An LMI approach to robust H∞ control and stabilization analysis for uncertain T-S fuzzy systems with state and input time-delays

Autor:	Bourahala Faycal, Nafir Noureddine
Rok vydání:	2015
Předmět:	Mathematical optimization Nonlinear system Time delays Computer Science::Systems and Control Robustness (computer science) Control theory Fuzzy model H control Functional approach Fuzzy control system Fuzzy logic Mathematics
Zdroj:	2015 3rd International Conference on Control, Engineering & Information Technology (CEIT).
DOI:	10.1109/ceit.2015.7233168
Popis:	This paper presents the robust H ∞ control problems for a class of uncertain Takagi-Sugeno (T-S) fuzzy systems with time-delay where uncertainties involved in the state and input matrices. The T-S fuzzy model is employed to represent uncertain delayed nonlinear systems. A delay-dependent stabilization criterion is first presented and new conditions of stabilization for uncertain T-S fuzzy model with time-delay are given in the form of linear matrix inequalities (LMI) and based on Lyapunov-Krasovskii functional approach. The fuzzy feedback robust H ∞ controller is designed to stabilize the T-S fuzzy system to achieve the prescribed disturbance attenuation level. Numerical example is presented to demonstrate the effectiveness of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c8ba5f056513e097f7f8af6ec32315b https://doi.org/10.1109/ceit.2015.7233168 Zobrazit plný text záznamu