Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-12T22:06:15.712Z Has data issue: false hasContentIssue false
  • English
  • Français

Smooth adaptive fixed time convergent controller design for BTT missiles with uncertainties

Published online by Cambridge University Press:  13 December 2019

Y. Yun Open the ORCID record for Y. Yun [Opens in a new window] ,
S. Tang Open the ORCID record for S. Tang [Opens in a new window] ,
J. Guo  and
Y. Yun
Y. Yun
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
S. Tang*
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
J. Guo
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Y. Yun
Affiliation:
State Grid Tianjin Power Maintenance Company, Tianjin 300232, China
*
tangsj@bit.edu.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

A smooth adaptive sliding-mode-based controller is developed for BTT missiles considering nonlinear couplings and aerodynamic uncertainties, wherein fixed-time stability theory is synthesised into sliding-mode control algorithm, such that control variables follow the desired command within fixed-bounded convergence time. Unlike other terminal sliding-mode-related works, the bound of settling time is independent of initial states, indicating that performance metrics, for instance the convergence rate, can be evaluated in advance. The control input is designed to be intrinsically smooth, based on adaptive estimations, and therefore the problem of singularity and chattering is effectively eliminated. Simulation results demonstrate the satisfactory performance and validate the effectiveness of the designed approach.

Keywords

BTT controllerfixed time convergencerobust controlsmooth control input
Type
Research Article
Information
The Aeronautical Journal , Volume 124 , Issue 1273 , March 2020 , pp. 323 - 345
Copyright
© Royal Aeronautical Society 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

