Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-29T00:47:01.629Z Has data issue: false hasContentIssue false
  • English
  • Français

Two-channel pitch/yaw missile autopilot design using arbitrary order sliding modes based pole placement

Published online by Cambridge University Press:  27 January 2016

B. Kada
B. Kada*
Affiliation:
King Abdulaziz University, Department of Aeronautical Engineering, Jeddah, Saudi Arabia
*
bkada@kau.edu.sa
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper presents a new missile autopilot system design. The design is achieved through the pole-placement in quasi-continuous high-order sliding mode gains adjustment. Enhanced performance, strong robustness and smooth control are obtained through arbitrary increase of the number of non-oscillatory stable poles. The target application of this technique the two-channel pitch/yaw missile autopilot system is considered. Numerical simulations indicate that the arbitrary-order sliding modes based pole placement’s performance compares favourably against recently proposed high-order pole placement schemes.

The proposed arbitrary-order pole placement scheme presents a promising design tool for finite-time stabilisation and control of uncertain multivariable systems.

Type
Research Article
Information
The Aeronautical Journal , Volume 119 , Issue 1216 , June 2015 , pp. 765 - 779
Copyright
Copyright © Royal Aeronautical Society 2015

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

1.Rami, M.A., Faiz, S.E., Benzaouia, A. and Tadeo, F.Robust exact pole placement via an LMI-based algorithm, IEEE Transactions on Automatic Control, 2009, 54, pp 394–398.CrossRefGoogle Scholar
2.Jian, X. and Fuzhong, W.For a class of uncertain linear systems robust reliable poles placement in disk regions, Computing technology and automation, 2010, 29, (3), pp 1–5.Google Scholar
3.Ataei, M. and Enshaee, A.Eigenvalue assignment by minimal state-feedback gain in LTI multivariable systems, Int J Control, 2011, 84, pp 1956–1964.CrossRefGoogle Scholar
4.Helmy, T. and Abdelaziz, S.Robust pole placement for second-order linear systems using velocity-plus-acceleration feedback, IET Control Theory & Applications, 2013, 7, (14), pp 1843–1856.Google Scholar
5.Li, T. and Chu, E.K-W.Pole assignment for linear and quadratic systems with time-delay in control, Numerical linear Algebra with Applications, 2013, 20, pp 291–301.CrossRefGoogle Scholar
6.Mao, X. and Dai, H.Partial Eigenvalue assignment with time-delay robustness, Numerical Algebra, Control and Optimization, 2013, 3, (2), pp 207–221.CrossRefGoogle Scholar
7.Schmid, R., Pandey, A. and Nguyen, T.Robust pole placement with Moore’s algorithm, IEEE Transactions on Automatic Control, 2014, 59, pp 500–505.CrossRefGoogle Scholar
8.Ntogramatzidis, L. and Schmid, R.Robust eigenstructure assignment in geometric control theory, SIAM J on Control and Optimization, 2014, 52, (2), pp 960–986.CrossRefGoogle Scholar
9.Le, X. and Wang, J.Robust pole assignment for synthesizing feedback control systems using recurrent neural networks, IEEE Transactions on Neural Networks and Learning Systems, 2014, 25, (2), pp 383–393.CrossRefGoogle ScholarPubMed
10.Rami, M.A., Faiz, S.E. and Benzaouia, A.Robust Exact Pole Placement via an LMI-Based Algorithm, IEEE Transactions on Automatic Control, 2009, 54, (2), pp 394–398.CrossRefGoogle Scholar
11.Misrikhanov, M.S. and Ryabchenko, V.N.Pole placement in large dynamical systems with many inputs and outputs, Doklady Mathematics, 2011, 84, (1), pp 591–593.CrossRefGoogle Scholar
12.Datta, S., Chakraborty, D. and Chaudhuri, B.Partial pole placement with controller optimization, IEEE Transactions on Automatic Control, 2012, 57, (4), pp 1051–1056.CrossRefGoogle Scholar
13.Helmy, T. and AbdelAziz, S.Robust pole placement for second-order linear systems using velocity-plus-acceleration feedback, IET Control Theory Applications, 2013, 7, (14), pp 1843–1856.Google Scholar
14.Zubov, N.E., Mikrin, E.A., Misrikhanov, M.S. and Ryabchenko, V.N.Modifcation of the exact pole placement method and its application for the control of spacecraft motion, J Computer and Systems Sciences International, 2013, 52, (2), pp 279–292.CrossRefGoogle Scholar
15.Aruna, B. and Devanathan, R.Modifed N-P interpolation theory for closed loop pole placement, Asian J Control, 2014, pp 1–9.Google Scholar
16.Chekhozadskikh, A.V.Extremal pole placement in control systems with a low order controller, Automation and Remote Control, 2014, 75, (10), pp 1717–1731.CrossRefGoogle Scholar
17.Miller, D.E. and Vale, J.R.Pole placement adaptive control with persistent jumps in the plant parameters, Mathematics of Control, Signals and Systems, 2014, 26, pp 177–214.CrossRefGoogle Scholar
18.Datta, S. and Chakraborty, D.Feedback norm minimisation with regional pole placement, International J Control, 2014, 87, (11), pp 2239–2251.Google Scholar
19.Le, X. and Wang, J.Robust Pole assignment for synthesizing feedback control systems using recurrent neural networks, IEEE Transactions on Neural Networks and Learning Systems, 2014, 25, (2), pp 383–393.CrossRefGoogle ScholarPubMed
