2004 |
Juhoon Back / Jin Heon Seo Immersion of non-linear systems into linear systems up to output injection: characteristic equation approach Journal Article In: International Journal of Control, vol. 77, no. 8, pp. 723-734, 2004, ISSN: 0020-7179. Abstract | Links | BibTeX | Tags: Non-Linear Systems @article{BackSeo04, There exists a class of non-linear systems which cannot be transformed into non-linear observer form via diffeomorphism, but can be immersed into higher dimensional non-linear observer form. This paper investigates when n dimensional non-linear systems can be immersed into (n + m)-dimensional non-linear systems in non-linear observer form, and provides a necessary and sufficient condition. We also present an algorithm to check the immersibility. In general, at the first step of the algorithm, one should solve a differential equation with m + 1 unknowns rather than solving one with n + m unknowns simultaneously. When a solution to the differential equation can be obtained, the immersibility can be checked by a recursive algorithm. Moreover, when 2m ≤ n, a straightforward algorithm is provided to check the immersibility. |
2000 |
Nam Hoon Jo / Jin Heon Seo Local separation principle for non-linear systems Journal Article In: International Journal of Control, vol. 73, no. 4, pp. 292-302, 2000, ISSN: 0020-7179. Abstract | Links | BibTeX | Tags: Non-Linear Systems @article{JoSeo00c, In this paper, we consider the problem of locally stabilizing non-linear systems by output feedback control. To be precise, the separation principle for non-linear systems are studied, which allows the design of the control law and the observer to be carried out independently. While the previous results assumed the existence of Lyapunov function for the observation error, we assume the existence of a state observer which asymptotically estimates the true state. As a matter of fact, it turns out that the latter condition is necessary for the former condition, but the converse is not true. The separation principle with the reduced order observer is also presented. Under the assumption that a non-linear system has asymptotically stable zero dynamics and is locally detectable, it is shown that the asymptotic output tracking by output feedback control can be achieved. |
List of English Publication
2004 |
Immersion of non-linear systems into linear systems up to output injection: characteristic equation approach Journal Article In: International Journal of Control, vol. 77, no. 8, pp. 723-734, 2004, ISSN: 0020-7179. |
2000 |
Local separation principle for non-linear systems Journal Article In: International Journal of Control, vol. 73, no. 4, pp. 292-302, 2000, ISSN: 0020-7179. |