Sugeno integral was invented a few decades ago as a natural fuzzy analogue of the classical integral Sugeno integral has many interesting applications It is reasonable to expect that it can be used in all application areas where classical integrals are used and in many such areas it is in deed useful Surprisingly however it has never been used in fuzzy control although in traditional control cl...

This paper deals with the stabilization design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy model-based control systems. A stabilization design based on fuzzy Lyapunov function and a non-parallel distributed compensation (non-PDC) control law has been proposed. Sufficient stabilization conditions are derived. The conditions for the solvability of the state feedback controlle...

Sugeno integral was invented a few decades ago as a natural fuzzy-number analogue of the classical integral. Sugeno integral has many interesting applications. It is reasonable to expect that it can be used in all application areas where classical integrals are used, and in many such areas it is indeed useful. Surprisingly, however, it has never been used in fuzzy control, although in tradition...

Although, in literature various results can be found claiming that fuzzy controllers are universal approximators, recently it was shown [3, 4] that for Sugeno-controllers this property does not hold any longer if the number of the rules is bounded. Namely, it was shown that the set of Sugeno-controllers is nowhere dense in the space of continuous functions. In this paper a generalization of the...

| Sugeno integral was invented a few decades ago as a natural fuzzy analogue of the classical integral. Sugeno integral has many interesting applications. It is reasonable to expect that it can be used in all application areas where classical integrals are used, and in many such areas it is indeed useful. Surprisingly, however, it has never been used in fuzzy control, although in traditional co...

Fuzzy set theory, originally developed by Lotfi Zadeh in the 1960’s, has become a popular tool for control applications in recent years (Zadeh, 1965). Fuzzy control has been used extensively in applications such as servomotor and process control. One of its main benefits is that it can incorporate a human being’s expert knowledge about how to control a system, without that a person need to have...

Fuzzy integrals, in general, and Sugeno integrals, in particular, are well known aggregation operators. They can be used in a great variety of decision making applications. Nevertheless, their use is not easy as their interpretation is not straightforward. In this paper we study the interpretation of fuzzy integrals, focusing on Sugeno ones, and we show their application to fuzzy inference syst...

This paper investigates the application of fuzzy model and generalised predictive control strategy for the construction of a model-based predictive fuzzy controller for non-linear processes. In this method a GPC controller is used with the Takagi Sugeno Kang (TSK) piece-wise fuzzy modeling approach in an adaptive strategy. The developed method is applied to control a continuous stirred tank rea...

Stability analysis and optimality are important in any systems. In the paper, “Optimal Fuzzy Controller Design: Local Concept Approach,” optimal fuzzy controller is design for Takagi–Sugeno fuzzy model. Unfortunately, it seems that some errors are happen and no simple correction can be done. In this paper, we show that some errors exit in the aforementioned paper with simple and clear examples.

This paper presents an approach to formally model Takagi–Sugeno– Kang (TSK) fuzzy systems without the use of any external components. In order to keep the model continuity, the formal simulation model for a TSK fuzzy system is comprised of three types of reusable sub-models involving primitive operations. Thus, the model can be executed even on limited computational platforms, such as embedded ...