Robust stabilization of linear systems with norm-bounded time-varying uncertainty
Systems & Control Letters
Structure identification of fuzzy model
Fuzzy Sets and Systems
A stability approach to fuzzy control design for nonlinear systems
Fuzzy Sets and Systems
Passivity and absolute stabilization of a class of discrete-time nonlinear systems
Automatica (Journal of IFAC)
Identification of dynamic fuzzy models
Fuzzy Sets and Systems
Systems & Control Letters
Automatica (Journal of IFAC)
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
A new approach to fuzzy modeling
IEEE Transactions on Fuzzy Systems
Analysis and design of fuzzy controller and fuzzy observer
IEEE Transactions on Fuzzy Systems
Analysis and synthesis of discrete nonlinear passive systems via affine T-S fuzzy models
International Journal of Systems Science
Robust passive control for uncertain time-delay singular systems
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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A controller with large dissipativity is designed and implemented. The stability margin is increased in order to tolerate the uncertainties and the disturbance in the nonlinear system. In this study, the dissipativity of a nonlinear system is facilitated via fuzzy control method. First, the nonlinear system is represented by an Takagi and Sugeno fuzzy model. If the state variables of the nonlinear system are available, then a state feedback fuzzy control is developed to guarantee that the nonlinear control system is dissipative. This design problem becomes a linear matrix inequality (LMI) problem. The maximum dissipativity design is obtained by solving an eigenvalue problem (EVP). If the state variables are not available, a fuzzy observer-based state feedback controller will be used to solve the dissipative problem of the nonlinear system. Simulation examples are given to illustrate the design procedures and performances of the proposed method.