Robust pole placement condition using generalized singular value

일반화된 특이치를 사용한 강인한 극배치 조건

  • Lee, Jun-Hwa (Department of control & Instrumentation Enginering, Seoul city University) ;
  • Gwon, Uk-Hyeon (School of Electical Engineering, Seoul National University)
  • 이준화 (서울시립대학교 공과대학 제어계측공학과) ;
  • 권욱현 (서울대학교 공과대학 전기공학부)
  • Published : 1995.09.01

Abstract

In this paper, generalized singular value is defined. Using the generalized singular value, robust stability conditions and robust pole placement conditions of structured uncertain systems with star shaped uncertainties are derived. Especially, norm bounded and polytopic uncertainty regions are considered as star shaped uncertainty regions. Linear matrix inequality problems are proposed in order to compute the upper bound of the generalized singular value. The proposed linear matrix inequality problems can be solved by using the convex optimization method.

Keywords

References

  1. IEEE Transactions on Automatic Control v.36 Robustness in the presence of mixed parametric uncertainty and unmodelled dynamics M.K.H.Fan;A.L.Tits;J.C.Doyle
  2. IEE Proceedings v.129 Analysis of feedback systems with structured uncertainty J.C.Doyle
  3. Proceedings of the 24th Conference on Decision and Control Structured uncertainty in control system design J.C.Doyle
  4. IEEE Transactions on Automatic Control v.31 Characterization and efficient computation of the structured singular value M.K.H.Fan;A.L.Tits
  5. Proceedings of the American Control Conference Structured singular value with repeated scalar blocks A.K.Packard;J.C.Doyle
  6. Proceedings of the 27th Conference on Decision and Control A power method for the structured singular value A.K.Packard;M.K.H.Fan;J.C.Doyle
  7. IEEE Transactions on Automatic Control v.39 Computational complexity of μ calculation R.P.Braatz;P.M.Young;J.C.Doyle;Manfred Morari
  8. Proceedings of the 30th Conference on Decision and Control Review of LFTs, LMIs, and μ J.C.Doyle;A.Packard;K.Zhou
  9. IEEE Transactions on Automatic Control v.37 Controller design with regional pole constraints W.M.Haddad;D.S.Bernstein
  10. IEEE Transactions on Automatic Control v.40 Pole assignment for uncertain systems disk by state feedback G.Garcia;J.Bernussou
  11. SIAM Linear matrix inequalities in system and control theory S.Boyd;L. El Ghaoul;E.Feron;V.Balakrishnan
  12. Calculus on manifolds Michael Spivak