This chapter deals with robust nonfragile stabilization and tracking control problems of nonlinear systems described as bilinear Takagi-Sugeno fuzzy systems with parametric uncertainties and external disturbances. Besides, the objective is focused on the design of robust state-feedback controllers such that closed-loop systems are globally asymptotically stable with disturbance attenuation in spite of controllers gains variations. However, the quadratic Lyapunov function, proportional parallel distributed compensation approach, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H_\infty }$$\end{document} synthesis criterion, and linear matrix inequalities techniques are provided to design sufficient stability conditions with decay rate. Finally, a numerical example based on nonlinear mass-spring-damper mechanical system is considered to demonstrate the effectiveness and the performances of the proposed control schemes.
Robust Nonfragile Control Strategies for Bilinear Uncertain Fuzzy Systems Based on Proportional PDC Approach
Studies in Systems, Decision and Control
2023-08-12
18 pages
Article/Chapter (Book)
Electronic Resource
English
Robust control , Stabilization , Bilinear fuzzy systems , <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>H</mi><mi>∞</mi></msub></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${H_\infty }$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula> criterion , Tracking , Nonfragile control Computational Intelligence , Mathematical Modeling and Industrial Mathematics , Complexity , Engineering , Complex Systems , Control, Robotics, Mechatronics
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