Design of a sliding mode controller for decentralised multi-input systems

Author(s): C.-W. Chung and Y. Chang
DOI: 10.1049/iet-cta.2009.0552

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Author(s): C.-W. Chung ¹ and Y. Chang ²
- Affiliations: 1: Department of Electronic Engineering, Far East University, Tainan, Taiwan
  2: Department of Electrical Engineering, Kao Yuan University, Kaohsiung, Taiwan
Source: Volume 5, Issue 1, 6 January 2011, p. 221 – 230
DOI: 10.1049/iet-cta.2009.0552 , Print ISSN 1751-8644, Online ISSN 1751-8652

According to the Lyapunov stability theorem, a design of the multiple-sliding surface (MSS) control scheme for a class of decentralised multi-input perturbed systems is proposed. Some adaptive mechanisms embedded in both the MSS and the robust controller are designed for each subsystem so that the perturbations and the effects of the unknown interconnections can be effectively overcome, and achieve asymptotical stability. This is also achieved without the knowledge of upper bounds of the perturbations except those of the uncertainties in the input gains. Finally, an example of controlling a multimachine is used to demonstrate the feasibility of the proposed methodology.

References

1. 1)
  - C.-H. Chou , C.C. Cheng . A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems. IEEE Trans. Autom. Control , 1213 - 1217
2. 2)
  - S. Xie , L. Xie . Stabilization of a class of uncertain large-scale stochastic systems with time delays. Automatica , 161 - 167
3. 3)
  - H. Guang-Di , H. Guang-Da . Stabilization of an uncertain large-scale time-dependent bilinear neutral differential system by memory feedback control. IMA J. Math. Control Inf. , 1 - 18
4. 4)
  - Y. Chang . Adaptive sliding mode control of multi-input nonlinear systems with perturbations to achieve asymptotical stability. IEEE Trans. Autom. Control , 2863 - 2869
5. 5)
  - J.H. Park , S.G. Lee . Robust decentralized stabilization of uncertain large-scale discrete-time systems. Int. J. Syst. Sci. , 649 - 654
6. 6)
  - X.-G. Yan , C. Edwards , S.K. Spurgeon , J.A.M. Bleijs . Decentralized sliding-mode control for multimachine power systems using only output information. IEE Proc. Control Theory Appl. , 627 - 635
7. 7)
  - J.Y. Hung , W. Gao , J.C. Hung . Variable structure control: a survey. IEEE Trans. Ind. Electron. , 1 , 2 - 22
8. 8)
  - Z.-J. Wu , X.-J. Xie , S.-Y. Zhang . Robust decentralized adaptive stabilization for a class of interconnected systems with unmodelled dynamics. Int. J. Syst. Sci. , 389 - 404
9. 9)
  - R.S. DeCarlo , S. Żak , G. Mathews . Variable structure control of nonlinear multivariable systems: a tutorial. Proc. IEEE , 3 , 212 - 232
10. 10)
  - Z.P. Jiang . Decentralized disturbance attenuating output-feedback trackers for large-scale nonlinear systems. Automatica , 1407 - 1415
11. 11)
  - S. Tong , H.-X. Li , G. Chen . Adaptive fuzzy decentralized control for a class of large-scale nonlinear systems. IEEE Trans. Syst. Man Cybern. B: Cybern. , 770 - 775
12. 12)
  - Z. Xi , G. Feng , D. Cheng , Q. Lu . Nonlinear decentralized saturated controller design for power systems. IEEE Trans. Control Syst. Technol. , 4 , 539 - 547
13. 13)
  - R. Richter , S. Lefebvres , R. DeCarlo . Control of a class of nonlinear systems by decentralized control. IEEE Trans. Autom. Control , 492 - 494
14. 14)
  - J. Zhou , C. Wen . Decentralized backstepping adaptive output tracking of interconnected nonlinear systems. IEEE Trans. Autom. Control , 10 , 2378 - 2384
15. 15)
  - S.S. Ge , C.C. Hang , T. Zhang . Stable adaptive control for nonlinear multivariable systems with a triangular control structure. IEEE Trans. Autom. Control , 1221 - 1225
16. 16)
  - Z.-H. Guan , G. Chen , X. Yu , Y. Qin . Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems. Automatica , 2075 - 2084
17. 17)
  - Y. Zhu , P.R. Pagilla . Decentralized output feedback control for a class of large-scale interconnected systems. IMA J. Math. Control Inf. , 57 - 69
18. 18)
  - Y.W. Tsai , K.K. Shyu , K.C. Chang . Decentralized variable structure control for mismatched uncertain large-scale systems: a new approach. Syst. Control Lett. , 117 - 125

Design of a sliding mode controller for decentralised multi-input systems

Design of a sliding mode controller for decentralised multi-input systems

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