Document Type : Original Article


1 MSc student in school of Electrical and Electronic Engineering. Shiraz university of Technology

2 Assistant Professor in school of Electrical and Electronic Engineering. Shiraz university of Technology



This paper considers the problem of asymptotic stabilizing of velocity and body rates of a spacecraft in the presence of uncertainties and external disturbances. One of the important methods in controller design for nonlinear systems; is designing based on the passivity concept. This concept which provides a useful tool for analysis of nonlinear systems has been also used for asymptotic stabilizing of nonlinear dynamical systems especially mechanical systems. The passivity-based control law is a static output feedback and has valuable features. Because of existence of uncertainties and external disturbances in the state-space of equations of physical systems; first the robust version of passivity-based control method, which is recently developed in literature, is given and the control law for nonlinear uncertain systems with affine structure is presented. Then, this approach is used in controller design for a spacecraft. Since, this paper considers only the stabilization of velocity and body rates, therefore the reduced-order model is extracted from the state-space equation of a spacecraft with six degree of freedom and then the robust control law is designed. Computer simulations show the efficiency of the proposed controller in robust asymptotic stabilizing of the velocity and body rate vectors of the spacecraft in the presence of uncertainties and external disturbances.


1- Terui F., Position and Attitude Control of a Spacecraft by Sliding mode Control, Proceedings of the American Controls Conference, 217-221 1998.
2- Stansbery D. T. and Cloutier J. R., Position and attitude control of a spacecraft using the state-dependent Riccati equation technique, Proceedings of the American Controls Conference, Chicago, lllinois, 1867-1871 Jun. 2000.
3- Cong B. and Liu X. and Chen Z., Backstepping based adaptive sliding mode control for spacecraft attitude maneuvers, American Controls Conference, UK, Cardiff, 3-5 Sep. 2012.
4- Boskovic J.D. and Li S-M. and Mehra R.K., Robust tracking control design for spacecraft under control input saturation, Journal of Guidance, Control, and Dynamics, Vol.27, No.4 , 2004, pp. 627-633.
5- Kotsamran K. and Pukdeboon C., Robust Control with Finite Time Convergence for Flexible Spacecraft Attitude Tracking, KMITL Sci. Tech, Vol. 12, No. 2, 2012.
6- Wang J. and Sun Z., 6-DOF robust adaptive terminal sliding mode control for spacecraft formation flying, Acta Astronautica, Vol. 73, 2012, pp. 76-87.
7- Binazadeh T. and Yazdanpanah M.J., Application of Passivity Based Control for Partial Stabilization., Nonlinear Dynamics and Systems Theory, Vol. 11, No. 4, 2011, pp.373–382.
8- Byrnes C.I. and Isidori A. and Willems J.C., Passivity, Feedback Equivalence, and the Global Stabilization of Minimum Phase Nonlinear Systems, IEEE Transaction Automatic Control, Vol.36, No.11, 1991, pp. 1228-1240.
9- Khalil H.K., Nonlinear systems, 3rd ed, Prentice hall, 2002.
10- Slotine J-J.E. and Li W., Applied nonlinear control, Prentice hall, 1991.
11- Bao J. and Lee P., Process control: the passive systems approach, Springer, 2007.
12- Travieso‐Torres J.C. and Duarte‐Mermoud M.A. and Sepuleveda D.I., Passivity‐based control for stabilization, regulation and tracking purposes of a class of nonlinear systems, International Journal of adaptive control and signal processing, Vol.21, No. 7, 2007, pp. 582-602.
13- Mahmoud M.S. and Abdulla I., Passivity and passification of time-delay systems, Journal of Mathematical Analysis and Applications, Vol. 292, No.1, 2004, pp. 247-258.
14- Koshkouei A. J., Passivity-based sliding mode control for nonlinear systems, International Journal of Adaptive Control and Signal Processing, Vol. 22, 2008, pp.859-874.
15- Wu Z. and Xie X. and Shi P., Robust adaptive output-feedback control for nonlinear systems with output unmodeled dynamics, International Journal of Robust And Nonlinear Control, Vol. 18, 2008, pp. 1162-1187.
16- Lin W. and Shen T., Robust passivity and feedback design for minimum-phase nonlinear systems with structureal uncertainty, Automatica, Vol. 35, No.1, 1999, pp. 35-47.
17- Tsai C.C. and Wu H.L., Robust passivity-based control of weakly minimum phase nonlinear uncertain systems: An application to manipulator, Asian Control Conference, 919-924 Aug. 2009.
18- Liu Z. and Su H. and Pan S., Passivity-based Adaptive Integral Sliding Mode Control of Uncertain Nonlinear Systems, Proceedings of the 8th World Congress on Intelligent Control and Automation, 3939-3944 July. 2010.
19- Bi M.D. and Wang L. and Zhao Y., On the operator and passivity based robust control for robot manipulator, Proceedings of the International Conference on Advanced Mechanical Systems, Tokyo, Japan, 185-189 Sep. 2012.
20- LiuW. and WangZ. and ChenG., Passivity-based observer design and robust output feedback control for nonlinear uncertain systems, Control Conference, 1-6 Jun. 2013.