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The polynomial fuzzy models are capable of modeling complex dynamic systems. They have attracted increasing attention in the recent years as the models of choice for the development of more advanced fuzzy controllers. Little effort has been made to study the models themselves though. Like many other types of models, a polynomial fuzzy model aims at describing the physical system's dynamics based on...
This work concerns different stability approaches for Takagi-Sugeno (T-S) fuzzy systems. We present some recent approaches based on the idea of multiple Lyapunov functions and slack matrices to reduce the conservatism of stability analysis conditions. Then, new stability conditions are proposed in order to more reduce the conservatism using another upper bound of time-derivative of membership functions,...
In this paper, we study asymptotic stability of the Takagi-Sugeno-Kang (TSK) fuzzy PI control system using the circle criterion theorem. We first divide a TSK fuzzy PI controller into a memoryless nonlinear part and a linear dynamic unit, and merge the linear dynamic unit with a linear plant to be controlled and form a new augmented plant. The system is then reconstructed as a new interconnected form...
This paper deals with the networked decentralized control problem for vehicle dynamics stability. Firstly, the nonlinear roll, sideslip, Yaw model of the vehicle dynamics is represented by an interconnected Takagi-Sugeno (TS) fuzzy model. Secondly, using a fuzzy Lyapunov- Krasovskii functional, asymptotic stability sufficient conditions of vehicle behavior through a decentralized networked control...
This paper studies the input-to-state stability (ISS) of nonlinear systems in Takagi-Sugeno's form. Following the definitions and ISS properties proposed by Sontag and Wang [1], a condition in terms of Linear Matrix Inequalities (LMIs) and predefined norm-bounded inputs is derived. Due to the convex property of the weighted sum of input matrices, the input field is bounded and the ISS property holds...
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