Abstract
This paper deals with the stabilization of uncertain nonlinear time-delay systems subject to input saturation. A nonlinear time-delay system is first represented by Takagi-Sugeno (T-S) fuzzy model, a set of fuzzy implications which are used to characterize local dynamics with actuator saturation. Based on a delay independent stability analysis, a domain of attraction in which the admissible initial states are ensured to converge asymptotically to the origin is determined. The fuzzy control law is then developed to maximize the estimation of this domain. The derived conditions are formulated in terms of linear matrix inequalities (LMIs) so that the synthesis of fuzzy controller and the estimation of stability domain can be carried out efficiently. Moreover, a robust stabilization for systems with parameter uncertainties, which are time-varying and norm-bounded, is discussed. Numerical examples of truck-trailer control are provided to demonstrate the effectiveness of the design.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.