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A Study on State Space H2H Controller Using Sliding Mode

슬라이딩 모드를 이용한 상태공간 H2H 제어기에 관한 연구

  • Published : 2003.11.01

Abstract

$H_{\infty}$ control has been applied to the design of practical control systems widely because of its robustness. It can minimize $H_{\infty}$ norm of the transfer function between the desired output and the disturbances. The SMC(Sliding Mode Control) is more robust and give the better performance than the $H_{\infty}$ control if the matching condition is satisfied. A controller which can have the advantages of $H_{\infty}$ control and the SMC is proposed to add the robustness of the SMC to the $H_{\infty}$ controller. Its design is based on the augmented system of which dynamics have one higher order than that of the original system and has the same dynamic as the desired system in spite of uncertainties. The dynamic of proposed sliding surface is the same dynamic as the system controlled by $H_{\infty}$ controller without the uncertainties which satisfy the matching condition.

Keywords

References

  1. J. C. Doyle, K. Zhou, K. Glover, B. Bodenheimer, 'Mixed $H_{\infty}$ and $H_2$ performance objective II : Optimal control', IEEE Trans. of Automatic Control, AC-39, no.8, pp. 1575-1587, 1994 https://doi.org/10.1109/9.310031
  2. D. S. Bernstein, W. M. Haddard, 'LQG Control with an $H_{\infty}$, Performance Bound: A Riccati Equation Approach', IEEE Trans. of Automatic Control, AC-34, pp 293-305, 1989 https://doi.org/10.1109/9.16419
  3. J. H. Ge, P. M. Frank and C. F. Lin, 'Robust $H_{\infty}$ State Feedback Control for Linear Systems with State Delay and Parameter Uncertainty', Automatica, vol.32, no. 8, pp. 1183-1185, 1996 https://doi.org/10.1016/0005-1098(96)00053-2
  4. U. Itkis, Control systems of variable structure, JOHN WILLY & SONS, New York, 1976
  5. V. I. Utkin, 'Variable Structure Systems with Sliding Modes', IEEE Trans. of Automatic Control, vol.22, no.2, pp. 212-222, 1977 https://doi.org/10.1109/TAC.1977.1101446
  6. V. I. Utkin, Sliding modes and their application in vari able structure systems, Moscow, Mir Publishers, 1978
  7. J. Ackermann and V. I. Utkin, 'Sliding mode ntrol design based on Ackermann formular', Proceedings of the IEEE Conference on Decision and Control, Orlando FL, pp. 3622-3627, 1994 https://doi.org/10.1109/CDC.1994.411715
  8. V. I. Utkin, Sliding Modes in Control and Optimization, Springer-Verlag, London, 1992
  9. V. I. Utkin and J. Shi, 'Integral sliding mode in systems operating under uncertainty conditions', Proceedings of the IEEE Conference on Decision and Control, Kobe, Japan, pp. 4591-4696, 1996 https://doi.org/10.1109/CDC.1996.577594
  10. K. Zhou, J. C. Doyle and K. Glover, Robust and Optimal Control, Prentice-Hall, 1996