Abstract
This paper is concerned with global stabilization of linear systems by bounded controls. Two types of nonlinear control laws with one made of cascade connections of saturation functions and the other one consisting of nested connections of saturation functions are firstly proposed for multiple integrators system. The possible ranges for the controllers’ parameters are extended with respect to existing results. Simultaneously, the so-called state-dependent saturation functions are introduced into these two types of control laws to replace the standard saturation functions which can improve the transient performance of the closed-loop system significantly. The results are then extended to a class of linear systems that can be globally stabilized by bounded controls. An illustrative example is presented to show the effectiveness and advantages of the proposed approaches.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
