The paper presents development and tuning tehniques and solutions for PI and PID controllers, and Takagi-Sugeno fuzzy controllers with PI and PID type dynamics meant for applications which can be characterised with low order benchmark type modeles (for example electrical and hydraulic driving and positioning systems).Two type of plants and two control structures with homogenous and with non-hom...

On the basis of the Takagi-Sugeno (TS) fuzzy model, this paper discusses in detail the following three problems: (1) output tracking of the nonlinear system; (2) output regulation of the nonlinear system via a state feedback; (3) output regulation of the nonlinear system via a error feedback. Numerical simulations are given to illustrate the soundness of these results and the effectiveness of t...

Daichi Oka, Yasushi Hirose, Shoichiro Nakao, Tomoteru Fukumura, and Tetsuya Hasegawa Department of Chemistry, School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan Department of Chemistry, Graduate School of Science, Tohoku University, 6-3 Azaaoba, Aramaki, Aoba, Sendai 980-8578, Japan Kanagawa Academy of Science and Technology (KAST), 3-2-1 Sakado, Takatsu, Kaw...

In this paper we consider stability analysis and controller design for periodic Takagi-Sugeno fuzzy models. To develop the conditions, we use a switching nonquadratic Lyapunov function defined at the time instants when the subsystems switch. Using the proposed conditions we are able to handle periodic Takagi-Sugeno systems where the local models or even the subsystems are unstable or cannot be ...

This paper deals with the design and evaluation of the performance of fuzzy predictive controller in supervisory mode for a solar-concentration-based power plant, with cylindrical-parabolic solar collectors. For the design of the controller, the inner control loops present in this solar platform are included in the model of the plant. That is, a control loop consisting of a PI plus a feed-forwa...

This paper presents an O(n2) method based on the twisted factorization for computing the Takagi vectors of an n-by-n complex symmetric tridiagonal matrix with known singular values. Since the singular values can be obtained in O(n2) flops, the total cost of symmetric singular value decomposition or the Takagi factorization is O(n2) flops. An analysis shows the accuracy and orthogonality of Taka...

Much has been written about the lack of transparency of computational intelligence models. This paper investigates the level of transparency of the Takagi-Sugeno neuro-fuzzy model and the Neural Network model by applying them to conflict management, an application which is concerned with causal interpretations of results. The neural network model is trained using the Bayesian framework. It is f...

We show that the spectral theorem – which we understand to be a statement every self-adjoint matrix admits certain type of canonical form under unitary similarity analogues over other ∗-algebras distinct from complex numbers. If these contain nilpotents, then it is shown there consistent way in many classic decompositions such as Singular Value Decomposition, Takagi decomposition, skew-Takagi a...