Abstract

This paper investigates the H ∞ Observer-Based Controller (H ∞ -OBC) for Disturbed Fractional-Order Systems with Time-Varying-Delay (D-FOS-TVD). First, the existence conditions for H ∞ -OBC are given. Then, based on the diffusive representation of the fractional-order derivative and the indirect Lyapunov approach proposed by [1], a new sufficient condition is obtained and presented as a convex optimization problem with a Linear Matrix Inequality (LMI) constraint to ensure the stability of the estimation errors and the stabilization of the D-FOS-TVD simultaneously. All observer matrices gains and control laws can be computed by solving the given LMI subject to a constraint.

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.