A summarized study of the current state-of-the-art of the controlled intelligent systems based on the synergy of the potential of fuzzy logic in Takagy-Sugeno fuzzy systems with the structural flexibility and sustainability of switched nonlinear dynamic systems. In particular, following some of the fundamental theorems on quadratic stability of general nonlinear dynamic systems, due to Zhao and...

For successful trading in financial markets, it is important to develop financial models where one can identify different states of the market for modifying one’s actions. In this paper, we propose to use probabilistic fuzzy systems for this purpose. We concentrate on Takagi–Sugeno (TS) probabilistic fuzzy systems that combine interpretability of fuzzy systems with the statistical properties of...

The paper deals with the problem of synthesis of a controller to the plant described by Takagi-Sugeno fuzzy model with linear input-output submodels in the consequents of rules. A procedure for design of the controller guaranteeing stability of closed-loop system based on polynomial approach is presented. The controller assignes the same characteristic polynomial for all feasible linear subsyst...

To describe expert uncertainty, it is often useful to go beyond additive probability measures and use non-additive (fuzzy) measures. One of the most widely and successfully used class of such measures is the class of Sugeno λ-measures. Their success is somewhat paradoxical, since from the purely mathematical viewpoint, these measures are – in some reasonable sense – equivalent to probability me...

This paper studies the control synthesis problem of Takagi–Sugeno (T–S) fuzzy systems. By splitting the premise variable spaces and using the properties of fuzzy sets, a new control scheme is proposed based on a new class of fuzzy Lyapunov functions, and a convex condition for designing fuzzy controllers is given, where the new fuzzy Lyapunov functions and fuzzy controllers are constructed base...

Mamdani and Takagi-Sugeno fuzzy controllers were prepared. The controllers were designed using Fuzzy Logic Toolbox. The membership functions and rules were used as design tools that give opportunity to model a control surface and controller properties. The control system of d.c. (direct current) motor drive with two feedback loops is considered. First loop is used for stabilization of armature ...

this paper studies the consensus problem of nonlinear leader-following multi-agent systems (mas). to do this, the error dynamics between the leader agent and follower ones are described via a takagi-sugeno (ts) fuzzy model. if the obtained ts fuzzy model is stable, then all of the nonlinear agents reach consensus. the consensus problem is investigated based on the parameterized or fuzzy lyapuno...

This paper looks at a new method of modelling non-l inear dynamic processes, using grid-type Sugeno fuzzy models and a priori knowledge. The proposed hybrid fuzzy convolution dynamic model consists of a non-linear fuzzy steady-state static, and a gain-independent impulse response model-based dynamic part. The modelling of non-linear pH processes is chosen as a realistic case study for the demon...

This paper introduces a new methodology for the damage assessment of existing-transmission structures using six layers, zero order Sugeno model. The model is a hybrid fuzzy-neural system that combines the power of neural networks and fuzzy systems. It is a learning expert system that finds the parameters of the fuzzy sets and fuzzy rules by exploiting approximation techniques from neural networ...