Non-Fragile Guaranteed Cost Control of Nonlinear Systems with Different State and Input Delays Based on T-S Fuzzy Local Bilinear Models
( Modern Fuzzy Control Systems and Its Applications )
Publication series ： Modern Fuzzy Control Systems and Its Applications
Author： Junmin Li Jinsha Li and Ruirui Duan
Publisher： IntechOpen
Publication year： 2017
E-ISBN: INT6583469777
P-ISBN(Paperback): 9789535133896
P-ISBN(Hardback): 9789535133902
Subject： O29 applied mathematics
Keyword： 应用数学
Language： ENG
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Non-Fragile Guaranteed Cost Control of Nonlinear Systems with Different State and Input Delays Based on T-S Fuzzy Local Bilinear Models
Description
This paper focuses on the non-fragile guaranteed cost control problem for a class of Takagi-Sugeno (T-S) fuzzy time-varying delay systems with local bilinear models and different state and input delays. A non-fragile guaranteed cost state-feedback controller is designed such that the closed-loop T-S fuzzy local bilinear control system is delay-dependent asymptotically stable, and the closed-loop fuzzy system performance is constrained to a certain upper bound when the additive controller gain perturbations exist. By employing the linear matrix inequality (LMI) technique, sufficient conditions are established for the existence of desired non-fragile guaranteed cost controllers. The simulation examples show that the proposed approach is effective and feasible.
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