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Original Articles

Robust analysis of flatness based control using interval methods

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Pages 816-823 | Received 21 Dec 2005, Accepted 10 Jan 2007, Published online: 06 Oct 2010

References

  • Banerjee , A , Arkun , Y , Ogunnaike , BA and Pearson , RK . 1997 . Estimation of nonlinear systems using linear multiple models . AIChe J. , 43 : 1204 – 1226 .
  • Berz , M and Makino , K . 1998 . Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models . Reliable Computing , 4 : 361 – 369 .
  • Cazaurang , F . 1997 . “ Commande robuste des systeme plats. Applications a la Commande d’une machine synchrone ” . Universite de Bordeaux I . PhD Thesis
  • Deville , Y , Janssen , M and van Hentenryck , P . 2002 . Consistency techniques for ordinary differential equations . Constraint , 7 : 289 – 315 .
  • Fliess , M , Lévine , J , Martin , P and Rouchon , P . 1995 . Flatness and defect of nonlinear systems: introductory theory and examples . Int. J. Cont. , 61 : 1327 – 1361 .
  • Fliess , M , Lévine , J , Martin , P and Rouchon , P . 1999 . A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems . IEEE Trans. Aut. Cont. , 44 : 922 – 937 .
  • Hagenmeyer , V and Delaleau , E . 2001 . “ Exact feedforward linearisation based on differential flatness: the SISO case ” . In Nonlinear and Adaptive Control (NCN4 2001), Lecture notes in Control and Information Sciences , Vol. 281 , 161 – 170 . Berlin : Springer .
  • Hagenmeyer , V and Delaleau , E . 2003 . Robustness analysis of exact feedforward linearization based on differential flatness . Automatica , 39 : 1941 – 1946 .
  • Kletting , M , Rauh , A , Aschemann , H and Hofer , EP . 2005 . Consistency techniques for simulation of wastewater treatment processes with uncertainties . 2005 , Prague, Czech Republic. pp. 287 – 293 . Proc. IFAC World Congress 2005 .
  • Lévine , J . 1999 . “ Are there new perspectives in the control of mechanical systems? ” . In Advances in Control (Highlights of ECC’99) , Edited by: Frank , PM . 197 – 226 . Berlin : Springer .
  • Martin , P , Murray , RM and Rouchon , P . 1997 . “ Flat systems ” . In Plenary Lectures and mini courses, European Control Conference , Edited by: Bastin , G and Gevers , M . 211 – 264 . Belgium : Brussels .
  • McAuley , KB and MacGregor , JF . 1992 . Optimal grade transitions in a gas phase poly ethylene reactor . AIChe J. , 38 : 1564 – 1576 .
  • Nedialkov , NS and Jackson , KR . 2001 . Methods for initial value problems for ordinary differential equations . Perspectives on Enclosure Methods , : 219 – 264 .
  • Perez , H , Ogunnaike , B and Devasia , S . 2002 . Output tracking between operating points for nonlinear processes: van de vusse example . IEEE Trans. Contr. Syst. Techn. , 10 : 611 – 617 .
  • Rauh , A , Kletting , M , Aschemann , H and Hofer , EP . 2004 . Application of interval arithmetic simulation techniques to wastewater treatment processes . Proc. MIC 2004 . 2004 , Grindelwald, Switzerland. pp. 287 – 293 .
  • Rauh , A , Kletting , M , Aschemann , H and Hofer , EP . 2005 . Robust controller design for bounded state and control variables and uncertain parameters using interval methods . Proc. ICCA 2005 . 2005 , Budapest, Hungary.
  • Sira-Ramirez , H and Agrawal , SK . 2004 . Differentially Flat Systems , New York : Marcel Dekker .
  • Walter , E and Kieffer , M . 2004 . Guaranteed nonlinear parameter or state estimation for knowledge-based models . Proc. SCAN 2004, Journal of Computational and Applied Mathematics , : 187 – 198 .

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