Abstract
In this paper, a new sliding mode disturbance observer (SMDO) is developed using the terminal sliding mode technique. The SMDO is employed to estimate unknown external disturbances and modeling uncertainties in finite time. Based on the designed SMDO, a boundary layer adaptive sliding mode attitude control scheme is proposed for near-space vehicles (NSVs). The designed attitude control scheme can guarantee the satisfactory attitude tracking performance of the multi-input and multi-output (MIMO) attitude motion for the NSV subject to the time-varying disturbance. The rigorous stability of the closed-loop system is proved using the Lyapunov method. Finally, simulation results are presented to illustrate the effectiveness the proposed control scheme.
Similar content being viewed by others
References
Jiang, B., Gao, Z.: Adaptive fault-tolerant tracking control of near-space vehicle using Takagi–Sugeno fuzzy models. IEEE Trans. Fuzzy Syst. 18(5), 1000–1007 (2010)
Chen, M., Zhou, Y.L., Guo, W.: Robust tracking control for uncertain MIMO nonlinear systems with input saturation using RWNNDO. Neurocomputing 114(11), 436–447 (2014)
Chen, M., Jiang, B.: Robust attitude control of near space vehicles with time-varying disturbances. Int. J. Control Autom. Syst. 11(1), 182–187 (2013)
Gao, Z., Jiang, B.: Fault-tolerant control for a near space vehicle with a stuck actuator fault based on a Takagi–Sugeno fuzzy model. Proc. Inst. Mech. Eng. I: J. Syst. Control Eng. 224(5), 587–598 (2010)
Chen, M., Wu, Q.X., Jiang, C.S., Jiang, B.: Guaranteed transient performance based control for near space vehicles with input saturation. Sci. China Inf. Sci. 57(5), 1–12 (2014)
Zhou, L.: Robust adaptive control for near space vehicles based on backstepping approach. PhD thesis, Nanjing University of Aeronautics and Astronautics, Nanjing (2008)
Chen, M., Jiang, B., Wu, Q.X., Jiang, C.S.: Robust control of near-space vehicles with input backlash-like hysteresis. Proc. Inst. Mech. Eng. I: J. Syst. Control Eng. 227(8), 635–644 (2013)
Chen, M., Yu, J.: Adaptive dynamic surface control of NSVs with input saturation using a disturbance observer. Chin. J. Aeronaut. 28(3), 853–864 (2015)
Ito, D., Ward, D.T.: Robust dynamic inversion controller design and analysis for the X-38. AIAA Guidance, Navigation, and Control Conference and Exhibit, Montreal, Canada (2001)
Wang, Y.F., Wu, Q.X.: NSV attitude system fuzzy modeling based on modified L–M algorithm. J. Southeast Univ. (Nat. Sci. Ed.) 40(1), 103–108 (2010)
Pu, M., Wu, Q.X.: New fast terminal sliding mode and its application to near space vehicles. Acta Aeronautica et Astronautica Sinica 32(7), 1283–1291 (2011)
Huang, J.C., Li, H.S.: Speed control of PMSM using fractional order integral sliding mode controller. J. Jilin Univ. (Eng. Technol. Ed.) 43(1), 28–35 (2013)
Xu, Y., Jiang, F.: Chatter free sliding mode control of a chaotic coal mine power grid with small energy inputs. Int. J. Min. Sci. Technol. 22(4), 477–481 (2012)
Xiao, H., Yan, H.: Design and simulation of ship course discrete-time sliding mode controller based on RBFNN. J. Cent. South Univ. (Sci. Technol.) 44(1), 12–15 (2013)
Cheng, J., Yi, J.: Design of a sliding mode controller for trajectory tracking problem of marine vessels. Control Theory Appl. 1(1), 233–237 (2007)
Xie, X.H., Dai, Y.F.: Fuzzy sliding mode controller for servo tracking control in precision machine tools. Control Theory Appl. 23(6), 913–918 (2003)
Jafarov, E.M., Tasaltin, R.: Robust sliding mode control for the uncertain MIMO aircraft model F-18. IEEE Trans. Aerosp. Electron. Syst. 36(4), 1127–1140 (2000)
Sira, R.H., Zribi, M.: Dynamical sliding mode control approach for vertical flight regulation in helicopters. Control Theory Appl. 141(1), 19–24 (1994)
