الفهرس 
An Overview of Bilinear SystemsOnly 14 pages are availabe for public view
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Abstract
In this thesis, the design of controllers for a class of bilinear systems is
developed. Bilinear systems and controls have been widely applied to a wide
variety of fields, for example, fields of engineering, biology, and economics. A
bilinear system situates between nonlinear and linear systems, and its dynamics
is simpler than that of nonlinear systems. The controller fragility is described as
the sensitivity of the controller to variations in controller parameters. The
proposed methods lead to the synthesis of non-fragile controller towards a
special form of uncertainty in the controller parameters. Also, Takagi-Sugeno
(T-S) bilinear fuzzy model and control design for a class of nonlinear systems
have been developed. For modeling and control of nonlinear systems, the T-S
fuzzy control technique has become one of the most important control schemes
in the last decade, providing design algorithms to guarantee the stability and
control performance of closed-loop systems. Based on the T-S fuzzy models, a
fuzzy feedback controller is developed based on the parallel distributed
compensation (PDC) technique. Because of the advantages of bilinear systems,
the fuzzy system based on the T-S fuzzy model with bilinear rule consequence
is suitable for a nonlinear system. The problem of stability of bilinear systems
and T-S fuzzy bilinear models are formulated in terms of Lyapunov function
via the linear matrix inequality (LMI) form. Finally, numerical and application
examples are given to illustrate the applicability of the proposed methods.