in this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented. then a common general forward modeling for them is given and the corresponding inversion problem is presented. then, after showing the inadequacy of the classical analytical and least square methods for these ill posed inverse problems, a baye...

Internal cognitive models are useful methods for the implementation of motor control [1]. The approach can be applied more generally to any intelligent adaptive control problem where the dynamics of the system (plant) is unknown and/or changing. In particular, paired inverse-forward models have been shown successfully to control complex motor tasks using robotic manipulators [1]. One way this i...

In Part I of this paper, fuzzy modeling showed its potential to describe the behavior of the electro-hydraulic system. To verify the possibilities of its application for the system’s learning control, two inverse-model compensation schemes were implemented. This paper describes and discusses the experimental results obtained, showing the feasibility and effectiveness of the learning controllers...

An inverse kinematics solution that utilizes the differential felationship between the joint space and Cartesian space of redmdant manipulators is proposed. Until now, this solution can' be obtained using the pseudo-inverse of the Jacobian matrix. However the computation of the pseudoinverse is complex so that it is not easy to be implemented on a digital computer for on-line motion planning of...

In this paper, we introduce the notions of fuzzy topological subalgebras and ideals in K-algebras, and investigate some of their properties. We also discuss the properties of homomorphic image and inverse image of fuzzy topological ideals of K-algebras.

The pioneer work of image compression/reconstruction based onfuzzy relational equations (ICF) and the related works are introduced. TheICF regards an original image as a fuzzy relation by embedding the brightnesslevel into [0,1]. The compression/reconstruction of ICF correspond to thecomposition/solving inverse problem formulated on fuzzy relational equations.Optimizations of ICF can be consequ...

In this paper, we show that fuzzy theory can explain heuristic methods in inverse problems and numerical computations. As an example of application of these results, we analyze the problem of detecting business cycles from fuzzy data.

The inverse kinematics problem in robotics requires the determination of the joint angles for a desired position of the end-effector. The most important problem in robot kinematics and control is, finding the solution of Inverse Kinematics. If the joint structure of the manipulator is more complex the traditional method such as geometric, iterative and algebraic are inadequate. As the complexit...

In this paper, a method for solving forward and inverse kinematics of redundant manipulator is proposed. Obtaining the joint variables of these manipulators from a desired position of the robot end-effector called as inverse kinematics (IK), is one of the most important problems in robot kinematics and control. The difficulties in solving the IK equations of these redundant robot manipulator ar...

It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, i...