He, X.X., Qin, Z.H.: Adaptive iterative learning control for uncertain robot based on boundary layer. Control Theory Appl. 29(8), 1090–1093 (2012)
Wang, W.X., Guo, R.: Study of flow characteristics of hypersonic inlet based on boundary layer transition. Acta Aeronautica et Astronautica Sinica 33(10), 1772–1780 (2012)
Cui, R.X., Ge, S.S.: Leader–follower formation control of underactuated autonomous underwater vehicles. Ocean Eng. 37(17), 1491–1502 (2010)
Cui, R.X., Ren, B., Ge, S.S.: Synchronised tracking control of multi-agent system with high order dynamics. IET Control Theory Appl. 6(5), 603–614 (2012)
Cui, R.X., Yan, W.: Mutual synchronization of multiple robot manipulators with unknown dynamics. J. Intell. Robot. Syst. 68(2), 105–119 (2012)
Xue, Y., Jiang, C.S.: Robust adaptive trajectory linearization control for aerospace vehicle. Syst. Eng. Electron. 30(3), 522–526 (2008)
Takeshi, F., Somboon, S.: A position-and-velocity sensorless control for brushless DC motors using an adaptive sliding mode observer. IEEE Trans. Ind. Electron. 39(2), 89–95 (1992)
Mezouar, A., Fellah, M.K.: Adaptive sliding-mode-observer for sensorless induction motor drive using two-time-scale approach. Simul. Model. Pract. Theory 16(9), 1323–1336 (2008)
Zhang, X.F., Wang, J.Y.: Design of sliding mode controller based on SMDO and its application to missile control. Acta Aeronautica et Astronautica Sinica 23(5), 873–880 (2011)
Zhang, Q., Wu, Q.X.: Robust reconfigurable tracking control of near space vehicle with actuator dynamic and input constraints. Control Theory Appl. 29(10), 1263–1271 (2012)
Zhang, J.: Robust adaptive control for nonlinear uncertain flight moving systems of near space vehicle. PhD thesis, Nanjing University of Aeronautics and Astronautics, Nanjing (2009)
Levant, A.: Sliding order and sliding accuracy in sliding mode control. Int. J. control 58(6), 1247–1263 (1993)
Levant, A.: Robust exact differentiation via sliding mode technique. Automatica 3, 379–384 (1998)
Levant, A.: High order sliding modes, differentiation and output-feedback control. Int. J. Control 76(9–10), 924–941 (2003)
Lu, Y.S.: Sliding-mode disturbance observer with switching-gain adaptation and its application to optical disk drives. IEEE Trans. Ind. Electron. 56(9), 3743–3750 (2009)
Besnard, L., Shtessel, Y.B.: Quadrotor vehicle control via sliding mode controller driven by sliding mode disturbance observer. J. Frankl. Inst. 349(2), 658–664 (2012)
Hall, C.E., Shtessel, Y.B.: Sliding mode disturbance observer-based control for a reusable launch vehicle. J. Guid. Control Dyn. 29(6), 1315–1328 (2006)
Jin, B., Xiong, S.: Chattering inhibition of variable rate reaching law sliding mode control for electro-hydraulic position servo system. J. Mech. Eng. 49(10), 163–169 (2013)
Pu, M.: Robust adaptive sliding mode control for near space vehicle. PhD thesis, Nanjing University of Aeronautics and Astronautics, Nanjing (2011)
Author information
Authors and Affiliations
Corresponding author
Additional information
This work is partially supported by National Natural Science Foundation of China (Granted Number: 61174102), Program for New Century Excellent Talents in University of China (Granted Number: NCET-11-0830), Jiangsu Natural Science Foundation of China (Granted Number: SBK20130033), Specialized Research Fund for the Doctoral Program of Higher Education (Granted Number: 20133218110013), Aeronautical Science Foundation of China (Granted Number: 20145152029) and A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Rights and permissions
About this article
Cite this article
Chen, M., Yu, J. Disturbance observer-based adaptive sliding mode control for near-space vehicles. Nonlinear Dyn 82, 1671–1682 (2015). https://doi.org/10.1007/s11071-015-2268-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-015-2268-x