2006 |
Juhoon Back / Jin Heon Seo An algorithm for system immersion into nonlinear observer form: SISO case Journal Article In: Automatica, vol. 42, no. 2, pp. 321-328, 2006, ISBN: 0005-1098. Abstract | Links | BibTeX | Tags: Observer design @article{BackSeo06, The class of nonlinear systems that can be put into nonlinear observer form (linear system with output injection) can be broadened if we employ the system immersion. We provide an immersion algorithm for SISO nonlinear systems with relative degree r. The proposed algorithm is an extension of the previous results and does not require the relative degree 1 assumption. In addition, it is seen that the immersion can always be computed via algebraic computations and simple integrations except in a very special case in which the relative degree equals the system dimension (in this case, only one first order differential equation appears in the algorithm). |
2002 |
Nan Hoon Jo / Jin Heon Seo Observer design for nonlinear systems that are not uniformly observable Journal Article In: Journal International Journal of Control, vol. 75, no. 5, pp. 369-380, 2002, ISSN: 0020-7179. Abstract | Links | BibTeX | Tags: Observer design @article{JoSeo02, The observer design problem is studied for a class of single-output non-linear systems that are not necessarily uniformly observable. In the first part of this paper, the non-linear observer canonical form is generalized to the partial non-linear observer canonical form which is quite similar to the decomposition of a linear system into its observable and unobservable states. A necessary and sufficient condition is given for a non-linear system to be transformable into this canonical form by the change of coordinates. Based on this canonical form, a sufficient condition is given for the existence of observers. In the second part, a high gain observer for a class of non-linear systems that are not uniformly observable will be developed in order to relax the system structure of the partial non-linear observer canonical form. To this end, a new canonical form is proposed that generalizes the canonical form of uniform observability and a sufficient condition is provided based on the proposed canonical form. |
List of English Publication
2006 |
An algorithm for system immersion into nonlinear observer form: SISO case Journal Article In: Automatica, vol. 42, no. 2, pp. 321-328, 2006, ISBN: 0005-1098. |
2002 |
Observer design for nonlinear systems that are not uniformly observable Journal Article In: Journal International Journal of Control, vol. 75, no. 5, pp. 369-380, 2002, ISSN: 0020-7179. |