Title :
Stabilization of positive Takagi-Sugeno systems with unmeasurable premise variables
Author :
Zaidi, Ines ; Tadeo, Fernando ; Chaabane, Mohamed
Author_Institution :
Dept. of Syst. Eng. & Autom., Univ. of Valladolid, Valladolid, Spain
Abstract :
This paper is devoted to the stabilization of positive Takagi-Sugeno (T-S) systems with unmeasurable premise variables in the continuous case. More precisely, two approaches have been presented. The first approach is based on a representation of the estimation error by that of the case where the decision variables are measurable but affected by disturbance. In the second approach, the expression of the estimation error involves the bound of the state variables´ vector and the bound of the input vector. An application example is designed to illustrate the results and compare the effectiveness of both approaches.
Keywords :
fuzzy control; stability; T-S system; decision variables; estimation error representation; positive Takagi-Sugeno system; stabilization; state variable; unmeasurable premise variables; Estimation error; Linear matrix inequalities; Observers; Stability analysis; Symmetric matrices; Takagi-Sugeno model;
Conference_Titel :
Systems and Control (ICSC), 2015 4th International Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4673-7108-7
DOI :
10.1109/ICoSC.2015.7152783