In general, due to the interactions among subsystems, it is difficult to design an decentralized controller for nonlinear interconnected systems. In this study, the model reference tracking control problem of nonlinear interconnected systems is studied via decentralized fuzzy control method. First, the nonlinear interconnected system is represented by an equivalent Takagi–Sugeno type fuzzy mode...

In 1993, Yang first extended the classification maximum likelihood (CML) to a so-called fuzzy CML, by combining fuzzy c-partitions with the CML function. Fuzzy c-partitions are generally an extension of hard c-partitions. It was claimed that this was more robust. However, the fuzzy CML still lacks some robustness as a clustering algorithm, such as its inability to detect different volumes of cl...

Non-commutative Euclidean scalar field theory is shown to have an eigenvalue sector which is dominated by a well-defined eigenvalue density, and can be described by a matrix model. This is established using regularizations of R2n θ via fuzzy spaces for the free and weakly coupled case, and extends naturally to the non-perturbative domain. It allows to study the renormalization of the effective ...

Using the concept of (K,L)-eigenvector, we investigate structure max-min eigenspace associated with a given eigenvalue matrix in algebra (also known as fuzzy algebra). In our approach, is split into several regions according to order relations between and components x. The resulting theory (K,L)-eigenvectors, being based on fundamental results Gondran Minoux, allows describe whole explicitly mo...

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy sphere. We use a novel algorithm which strongly reduces the correlation problems in the matrix update process, and allows the investigation of different regimes of the model in a precise and reliable way. We study the modes associated to different momenta and the rôle they play in the “striped phase”, point...

in this paper, a fundamentally new method, based on the denition, is introduced for numerical computation of eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. some examples are provided to show the accuracy and reliability of the proposed method. it is shown that the proposed method gives other sequences than that of existing methods but they still are convergent to t...

A robust tracking control design for wheeled vehicle systems with trailer, based on adaptive fuzzy elimination technique, is proposed in this study. A minimax control equipped with adaptive fuzzy elimination scheme is used to achieve a robust tracking performance, despite the system uncertainties and external disturbance. The design procedure is divided into three steps. First, a nominal wheele...