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Original Articles

Analysis of a multirate sampled-data implementation of a continuous-time, sliding-mode observer/controller pair

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Pages 109-121 | Received 28 Feb 2002, Accepted 23 Jan 2004, Published online: 23 Feb 2007

References

References

  • Clarke , FH , Ledyaev , YS , Sontag , ED and Subbotin , AI . 1997 . Asymptotic controllability implies feedback stabilization . IEEE Transactions on Automatic Control , 42 : 1394 – 1407 .
  • Craven BD 1982 Lebesgue Measure and Integral New York Pitman
  • Desoer CA Vidyasagar M 1975 Feedback Systems: Input–Output Properties New York Academic Press
  • Djenoune , S , El-Moudni , A and Zerhouni , N . 1998 . Stabilization and regulation of a class of nonlinear singularly perturbed system with discretized composite feedback . International Journal of systems science , 29 : 419 – 434 .
  • Edwards , C and Spurgeon , SK . 1994 . Robust nonlinear control of heating plants . Proceedings of IEE , D/144 : 227 – 234 .
  • Edwards C Spurgeon SK 1998 Sliding Mode Control: Theory and Application London Taylor & Francis
  • Golo , G and Milosavljevic , E . 2000 . Robust discrete-time chattering free sliding mode control . Systems and Control Letters , 41 : 19 – 28 .
  • Guilaume , AM , Bastin , G and Campion , G . 1994 . Sampled-data adaptive control of a class of continuous nonlinear systems . International Journal of Control , 60 : 569 – 594 .
  • Herrmann G Spurgeon SK Edwards C 1998 A new non-linear, continuous-time control law using sliding-mode control approaches In Proceedings of the Fifth International Workshop on Variable Structure Systems, Ohio State University, Florida pp. 50–56
  • Herrmann G Spurgeon SK Edwards C 2000 Discretization of a non-linear, exponentially stabilizing control law using an Lp -gain approach In Proceedings of the 39th Conference on Decision and Control Sydney Australia pp. 3398–3403
  • Herrmann , G , Spurgeon , SK and Edwards , C . 2001a . A new approach to discretization applied to a continuous non-linear, sliding-mode-like control using non-smooth analysis . IMA Journal of Mathematical Control and Information , 18 : 161 – 187 .
  • Herrmann , G , Spurgeon , SK and Edwards , C . 2001b . A robust sliding-mode output tracking control for a class of relative degree zero and non-minimum phase plants: a chemical process application . International Journal of Control , 74 : 1194 – 1209 .
  • Herrmann G Spurgeon SK Edwards C 2003 Stability and performance recovery within discretized non-linear control systems In Proceedings of the 41st Conference on Decision and Control Hawai USA pp. 5985–5990
  • Hsu P Sastry S 1987 The effect of discretized feedback in a closed loop system In Proceedings of the 28th Conference on Decision and Control pp. 1518–1523
  • Itkis U 1976 Control Systems of Variable Structure New York Wiley
  • Khalil HK 1992 Nonlinear Systems 2nd edn New York Macmillan
  • Maddox IJ 1970 Elements of Functional Analysis Cambridge Cambridge University Press
  • Mousa , MS , Miller , RK and Michel , AN . 1986 . Stability analysis of hybrid composite dynamical systems: descriptions involving operators and difference equations . IEEE Transactions on Automatic Control , 31 : 603 – 615 .
  • Nešić , D , Teel , AR and Sontag , ED . 1999 . Formulas relating stability estimates of discrete-time and sampled-data nonlinear systems . Systems and Control Letters , 38 : 49 – 60 .

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