Journal of the Institute of Convergence Signal Processing (융합신호처리학회논문지)

The Korea Institute of Convergence Signal Processing (한국융합신호처리학회)
권호 표지

Robust Nonlinear Control for Minimum Phase Dynamic System by Using VSS

VSS 이론을 활용한 최소위상 비선형 시스템에 대한 강인성연구

  • 임규만 (초당대학교 전자공학과) ;
  • 양명섭 (초당대학교 컴퓨터과학과)
  • Published : 2001.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we proposed the robust control scheme for a class of nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r＜n and zero dynamics is stable. It is also shown that the global asymtotically stability is guaranted. And we verified that the proposed control scheme Is the feasible through a computer simulation.

본 논문에서는 불확실성을 갖는 비선형 시스템에 제어기를 설계하기 위해서 출력제환 선형화 방법을 통하여 비선형 시스템을 선형시스템으로 변환하고 슬라이딩 모드 제어기법을 사용하여 파라미터들을 갱신하고 이를 통하여 제어입력을 갱신하는 강인성제어기를 제안하고자 한다. 비선형시스템은 최소 위상시스템이고, 시스템의 상대차수는 r＜n 이며, 제로 다이나믹스는 안정하다고 가정한다. 제안된 제어기에 대해서 대역적 점근적 안정도가 보장됨을 보였으며, 제안된 제어기에 대해서 컴퓨터 시뮬레이션을 통하여 타당성을 검증하였다.

Keywords

References

  1. Nonlinear Control Systems : An Introduction Isidori, A.
  2. IEEE Trans. Automat. Contr. v.AC-28 The Disturbance Decoupling Problem for Nonlinear Control Systems Nijmeijer, H.;A. J. van der Schaft
  3. Syst. Contr. Lett. v.11 Local stabilization of minimum phase nonlinear systems C. I. Byrnes;A. Isidori
  4. SIAM J. Contr. Opt. v.18 On the synthesis of a stabilizing feedback control via Lie algebaic Methods H. Hermes
  5. Non. Anal. v.12 Stabillization of affine in control nonlinear systems J. Tsinias
  6. SIAM J. Contr. Opt. v.21 ALyapunov-likec haracterization of asymptotic controllability E.D.Sontag
  7. IEEE Trans. Automat. Contr. v.25 Decomposition techniques for large- scale systems with nonadditive interactions: Stability and Stabilizability M.Vidyasagar
  8. Automatica v.28 Nonlinear control design for slightly nonminimum phase systems: Application to V/STOL aircraft Hauser, J.;Sastry, S.;Meyer, G.
  9. IEEE Trans. Automat. Contr. v.36 Systematic design of adaptive controllers for feedback linearizable systems Kanellakopoulos, I.;Kokotovic, P.V.;Morse A. S.
  10. Syst.Contr. v.18 Output tracking control of nonlinear systems with mismatched uncertainties Liao, T. L.;Fu, L. C.;Hsu, C. F.
  11. Syst. Contr. Lett. v.18 Global stabilization of nonlinear systems with a class of unmatched uncertainties Qu, Z.
  12. Variable structure Lyapunov Control Zinober, A. S. I.
  13. IEEE Trans. Automat. Contr. v.34 Almost disturbance decoupling for single-input single-output nonlinear systems Marino R.;Respondek,W.;van der Shaft, A. I.
  14. IEEE Trans. Automat. Contr. v.AC-26 Nolinear Decoupling Via Feedback:A Differential Geometric Approach Isidori, A.;A. J. Krener;C. Gori Giorgi;S. Monaco