Abstract
Compared with asymptotic stability or exponential stability, finite-time stability has the advantages of fast convergence, high tracking accuracy, and strong robustness. Therefore, finite-time control problem has received extensive attention. An adaptive finite-time control problem is discussed in this brief for a class of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula> -normal nonlinear systems. First, an observer-based state feedback controller is constructed such that the nominal system is globally finite-time stable. Then, the nonlinear terms are dominated by introducing a dynamic gain. Based on Lyapunov stability theory, it is proved that the system state converges to origin in a finite time and the dynamic gain is bounded. Finally, an example is used to illustrate the effectiveness of the proposed control strategy.
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 callMore From: IEEE Transactions on Circuits and Systems II: Express Briefs
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.