McGehee, R.M. and Emmert, R.I. Bank-to-turn (BTT) autopilot technology, National Aerospace and Electronics Conference, 1978, 2, pp 688–696.Google Scholar
Arrow, A. and Williams, D. Comparison of classical and modern autopilot design and analysis techniques for a tactical air-to-air bank-to-turn missile, Guidance, Navigation and Control Conference, 1987, 87, (2581), pp 1360–1371. doi: 10.2514/6.1987-2581. Google Scholar
Crater, L.H. and Shamma, J.S. Gain-scheduled bank-to-turn autopilot design using linear parameter varying transformations, Journal of Guidance, Control, and Dynamics, 1996, 19, (5), pp 1056–1063. doi: 10.2514/3.21745.CrossRefGoogle Scholar
Lin, C.F. and Yueh, W.R. Coordinated bank-to-turn autopilot design, American Control Conference, IEEE, 1985, pp 922–926. doi: 10.23919/ACC.1985.4788750. CrossRefGoogle Scholar
Kovach, M., Stevens, T.R. and Arrow, A. A bank-to-turn autopilot design for an advanced air-to-air interceptor, Guidance, Navigation and Control Conference, 2013, 87, (2579), pp 1346–1353. doi: 10.2514/6.1987-2579 Google Scholar
Sun, B.C. and Qi, Z.K. Study of pole placement method for state feedback constrained autopilot design, Journal of System Simulation, 2006, 18, (Sup. 2), pp 892–896. doi: 10.16182/j.cnki.joss.2006.s2.252.Google Scholar
Lin, C.K. and Wang, S.D. An adaptive H∞ controller design for bank-to-turn missiles using ridge Gaussian neural networks, IEEE Transactions on Neural Networks, 2004, 15, (6), pp 1507–1516. doi: 10.1109/TNN.2004.824418.CrossRefGoogle ScholarPubMed
Kang, S., Jin Kim, H., Lee, J-I, Jun, B-E and Tahk, M-J. Roll-pitch-yaw integrated robust autopilot design for a high angle-of-attack missile, Journal of Guidance, Control, and Dynamics, 32, (5), pp 1622–1628. doi: 10.2514/1.39812.CrossRefGoogle Scholar
Choi, Y.S., Lee, H.C. and Choi, J.W. Autopilot design for agile missile with aerodynamic fin and side thruster. SICE 2003 Annual Conference. IEEE, 2003, 2, pp 1476–1481.Google Scholar
Li, S. and Jun, Y. Robust autopilot design for bank-to-turn missiles using disturbance observers, IEEE Transactions on Aerospace and Electronic Systems, 2013, 49, (1), pp 558–579. doi:10.1109/TAES.2013.6404120.CrossRefGoogle Scholar
Zheng, W., Liu, G., Yang, J. and Du, T. An adaptive fuzzy variable structure controller for bank-to-turn missile, Journal of Computational Information Systems, 2011, 7, (2), pp 562–569.Google Scholar
Xu, Y., Yu, J., Yuan, Y. and Gu, W. Adaptive fuzzy sliding-mode controller for BTT missile, Control, Automation, Robotics and Vision Conference, IEEE, 2004. 2, pp 1222–1226. doi:10.1109/ICARCV.2004.1469019.Google Scholar
Pisano, A. and Elio, U. Sliding mode control: a survey with applications in math, Mathematics and Computers in Simulation, 2011, 81, (5), pp 954–979. doi: 10.1016/j.matcom.2010.10.003.CrossRefGoogle Scholar
Kumar, S.R., Rao, S. and Ghose, D. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints. Journal of Guidance, Control, and Dynamics, 2012, 35, (4), pp 1230–1246. doi: 10.2514/1.55242.CrossRefGoogle Scholar
Zhou, D., Mu, C. and Xu, W. Adaptive sliding-mode guidance of a homing missile. Journal of Guidance, Control, and Dynamics, 1999, 22, (4), pp 589–594. doi: 10.2514/2.4421.CrossRefGoogle Scholar
Wang, Z., Li, S.H., and Fei, S.M. Finite-time tracking control of bank-to-turn missiles using terminal sliding mode, ICIC Express Letters, 2009, 3, (3), pp 1–6.Google Scholar
Chen, M., Wu, Q.X. and Cui, R.X. Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems, ISA transactions, 2013, 52, (2), pp 198–206. doi: 10.1016/j.isatra.2012.09.009.CrossRefGoogle ScholarPubMed
Yu, S. and Long, X. Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode, Automatica, 2015, 54, pp 158–165. doi: 10.1016/j.automatica.2015.02.001.CrossRefGoogle Scholar
Khoo, S., Xie, L., Zhao, S. and Man, Z. Multi-surface sliding control for fast finite-time leader-follower consensus with high order SISO uncertain nonlinear agents, International Journal of Robust and Nonlinear Control, 2014, 24, (16), pp 2388–2404. doi: 10.1002/rnc.2997.CrossRefGoogle Scholar
Mobayen, S. Fast terminal sliding mode controller design for nonlinear second-order systems with time-varying uncertainties, Complexity, 2015, 21, (2), pp 239–244. doi: 10.1002/cplx.21600.CrossRefGoogle Scholar
Wang, X. and Wang, J. Partial integrated missile guidance and control with finite time convergence, Journal of Guidance, Control, and Dynamics, 2013, 36, (5), pp 1399–1409. doi: 10.2514/1.58983.CrossRefGoogle Scholar
Kumar, S.R., Rao, S. and Ghose, D. Non-singular terminal sliding mode guidance and control with terminal angle constraints for non-maneuvering targets, 2012 12th International Workshop on Variable Structure Systems, 2012, pp 291–296. doi: 10.1109/VSS.2012.6163517. CrossRefGoogle Scholar
Zhao, L.W. and Hua, C.C. Finite-time consensus tracking of second-order multi-agent systems via nonsingular TSM, Nonlinear dynamics, 2014, 75, (1–2), pp 311–318. doi: 10.1007/s11071-013-1067-5.CrossRefGoogle Scholar
Polyakov, A. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 2012, 57, (8), pp 2106–2110. doi: 10.1109/tac.2011.2179869.CrossRefGoogle Scholar
Zuo, Z. Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 2015, 54, pp 305–309. doi: 10.1016/j.automatica.2015.01.021.CrossRefGoogle Scholar
Zuo, Z. Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory & Applications, 2014, 9, (4), pp 545–552. doi: 10.1049/iet-cta.2014.0202.CrossRefGoogle Scholar
Jiang, B., Hu, Q. and Friswell, M.I. Fixed-time attitude control for rigid spacecraft with actuator saturation and faults. IEEE Transactions on Control Systems Technology, 2016, 24, (5), pp 1892–1898. doi: 10.1109/TCST.2016.2519838.CrossRefGoogle Scholar
Fu, J. and Wang, J. Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties. Systems & Control Letters, 2016, 93, pp 1–12. doi: 10.1016/j.sysconle.2016.03.006.CrossRefGoogle Scholar
Awad, A. and Wang, H. Roll-pitch-yaw autopilot design for nonlinear time-varying missile using partial state observer based global fast terminal sliding mode control. Chinese Journal of Aeronautics, 2016, 29, (5), pp 1302–1312. doi: 10.1016/j.cja.2016.04.020.CrossRefGoogle Scholar
Wang, F., Zong, Q., Dong, Q. and Tian, B. Disturbance observer-based sliding mode backstepping control for a re-entry vehicle with input constraint and external disturbance. Transactions of the Institute of Measurement and Control, 2016, 38, (2), pp 165–181. doi: 10.1177/0142331215572417.CrossRefGoogle Scholar
Zhou, D., Sun, S. and Teo, K.L. Guidance laws with finite time convergence. Journal of Guidance, Control, and Dynamics, 2009, 32, (6), pp 1838–1846. doi: 10.2514/1.42976.CrossRefGoogle Scholar
Cruz-Zavala, E., Moreno, J.A. and Fridman, L. Uniform sliding mode controllers and uniform sliding surfaces. IMA Journal of Mathematical Control and Information, 2012, 29, (4), pp 491–505. doi: 10.1109/CDC.2011.6160493.CrossRefGoogle Scholar