© The Institution of Engineering and Technology
This study revisits the problem of attitude stabilisation for rigid spacecraft with actuator constraints in the framework of non-linear proportional–derivative (PD) control methodology. A simple single saturated PD (SSPD) control is proposed. The most appealing features of the proposed SSPD control are that it completely embeds the control action within only a single saturation function for every actuator and omits the elaborate discrimination of the terms that shall be bounded for the commonly-used saturated control and hence it is easy for practical implementation with an improved performance. Lyapunov's direct method is employed to show asymptotic attitude stabilisation. Two illustrative examples are presented to demonstrate the improved performance of the proposed approach.
References
-
-
1)
-
5. Wie, B., Weiss, H., Arapostathis, A.: ‘Quaternion feedback regulator for spacecraft eigenaxis rotations’, J. Guid. Control Dyn., 1989, 12, (3), pp. 375–380.
-
2)
-
4. Shen, Q., Yue, C., Goh, C.H., et al: ‘Rigid-body attitude stabilization with attitude and angular rate constraints’, Automatica, 2018, 90, pp. 157–163.
-
3)
-
9. Subbarao, K.: ‘Nonlinear PID-like controllers for rigid-body attitude stabilization’, J. Astronaut. Sci., 2004, 52, (1–2), pp. 61–74.
-
4)
-
17. Salton, A.T., Al-Ghanimi, A., Flores, J.V., et al: ‘Saturation-aware control design for micro–nano positioning systems’, IET Control Theory Appl., 2017, 11, (15), pp. 2559–2566.
-
5)
-
13. Su, Y.X., Zheng, C.H.: ‘Simple nonlinear proportional-derivative control for global finite-time stabilization of spacecraft’, J. Guid. Control Dyn., 2015, 38, (1), pp. 173–178.
-
6)
-
26. Shuster, M.D.: ‘A survey of attitude representations’, J. Astronaut. Sci., 1993, 41, (4), pp. 439–517.
-
7)
-
27. Teel, A.R.: ‘Global stabilization and restricted tracking for multiple integrators with bounded controls’, Syst. Control Lett., 1992, 18, (3), pp. 165–171.
-
8)
-
11. Zhu, Q., Hu, G.-D., Yin, Y.-X.: ‘Estimating the stability domain of spacecraft attitude with delayed feedback’, IET Control Theory Appl., 2012, 6, (13), pp. 2076–2082.
-
9)
-
12. Hu, J.C., Zhang, H.H.: ‘On input-to-state stability of rigid-body attitude control with quaternion representation’, Int. J. Robust Nonlinear Control, 2018, 28, (4), pp. 1334–1349.
-
10)
-
29. Aguinaga-Ruiz, E., Zavala-Rio, A., Santibanez, V., et al: ‘Global trajectory tracking through static feedback for robot manipulators with bounded inputs’, IEEE Trans. Control Syst. Technol., 2009, 17, (4), pp. 934–944.
-
11)
-
16. Dixon, W.E.: ‘Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics’, IEEE Trans. Autom. Control, 2007, 52, (3), pp. 488–493.
-
12)
-
30. Slotine, J.J.E., Li, W.: ‘Applied nonlinear control’ (Prentice-Hall, Englewood Cliffs, NJ, 1991).
-
13)
-
1. Wen, J.T.-Y., Kreutz-Delgado, K.: ‘The attitude control problem’, IEEE Trans. Autom. Control, 1991, 36, (10), pp. 1148–1162.
-
14)
-
28. Su, Y.X., Zheng, C.H., Mercorelli, P.: ‘Global finite-time stabilization of planar linear systems with actuator saturation’, IEEE Trans. Circuits Syst. II, Express Briefs, 2017, 64, (8), pp. 947–951.
-
15)
-
8. Tsiotras, P.: ‘Further passivity results for the attitude control problem’, IEEE Trans. Autom. Control, 1998, 43, (11), pp. 731–735.
-
16)
-
20. Su, Y.X., Zheng, C.H.: ‘Globally asymptotic stabilization of spacecraft with simple saturated proportional-derivative control’, J. Guid. Control Dyn., 2011, 34, (6), pp. 1932–1935.
-
17)
-
19. Wie, B., Lu, J.B.: ‘Feedback control logic for spacecraft eigenaxis rotations under slew rate and control constraints’, J. Guid. Control Dyn., 1995, 18, (6), pp. 1372–1379.
-
18)
-
15. Su, Y.X., Zheng, C.H.: ‘Velocity-free saturated PD controller for asymptotic stabilization of spacecraft’, Aerosp. Sci. Technol., 2014, 39, pp. 6–12.
-
19)
-
24. Du, H.B., Li, S.H.: ‘Finite-time attitude stabilization for a spacecraft using homogeneous method’, J. Guid. Control Dyn., 2012, 35, (3), pp. 740–748.
-
20)
-
23. Gui, H.C., Vukovich, G.: ‘Robust switching of modified Rodrigues parameter sets for saturated global attitude control’, J. Guid. Control Dyn., 2017, 40, (6), pp. 1529–1536.
-
21)
-
2. Kristic, M., Tsiotras, P.: ‘Inverse optimal stabilization of a rigid spacecraft’, IEEE Trans. Autom. Control, 1999, 44, (5), pp. 1042–1049.
-
22)
-
3. Sun, S.H., Zhao, L., Jia, Y.M.: ‘Finite-time output feedback attitude stabilisation for rigid spacecraft with input constraints’, IET Control Theory Appl., 2016, 10, (14), pp. 1740–1750.
-
23)
-
25. Gui, H.C., Jin, L., Xu, S.J.: ‘Simple finite-time attitude stabilization laws for rigid spacecraft with bounded inputs’, Aerosp. Sci. Technol., 2015, 42, pp. 176–186.
-
24)
-
6. Wie, B., Bailey, D., Heiberg, C.: ‘Rapid multitarget acquisition and pointing control of agile spacecraft’, J. Guid. Control Dyn., 2002, 25, (1), pp. 96–104.
-
25)
-
14. Subbarao, K., Akella, M.R.: ‘Differentiator-free nonlinear proportional-integral controllers for rigid-body attitude stabilization’, J. Guid. Control Dyn., 2004, 27, (6), pp. 1092–1096.
-
26)
-
21. Hu, J.C., Zhang, H.H.: ‘A simple saturated control framework for spacecraft with bounded disturbances’, Int. J. Robust Nonlinear Control, 2016, 26, (3), pp. 367–384.
-
27)
-
18. Xia, Y.Q, Su, Y.X.: ‘Global saturated velocity-free finite-time control for attitude tracking of spacecraft’, IET Control Theory Appl., 2019, 13, (11), pp. 1591–1602.
-
28)
-
7. Tsiotras, P.: ‘Stabilization and optimality results for the attitude control problem’, J. Guid. Control Dyn., 1996, 19, (4), pp. 772–779.
-
29)
-
10. Hokayem, P.F., Schilling, K.: ‘Input-to-state stable attitude control’, J. Guid. Control Dyn., 2008, 31, (6), pp. 1826–1829.
-
30)
-
22. Su, Y.X., Zheng, C.H.: ‘Unified saturated proportional derivative control framework for asymptotic stabilisation of spacecraft’, IET Control Theory Appl., 2016, 10, (7), pp. 772–779.
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