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Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function

Chapter


Abstract


  • This paper deals with the problems of the admissibility analysis and control synthesis for polynomial fuzzy singular systems. By the help of the line integral Lyapunov function and an equivalent condition for a matrix inequality, a sufficient admissibility criterion of the polynomial fuzzy singular system is obtained. Furthermore, using a simple technique, the desired controller design method is presented in terms of sum-of-squares to avoid solving complex inequalities. Simulation examples are also provided to illustrate the effectiveness of the proposed methods.

Publication Date


  • 2022

Citation


  • Yang, Y., & Feng, Z. (2022). Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function. In Unknown Book (Vol. 799 LNEE, pp. 762-773). doi:10.1007/978-981-16-5912-6_56

International Standard Book Number (isbn) 13


  • 9789811659119

Scopus Eid


  • 2-s2.0-85116401322

Web Of Science Accession Number


Book Title


  • Lecture Notes in Electrical Engineering

Start Page


  • 762

End Page


  • 773

Abstract


  • This paper deals with the problems of the admissibility analysis and control synthesis for polynomial fuzzy singular systems. By the help of the line integral Lyapunov function and an equivalent condition for a matrix inequality, a sufficient admissibility criterion of the polynomial fuzzy singular system is obtained. Furthermore, using a simple technique, the desired controller design method is presented in terms of sum-of-squares to avoid solving complex inequalities. Simulation examples are also provided to illustrate the effectiveness of the proposed methods.

Publication Date


  • 2022

Citation


  • Yang, Y., & Feng, Z. (2022). Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function. In Unknown Book (Vol. 799 LNEE, pp. 762-773). doi:10.1007/978-981-16-5912-6_56

International Standard Book Number (isbn) 13


  • 9789811659119

Scopus Eid


  • 2-s2.0-85116401322

Web Of Science Accession Number


Book Title


  • Lecture Notes in Electrical Engineering

Start Page


  • 762

End Page


  • 773