20.Pandey, A., Schmid, S., Nguyen, N., Yang, Y., Sima, V. and Tits, A.L.performance survey of robust pole placement methods, IEEE Conference on Decision and Control, 2014, Los Angeles, California, USA.Google Scholar
21.Pyragas, V. and Pyragas, K.Continuous pole placement method for time-delayed feedback controlled systems, The European Physical Journal B, 2014, 87, (274), pp 1–10.CrossRefGoogle Scholar
22.Schmid, R., Pandey, A. and Thang, N.Robust pole placement with moore’s algorithm, IEEE Transactions On Automatic Control, 2014, 59, (2), pp 500–505.CrossRefGoogle Scholar
23.Schmid, R., Ntogramatzidis, L., Nguyen, T. and Pandey, A.A unified method for optimal arbitrary pole placement, Automatica, 2014, 50, pp 2150–2154.CrossRefGoogle Scholar
24.Ackermann, J. and Utkin, V.Sliding mode control design based on Ackermann’s formula, IEEE Transactions on Automatic Control, 1998, 43, (2), pp 234–237.CrossRefGoogle Scholar
25.Meza, M.E.M. and Bhaya, A.Zero-placement approach to the design of sliding surfaces for linear multivariable systems, IEE Proceedings - Control Theory and Applications, 2001, 148, (5), pp 333–339.CrossRefGoogle Scholar
26.Ha, P.O., Trinh, H. and Nguyen, H.T.Dynamic output feedback sliding-mode control using pole placement and linear functional observers, IEEE Transactions on Industrial Electronics, 2003, 50, (5), pp 1030–1037.CrossRefGoogle Scholar
27.Singla, M., Shieh, L.S., Song, S., Xie, L. and Zhang, Y.A new optimal sliding mode controller design using scalar sign function, ISA Transactions, 2014, 53, pp 267–279.CrossRefGoogle ScholarPubMed
28.Cruz-Zavala, E., Moreno, J.A. and Fridman, L.M., Adaptive Gains Super-Twisting Algorithm for Systems with Growing Perturbations, Preprints of the 18th IFAC World Congress Milano (Italy), 28 August 2011 – 2 September 2011, pp 3039–3044.CrossRefGoogle Scholar
29.Khandekar, A.A., Malwatkar, G.M. and Patre, B.M.Discrete sliding mode control for robust tracking of higher order delay time systems with experimental application, ISA Transactions, 52, 2013, pp 36–44.CrossRefGoogle ScholarPubMed
30.Parkhi, P., Bandyopdhyay, B. and Jhaa, M.Roll control using discrete-time robust sliding hyperplanes and fast output sampling, J the Franklin Institute, 2014, 351, (4), pp 2107–2124.CrossRefGoogle Scholar
31.Levant, A.Quasi-continuous high-order sliding-mode controllers, IEEE Transactions on Automatic Control, 2005, 50, (11), pp 1812–1816.CrossRefGoogle Scholar
32.Levant, A. and Livne, M.Uncertain disturbances attenuation by homogeneous multi-input multi-output sliding mode control and its discretisation, IET Control Theory & Applications, 2015, pp 1–11.Google Scholar
33.Kada, B.A novel higher-order sliding mode control scheme for uncertain nonlinear systems: short-period missile control application, Int J Sciences: Basic and Applied Research (IJSBAR), 2015, 19, (1), pp 398–409.Google Scholar
34.Kada, B.Arbitrary-order sliding-mode-based homing-missile guidance for intercepting highly maneuverable target, J Guidance, Control and Dynamics, 2014, 37, (6), pp 1999–2013.CrossRefGoogle Scholar
35.Wang, J., Zong, Q., Tian, B. and Wang, F. Flight control for hypersonic vehicle based on quasi-continuous integral high-order sliding mode, 24th Chinese Control and Decision Conference, 2012, pp 2185–2190.CrossRefGoogle Scholar
36.Zang, X. and Tang, S. Combined Feedback Linearization and Sliding Mode Control for Reusable Launch Vehicle Reentry, 2012, 12th International Conference on Control, Automation, Robotics & Vision, pp 1175–1180CrossRefGoogle Scholar
37.Pukdeboon, C., Zinober, A.S.I. and Thein, M.W.L.Quasi-continuous higher order sliding-mode controllers for spacecraft-attitude-tracking manoeuvres, IEEE Transactions on Industrial Electronics, 2010, 05, pp 215–220.Google Scholar
38.Wang, J., Zong, Q., Tian, B. and Wang, F.Flight control for a fexible air-breathing hypersonic vehicle based on quasi-continuous high-order sliding mode, J Systems Engineering and Electronics, 24, (2), pp 288–295.CrossRefGoogle Scholar
39.Hernández, D., Castaños, F. and Fridman, L.M. Pole-placement in higher-order sliding-mode control, Preprints of the 19th IFAC World Congress, 24-29 August 2014, pp 1386–1391.CrossRefGoogle Scholar
40.Khan, Q. and Bhatti, A.I.Robust dynamic integral sliding mode for MIMO nonlinear systems operating under matched and unmatched uncertainties, Control Engineering and Applied Informatics, 2014, 16, (4), pp 107–117.Google Scholar
41.Levant, A. and Michael, A.Adjustment of high-order sliding-mode controllers, International J Robust and Nonlinear Control, 2009, 19, pp 1657–1672.CrossRefGoogle Scholar
42.Estrada, A. and Fridman, L.Quasi-continuous HOSM control for systems with unmatched perturbations, Automatica, 2014, 46, (11), pp 1916–1919.CrossRefGoogle Scholar
43.Byrnes, C.I. and Isidori, A.Asymptotic stabilization of minimum phase nonlinear systems, IEEE Transaction on Automatic Control, 1991, 36, pp 1122–1137.CrossRefGoogle Scholar
44.Tan, F., Hou, M. and Zhao, H. Autopilot design for homing missiles considering guidance loop dynamics, 2nd International Conference on Intelligent Control and Information Processing (ICICIP), 2011.CrossRefGoogle Scholar