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Hindi Journal of Electrical Engineering and Electronic TechnologyISSN: 2325-9833
Abrar A Author
Subjects of specialization
Affiliation
TS fuzzy systems, Sector nonlinearity
LGEB and LMSE Laboratory, Department of Electrical Engineering, University of Biskra, BP 145, Biskra, Algeria
Biography
This note, we investigate the problem of state feedback controllers for a class of Takagi-Sugeno (TS) Lipschitz nonlinear systems. A simple systematic and useful synthesis method is proposed which based on the use of the Differential Mean Value Theorem (DMVT) and convex theory. The proposed design approach is based on the mean value theorem (MVT) to express the nonlinear error dynamics as a convex combination of known matrices with time varying coefficients as LPV systems.
Publications
Research Article Subscription
Controller Design for Nonlinear Systems using Takagi Sugeno Model: Closed Loop-FOC of IM Motor Application
Author(s): Allag M, Allag A , Abrar A , Zein I and Ayad MY
This note, we investigate the problem of state feedback controllers for a class of Takagi-Sugeno (TS) Lipschitz nonlinear systems. A simple systematic and useful synthesis method is proposed which based on the use of the Differential Mean Value Theorem (DMVT) and convex theory. The proposed design approach is based on the mean value theorem (MVT) to express the nonlinear error dynamics as a convex combination of known matrices with time varying coefficients as LPV systems. Using the Lyapunov theory, stability conditions are obtained and expressed in term of Linear Matrix Inequalities (LMI). The controller gains are then obtained by solving linear matrix ine... view more»
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