Article

Fuzzy feedback system analysis using transition matrices

Laboratorio de Procesado de Imagen (LPI), ETSI Telecomunicación, University of Valladolid, Spain
Fuzzy Sets and Systems (Impact Factor: 1.75). 01/2006; DOI: 10.1016/j.fss.2005.07.002
Source: DBLP

ABSTRACT An analytical characterization of fuzzy feedback systems based on transition matrices is carried out in this paper. The analysis faces both systems which use linear operators (sum and product) and those based on the max–min operators. We focus on the asymptotic trend of the system when the external input is held constant; such study becomes a matrix convergence problem by means of the transition matrices that define the system behavior. For the non-linear case a sufficient condition of convergence of the system (that, in particular, avoids oscillations) is demonstrated.

0 Bookmarks
 · 
40 Views
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we propose a new method for collision handling between 3-D deformable (organs) and rigid (surgical tools) objects valid for nonstructured interaction scenes and, specifically, for laparoscopic surgery simulators. During the simulation step, vertices of the organ detected as collided must be accurately shifted out of the tool to elude a visual interpenetration. The proposed approach obtains the new position of each collided vertex of the organ taking into account both kinematic information of the surgical tool and geometric information of the organ surface that surrounds the vertex under analysis. Three parameters inferred from a fuzzy feedback system weigh the nature of the tool motion with respect to the organ. Experimental results show that the solution proposed in this paper is able to avoid the interpenetration among the multiple colliding points efficiently with physically and spatially coherent results.
    IEEE transactions on information technology in biomedicine: a publication of the IEEE Engineering in Medicine and Biology Society 01/2009; 13:451-457. · 1.69 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: A matrix procedure to obtain a hierarchical decomposition of a multiple-input-single-output (MISO) fuzzy system is proposed. It is based on the fast inference using transition matrices (FITM) framework recently described. The resulting hierarchical system is totally equivalent to the original one in terms of input-output relation. A study of the rule-reduction capability of this system is carried out. Additionally, this paper describes a rule-base definition procedure of each of the systems resulting within the hierarchy. This procedure is based on closed-form analytical expressions and it does not need any manual interaction.
    IEEE Transactions on Fuzzy Systems 07/2008; · 5.48 Impact Factor