**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32583

##### Stabilization of Rotational Motion of Spacecrafts Using Quantized Two Torque Inputs Based on Random Dither

**Authors:**
Yusuke Kuramitsu,
Tomoaki Hashimoto,
Hirokazu Tahara

**Abstract:**

**Keywords:**
Spacecraft control,
quantized control,
nonlinear
control,
random dither method.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1475034

**References:**

[1] P. E. Crouch, Spacecraft Attitude Control and Stabilization: Applications of Geometric Control Theory to Rigid Body Models, IEEE Transaction on Automatic Control, Vol. 29, No. 4, pp. 321-331, 1984.

[2] R. W. Brockett, Asymptotic stability and feedback stabilization, Differential Geometric Control Theory, Birkh¨auser, pp. 181-191, 1983.

[3] D. Aeyels, Stabilization by smooth feedback of the angular velocity of a rigid body, Systems & Control Letters, Vol. 6, No. 1, pp. 59-63, 1985.

[4] R. Outbib and G. Sallet, Stabilizability of the angular velocity of a rigid body revisited, Systems & Control Letters, Vol. 18, No. 2, pp. 93-98, 1992.

[5] R. T. M’Closkey and R. M. Murray, Exponential Stabilization of Driftless Nonlinear Control Systems Using Homogeneous Feedback, IEEE Transaction on Automatic Control, Vol. 42, No. 5, pp. 614-628, 1997.

[6] C. I. Byrnes and A. Isidori, On the Attitude Stabilization of Rigid Spacecraft, Automatica, Vol. 27, No. 1, pp. 87-95, 1991.

[7] J.-M. Coron and E.-Y. Kera¨ı, Explicit Feedbacks Stabilizing the Attitude of a Rigid Spacecraft with Two Control Torques, Automatica, Vol. 32, No. 5, pp. 669-677, 1996.

[8] P. Morin and C. Samson, Time-Varying Exponential Stabilization of a Rigid Spacecraft with Two Control Torques, IEEE Transaction on Automatic Control, Vol. 42, No. 4, pp. 528-533, 1997.

[9] T. Hashimoto, I. Yoshimoto, T. Ohtsuka, Probabilistic Constrained Model Predictive Control for Schr¨odinger Equation with Finite Approximation, Proceedings of SICE Annual Conference, pp. 1613-1618, 2012.

[10] T. Hashimoto, Probabilistic Constrained Model Predictive Control for Linear Discrete-time Systems with Additive Stochastic Disturbances, Proceedings of IEEE Conference on Decision and Control, pp. 6434-6439, 2013.

[11] T. Hashimoto, Computational Simulations on Stability of Model Predictive Control for Linear Discrete-time Stochastic Systems, International Journal of Computer, Electrical, Automation, Control and Information Engineering, Vol. 9, No. 8, pp. 1385-1390, 2015.

[12] T. Hashimoto, Y. Yoshioka, T. Ohtsuka, Receding Horizon Control with Numerical Solution for Thermal Fluid Systems, Proceedings of SICE Annual Conference, pp. 1298-1303, 2012.

[13] T. Hashimoto, Y. Yoshioka, T. Ohtsuka, Receding Horizon Control with Numerical Solution for Spatiotemporal Dynamic Systems, Proceedings of IEEE Conference on Decision and Control, pp. 2920-2925, 2012.

[14] T. Hashimoto, Y. Takiguchi and T. Ohtsuka, Output Feedback Receding Horizon Control for Spatiotemporal Dynamic Systems, Proceedings of Asian Control Conference, 2013.

[15] T. Hashimoto, Y. Yoshioka and T. Ohtsuka, Receding Horizon Control for Hot Strip Mill Cooling Systems, IEEE/ASME Transactions on Mechatronics, Vol. 18, No. 3, pp. 998-1005, 2013.

[16] T. Hashimoto, Y. Yoshioka and T. Ohtsuka, Receding Horizon Control With Numerical Solution for Nonlinear Parabolic Partial Differential Equations, IEEE Transactions on Automatic Control, Vol. 58, No. 3, pp. 725-730, 2013.

[17] T. Hashimoto, Y. Takiguchi and T. Ohtsuka, Receding Horizon Control for High-Dimensional Burgersf Equations with Boundary Control Inputs, Transactions of the Japan Society for Aeronautical and Space Sciences, Vol. 56, No.3, pp. 137-144, 2013.

[18] T. Hashimoto, Conservativeness of Probabilistic Constrained Optimal Control Method for Unknown Probability Distribution, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 9, No. 9, pp. 11-15, 2015.

[19] T. Hashimoto, A Method for Solving Optimal Control Problems subject to Probabilistic Affine State Constraints for Linear Discrete-time Uncertain Systems, International Journal of Mechanical and Production Engineering, Vol. 3, Issue 12, pp. 6-10, 2015.

[20] T. Hashimoto, Solutions to Probabilistic Constrained Optimal Control Problems Using Concentration Inequalities, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 10, No. 10, pp. 441-446, 2016.

[21] T. Hashimoto, Stability of Stochastic Model Predictive Control for Schr¨odinger Equation with Finite Approximation, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 11, No. 1, pp. 12-17, 2017.

[22] T. Hashimoto, Stochastic Model Predictive Control for Linear Discrete-time Systems with Random Dither Quantization, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 11, No. 2, pp. 130-134, 2017.

[23] K. Okada, T. Hashimoto, H. Tahara, Attitude Stabilization of Satellites using Random Dither Quantization, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, Vol. 11, No. 8, pp.883-887, 2017.

[24] T. Hashimoto, T. Amemiya and H. A. Fujii, Stabilization of Linear Uncertain Delay Systems with Antisymmetric Stepwise Configurations, Journal of Dynamical and Control Systems, Vol. 14, No. 1, pp. 1-31, 2008.

[25] T. Hashimoto, T. Amemiya and H. A. Fujii, Output Feedback Stabilization of Linear Time-varying Uncertain Delay Systems, Mathematical Problems in Engineering, Vol. 2009, Article ID. 457468, 2009.

[26] T. Hashimoto and T. Amemiya, Stabilization of Linear Time-varying Uncertain Delay Systems with Double Triangular Configuration, WSEAS Transactions on Systems and Control, Vol. 4, No.9, pp.465-475, 2009.

[27] T. Hashimoto, Stabilization of Abstract Delay Systems on Banach Lattices using Nonnegative Semigroups, Proceedings of the 50th IEEE Conference on Decision and Control, pp. 1872-1877, 2011.

[28] T. Hashimoto, A Variable Transformation Method for Stabilizing Abstract Delay Systems on Banach Lattices, Journal of Mathematics Research, Vol. 4, No. 2, pp.2-9, 2012.

[29] T. Hashimoto, An Optimization Algorithm for Designing a Stabilizing Controller for Linear Time-varying Uncertain Systems with State Delays, Computational Mathematics and Modeling, Vol.24, No.1, pp.90-102, 2013.