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Nonlinear Observer Design using Dynamic System Extension  

Jo Nam-Hoon (숭실대 공대 전기제어시스템공학부)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.53, no.11, 2004 , pp. 760-767 More about this Journal
Abstract
In this paper, we propose sufficient conditions under which nonlinear systems can be transformed into nonlinear observer canonical form in the extended state space by virtue of dynamic system extension. The proposed scheme weakens two major restrictions of observer error linearization technique. Once a nonlinear system is transformed into nonlinear observer canonical form using dynamic system extension, a state observer can be easily designed. Two illustrative examples are included in order to compare the proposed scheme and observer error linearization method.
Keywords
Nonlinear System; Observer Error Linearization; Nonlinear Observer Canonical Form; Dynamic System Extension;
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1 B. Charlet, J. Levine, and R. Marino, 'Sufficient Conditions for Dynamic State Feedback Linearization,' SIAM J. Control Optim., vol. 29, no. 1, pp. 38-57, 1991   DOI
2 M. Guay, P.J. Mclellan, and D.W. Bacon, 'A condition for dynamic feedback linearization of controlaffine nonlinear systems,' Int. J. Contr., vol. 68, pp. 87-106, 1997   DOI
3 R. Marino and P. Tomei, Nonlinear Control Design (Prentice Hall, London: 1995)
4 H. Nijmeijer and A.J. van der Schaft, Nonlinear Dynamical Control Systems. Springer-Verlag, Berlin, 1990
5 A. J. Krener, and A. Isidori, 'Linearization by output injection and nonlinear observers,' Systems and Control Letters, vol. 3, pp. 47-52, 1983   DOI   ScienceOn
6 A. J. Krener and W. Respondek, 'Nonlinear observers with linearizable error dynamics,' SIAM Journal on Control and Optimization, vol. 23, pp. 197-216, 1985   DOI   ScienceOn
7 X. H. Xia and W. B. Gao, 'Nolinear observer design by observer error linearization,' SIAM Journal on Control and Optimization, vol. 27, pp. 199-216, 1989   DOI   ScienceOn
8 J. Rudolph and M. Zeitz, 'A block triangular nonlinear observer normal form,' Systems and Control Letters, vol. 23, pp. 1-8, 1994   DOI   ScienceOn
9 N. H. Jo, and J. H. Seo, 'A state observer for nonlinear systems and its application to ball and beam systems,' IEEE Trans. Automat. Contr., vol. 45, pp. 968-973, 2000   DOI   ScienceOn
10 G. Besancon, 'On output transformations for state linearization up to output injection,' IEEE Trans. Automat. Contr., vol. 44, pp. 1975-1981, 1999   DOI   ScienceOn
11 N. H. Jo, and J. H. Seo, 'Input output linearization approach to state observer design for nonlinear systems,' IEEE Trans. Automat. Contr., vol. 45, pp. 2388-2393, 2000   DOI   ScienceOn
12 N. H. Jo and J. H. Seo, 'Observer design for nonlinear systems that are not uniformly observable,' Int. J. Contr., vol. 75, no. 5, pp. 369-380, 2002   DOI   ScienceOn
13 A. Isidori, Nonlinear Control Systems, Springer-Verlag, Berlin, 1989