Stabilization for multirate sampled-data control systems

멀티레이트 표본 데이타 제어 시스템의 안정화

  • Lee, Sang-Jeong (Dept. of Electronic Engineering, Chungnam National University) ;
  • Kim, Young-Baek (Dept. of Electronic Engineering, Chungnam National University)
  • 이상정 (충남대학교 전자공학과) ;
  • 김영백 (충남대학교 전자공학과, 국방과학연구소)
  • Published : 1996.06.01

Abstract

This paper proposes a stabilizing controller for the multirate sampled-data systems which have a periodic output measurement scheme. A sufficient condition for maintaining observability in the multirate sampled-data system is derived and a design strategy for disturbance rejection is proposed. The proposed controller has IMC structure, and can be decomposed into the disturbance estimator and the inverse of the fast uniform sampled plant. We assume that the plant is open-loop stable and the disturbance consists of a sum of finite number of sinusoids with different frequencies. An example is presented for illustrations.

References

  1. IEEE Control Systems Magazine Development and applications of multirate digital control D.P.Glasson
  2. IEEE Trans. Automat. Contr. v.AC-33 no.9 Stability theory for linear time-invariant plants with periodic digital controllers B.A.Francis;T.T.Georgiou
  3. IEEE Trans. Automat. Contr. v.AC-30 no.11 Robust control of linear time invariant plants using periodic compensation P.P.Khargonekar;K.Poolla;A.Tannenbaum
  4. Systems and Control Letters v.19 A dual rate digital compensator for zero assignment C.Zhang
  5. IEEE Trans. Automatic. Contr. v.AC-33 no.9 Block multirate input-output model for sampled-data control systems P.Alberto
  6. IEEE Trans. Automat. Contr. v.AC-33 Two delay robust digital control and its applications avoiding the problem on unstable zeros T.Mita;Y.Childa;Y.Kaku;H.Namasato
  7. IEEE Trans. Automat. Contr. v.AC-35 A new class of shift varying operators, their shift-invariant equivalents and multirate digital systems D.G.Meyer
  8. Chem. Eng. Sci. v.34 Structure analysis of periodically controlled chemical process K.Onogi;M.Matsubara
  9. Chem. Eng. Sci. v.38 Periodical operation of chemical process and evaluation of conversion improvements K.Schadlich;U.Hoffman;H.Hoffman
  10. Automatica v.12 Coating mass control design for a continuous galvanizing line W.J.Edwards(et al.)
  11. Pulp and Paper Canada v.87 no.4 A process model of moisture variations C.Lindenborg
  12. IEEE Trans. Automat. Contr. v.AC-37 no.1 Optimal and robust controllers for periodic and multriate systems M.A.Dahleh;P.G.Voulgaris;L.S.Valavani
  13. Proc. 29th Conf. Decision Contr. Periodic regulators with incomplete and noisy measurements S.Bittanti;P.Colani;G.De,Nicolao
  14. Proc. 29th Conf. Decision Contr. H state estimation for linear periodic systems L.Xie;C.E.Souza
  15. IEEE Trans. Automat. Contr. v.AC-35 no.2 A parameterization of stabilization controllers for multirate sampled-data systems D.G.Meyer
  16. IEEE Trans. Automat. Contr. v.AC-35 no.11 Controller parameterization for time-varying multirate plants R.Ravi;P.P.Khargonekar;K.D.Minto;C.N.Nett
  17. Ind. Eng. Chem. Process Des. Dev. v.21 no.2 Internal model control. 1. a unifying review and some new results C.E.Garcia;Manfred Morari
  18. Linear System Theory and Design C.T.Chen
  19. Proc. IEEE v.65 no.11 The Shannon sampling theorem-its various extensions and applications: a tutorial review Abidal,J.Jerry
  20. IEEE Trans. Automat. Contr. v.29 no.2 Convergence properties of the Riccati difference equation in optimal filtering of nonstabilization systems S.W.Chan;G.C.Goodwin;K.S.Sin