Abstract

In this paper, the problem of designing a sliding mode controller for a class of uncertain fractional-order nonlinear systems with 0 <; β <; 1 is addressed by using linear matrix inequality (LMI) method. A key analysis technique is enabled by proposed a fundamental boundedness lemma, which is used for rigorous stability analysis of fractional-order systems, especially for Mittag-Leffler stability analysis of fractional-order nonlinear systems. A new switching law is given to guarantee the reachability condition. This sliding mode control law is utilized to obtain a controller capable of drawing the state trajectories onto the sliding surface and maintain the sliding motion. Numerical simulation results are presented to show the effectiveness of the proposed sliding mode control scheme.

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 call

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.