Dynamic surface control for a class of state-constrained non-linear systems with uncertain time delays

Author(s): X.-J. Wu ; X.-L. Wu ; X.-Y. Luo ; X.-P. Guan
DOI: 10.1049/iet-cta.2011.0543

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Author(s): X.-J. Wu ¹ ; X.-L. Wu ² ; X.-Y. Luo ¹ ; X.-P. Guan ¹
- Affiliations: 1: Institute of Electrical Engineering, Yanshan University, Qinhuangdao, People's Republic of China
  2: College of Electrical Engineering and Information, Hebei University of Science and Technology, Shijiazhuang, People's Republic of China
Source: Volume 6, Issue 12, 16 August 2012, p. 1948 – 1957
DOI: 10.1049/iet-cta.2011.0543 , Print ISSN 1751-8644, Online ISSN 1751-8652

The problem of tracking control for a class of uncertain time-delay non-linear system with state constraint is addressed. To prevent constraint violation, the tangent barrier Lyapunov function (TBLF) is firstly used for time-delay non-linear system. By ensuring boundedness of the TBLF in the closed loop, besides those limits are not transgressed, the authors also tackle scenarios wherein parametric uncertainties and time delays are presented. Asymptotically tracking stable in the sense of uniformly ultimate boundedness is achieved without violation of the constraint. Finally, the performance of the proposed control has been illustrated through a chaotic system.

References

1. 1)
  - C. Hua , G. Feng , X. Guan . Robust controller design of a class of nonlinear time delay systems via backstepping method. Automatica , 567 - 573
2. 2)
  - S.S. Ge , H. Fan , T.H. Lee . Robust adaptive control of nonlinear systems with unknown time delays. Automatica , 7 , 1181 - 1190
3. 3)
  - Steele J. Michael . (2004) The Cauchy–Schwarz master class: an introduction to the art of mathematical inequalities.
4. 4)
  - E. Rimon , D.E. Koditschek . Exact robot navigation using artificial potential functions. IEEE Trans. Robot. Autom. , 5 , 501 - 518
5. 5)
  - X.H. Jiao , T.L. Shen , S.Y. Zhang . Further result on robust stabilization for uncertain nonlinear time-delay systems. Acta Autom. Sin. , 2 , 164 - 169
6. 6)
  - D.W.C. Ho , J. Li , Y. Niu . Adaptive neural control for a class of nonlinearly parametric time-delay systems. IEEE Trans. Neural Netw. , 625 - 635
7. 7)
  - K.P. Tee , S.S. Ge , E.H. Tay . Barrier Lyapunov functions for the control of output-constrained nonlinear systems. Automatica , 918 - 927
8. 8)
  - X. Luo , X. Wu , X. Guan . Adaptive backstepping fault-tolerant control for unmatched non-linear systems against actuator dead-zone. IET Control Theory Appl. , 5 , 879 - 888
9. 9)
  - X.M. Sun , J. Zhao , B. Chen . Robust H-infinity reliable control for a class of nonlinear uncertain neutral delay systems. J. Control Theory Appl. , 3 , 222 - 228
10. 10)
  - H.L. Xing , C.C. Gao , D.H. Li . Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay. J. Math. Anal. Appl. , 2 , 689 - 699
11. 11)
  - L. Liu , F.L. Lewis , J. Hang . An asymptotic tracking problem and its application. IEEE Trans. Circuits Syst. I , 9 , 2743 - 2752
12. 12)
  - Z. Zhang , S. Xu , Y. Chu . Adaptive stabilisation for a class of non-linear state time-varying delay systems with unknown time-delay bound. IET Control Theory Appl. , 10 , 1905 - 1913
13. 13)
  - X. Jiao , T. Shen . Adaptive feedback control of nonlinear time-delay systems: the LaSalle–Razumikhin-based approach. IEEE Trans. Autom. Control , 11 , 1909 - 1913
14. 14)
  - X.L. Wu , X.J. Wu , X.Y. Luo , Q.M. Zhu , X.P. Guan . Neural network-based adaptive tracking control for nonlinearly parameterized systems with unknown input nonlinearities. Neurocomputing , 127 - 142
15. 15)
  - X.J. Wu , X.L. Wu , R. Zhen , X.Y. Luo , Q.M. Zhu . Adaptive control for time-delay non-linear systems with non-symmetric input non-linearity. Int. J. Model., Identif. Control , 3 , 152 - 160
16. 16)
  - B. Ren , S.S. Ge , K.P. Tee , T.H. Lee . Adaptive neural control for output feedback nonlinear systems using a barrier lyapunov function. IEEE Trans. Neural Netw. , 8 , 1339 - 1345
17. 17)
  - Wolff, J., Buss, M.: `Invariance control design for constrained nonlinear systems', Proc. 16th IFAC Word Congress, 2005.
18. 18)
  - D. Wang , J. Huang . Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans. Neural Netw. , 1 , 195 - 202
19. 19)
  - Ngo, K.B., Mahony, R., Jiang, Z.P.: `Integrator backstepping using barrier functions for systems with multiple state constraints', Proc 44th IEEE Conf. on Decision and Control, and the European Control Conf., 2005, p. 8306–8312.
20. 20)
  - R. Findeisen , F. Imsland , L. Allgwer , B. Foss . State and output feedback nonlinear model predictive control: an overview. Eur. J. Control , 190 - 207
21. 21)
  - W.L. Li , P.X. Liu . Robust adaptive tracking control of uncertain electrostatic micro-actuators with H-infinity performance. Mechatronics , 5 , 591 - 597
22. 22)
  - Gilbert, E.G., Kolmanovsky, I.: `A generalized reference governor for nonlinear systems', Proc. IEEE Conf. on Decision and Control, 2001, p. 4222–4227.
23. 23)
  - K.P. Tee , S.S. Ge , E.H. Tay . Adaptive control of electrostatic microactuators with bidirectional drive. IEEE Trans. Control Syst. Technol. , 2 , 340 - 352

Dynamic surface control for a class of state-constrained non-linear systems with uncertain time delays

Dynamic surface control for a class of state-constrained non-linear systems with uncertain time delays

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