Recently, the Takagi-Sugeno fuzzy controllers [3] have been applied to nonlinear systems (see, for example, [3] and [4]). In these studies, a nonlinear plant was represented by a set of linear models interpolated by membership functions and then a model-based fuzzy controller was developed. This technique seems particularly suitable for the control of complex nonlinear systems since the dynamic...

In this paper, monitoring and sensor fault detection in a waste-water treatment process are discussed. Monitoring is based on the Takagi-Sugeno fuzzy model of a plant process obtained by using Gustafson-Kessel fuzzy clustering algorithm.The paper also explains the principle of the Takagi-Sugeno fuzzy model. The main idea is to cope with the non-linearity of a monitored process. The output of th...

Abstract:The multiple model approach is an elegant and a powerful tool for modelling real-world complex processes. In this modelling framework, a judicious combination of a set of submodels makes it possible to describe the behaviour of a non-linear system. Two different structures of multiple models can be distinguished according to whether the submodels share a common state vector (Takagi-Sug...

This work presents an approximation to the modeling and identification tasks using Fuzzy Inference Systems (FIS) applied to the Benchmark Problem: pH neutralization control in industrial processes. The statement of this problem is taken from a paper that postulates the waste water pH neutralization process as a benchmark approach. The proposed model uses the Takagi-Sugeno FIS type, aiming at fu...

Since the 2-DOF rehabilitation robot actuated by pneumatic muscle actuators (PMAs) has highly nonlinear and time-varying behavior due to gas compression and nonlinear elasticity of bladder containers, it is difficult to achieve excellent control performance using classical control methods. Here, this study proposes a novel Takagi-Sugeno(T-S) fuzzy approach to improve tracking performance. The T...

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...

Analysis and observer design for nonlinear systems have long been investigated, but no generally applicable methods exist as yet. A large class of nonlinear systems can be well approximated by Takagi-Sugeno fuzzy models, for which methods and algorithms have been developed to analyze their stability and to design observers. However, results obtained for Takagi-Sugeno fuzzy models are in general...