three control torques is useful
\r\nwhen one of the three control torques had failed. On the other hand,
\r\nthe quantized control of systems is one of the important research
\r\ntopics in recent years. The random dither quantization method that
\r\ntransforms a given continuous signal to a discrete signal by adding
\r\nartificial random noise to the continuous signal before quantization
\r\nhas also attracted a considerable amount of interest. The objective of
\r\nthis study is to develop the control method based on random dither
\r\nquantization method for stabilizing the rotational motion of a rigid
\r\nspacecraft with two control inputs. In this paper, the effectiveness of
\r\nrandom dither quantization control method for the stabilization of
\r\nrotational motion of spacecrafts with two torque inputs is verified
\r\nby numerical simulations.","references":"[1] P. E. Crouch, Spacecraft Attitude Control and Stabilization: Applications\r\nof Geometric Control Theory to Rigid Body Models, IEEE Transaction\r\non Automatic Control, Vol. 29, No. 4, pp. 321-331, 1984.\r\n[2] R. W. Brockett, Asymptotic stability and feedback stabilization,\r\nDifferential Geometric Control Theory, Birkh\u00a8auser, pp. 181-191, 1983.\r\n[3] D. Aeyels, Stabilization by smooth feedback of the angular velocity of\r\na rigid body, Systems & Control Letters, Vol. 6, No. 1, pp. 59-63, 1985.\r\n[4] R. Outbib and G. Sallet, Stabilizability of the angular velocity of a rigid\r\nbody revisited, Systems & Control Letters, Vol. 18, No. 2, pp. 93-98,\r\n1992. [5] R. T. M\u2019Closkey and R. M. Murray, Exponential Stabilization of\r\nDriftless Nonlinear Control Systems Using Homogeneous Feedback,\r\nIEEE Transaction on Automatic Control, Vol. 42, No. 5, pp. 614-628,\r\n1997.\r\n[6] C. I. Byrnes and A. 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