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|Title: ||Fuzzy control with passivity synthesis for continuous affine Takagi-Sugeno fuzzy systems|
|Authors: ||Wen-Jer Chang;Cheung-Chieh Ku;Wei Chang|
|Keywords: ||Fuzzy control;Fuzzy logic;Iterative methods|
|Issue Date: ||2017-11-15T01:36:33Z
|Publisher: ||International Journal of Intelligent Computing and Cybernetics|
|Abstract: ||Purpose – The purpose of this paper is to propose a stability analysis and control synthesis for
achieving passivity properties of a class of continuous-time nonlinear systems. These nonlinear systems
are represented via continuous affine Takagi-Sugeno (T-S) fuzzy models, which played an important
role in nonlinear control systems. The affine T-S fuzzy models are more approximate than homogeneous
T-S fuzzy models for modeling nonlinear systems. Using the energy concept of passivity theory with
Lyapunov function, the conditions are derived to ensure the passivity and stability of nonlinear systems.
Based on the parallel distribution compensation (PDC) technique, this paper proposes a fuzzy controller
design approach to achieve the passivity and stability for the continuous affine T-S fuzzy systems.
Design/methodology/approach – For solving stability and stabilization problems of affine T-S
fuzzy models, the conversion techniques and passive theory are employed to derive the stability
conditions. By applying the linear matrix inequality technique, a modified iterative linear matrix
inequality algorithm is proposed to determine and update the auxiliary variables for finding feasible
solutions of these stability conditions.
Findings – By studying the numerical example, the proposed design technique of this paper is an
effectiveness and useful approach to design the PDC-based fuzzy controller. From the simulation
results, the considered nonlinear system with external disturbances driven by proposed design fuzzy
controller is stable and strictly input passive.
Originality/value – This paper is interesting for designing fuzzy controller to guarantee the
stability and strict input passivity of affine T-S fuzzy models.
|Relation: ||2(2), pp.386-408|
|Appears in Collections:||[輪機工程學系] 期刊論文|
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