It is known that several discrete integrals, including the Choquet and Sugeno integrals as well as some of their generalizations, are comonotonically modular functions. Based on a recent description of the class of comonotonically modular functions, we axiomatically identify more general families of discrete integrals that are comonotonically modular, including signed Choquet integrals and symm...

Sugeno integrals are a well-known family of qualitative multiple criteria aggregation operators. The paper investigates how the behavior of these operators can be described in a prioritized propositional logic language, namely possibilistic logic. The case of binary-valued criteria, which amounts to providing a logical description of the fuzzy measure underlying the integral, is first considere...

The paper presents new Takagi-Sugeno fuzzy models for a class of plants characterized by Two Input-Single Output systems providing the fuzzy logic decision on the local model choice. In addition, it is provided a development method for controllers selected by Takagi-Sugeno-based decision rules to control these plants. The models and the development method are applied to speed control of electri...

In this paper, fault tolerant compensation for non-linear plants is addressed. Soft fault detection and isolation is performed for a partial sensor fault detection. New method is proposed that combine model predictive controllers with fuzzy Takagi-Sugeno models. An example is presented that illustrates the functionality of the proposed method. Keywords— Fault tolerant control, Fault detection a...

Robust pole placement in a LMI region for Takagi-Sugeno (Takagi & Sugeno 1985) fuzzy models is presented. The objective is to find a set of Linear Matrix Inequalities in order to ensure that the linear models poles remain in a specified region of the complex plane, even in presence of model uncertainties. As an illustration, the obtained conditions are applied to the spacing policy control of a...

Robust unknown input observer for state and fault estimation in discrete-time Takagi–Sugeno systems Damiano Rotondo, Marcin Witczak, Vicenç Puig, Fatiha Nejjari & Marcin Pazera To cite this article: Damiano Rotondo, Marcin Witczak, Vicenç Puig, Fatiha Nejjari & Marcin Pazera (2016): Robust unknown input observer for state and fault estimation in discrete-time Takagi–Sugeno systems, Internationa...

The paper deals with the problem of nonlinear fuzzy observers for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models with local nonlinear terms. On the basis of the Lyapunov stability criterion and incremental quadratic inequalities, the sufficient LMI design conditions are outlined. Numerical example is given to illustrate the procedure and to validate the perfor...

The paper presents a construction of a multicriteria decision model in a purely ordinal context, based on the use of Sugeno integral. The construction is built on the preference relation of the decision maker over a set of prototypical acts. The construction can cope also with “negative” scores, due to the introduction of a symmetric ordinal scale with suitable operators, which leads to the con...

This paper deals with Takagi-Sugeno modelling and control of nonholonomic mobile robots in the case when the measurements are given by the camera. The measurements in such case are difficult to deal with: they are given only in discrete time samples, usually they are delayed, a high-level noise is present on the measurements. The nonlinear tracking error-model is solved analytically under the p...