Feedback stabilization of nonlinear systems with unknown control directions and time-delay

© 2017 IEEE. Global stabilization by state feedback is investigated for a class of time-delay nonlinear systems with unknown control directions. A dynamic state feedback control scheme is developed to achieve asymptotic state regulation with global stability. The proposed dynamic compensator employs...

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Bibliographic Details
Main Authors: Kanya Rattanamongkhonkun, Radom Pongvuthithum, Wei Lin, Gang Tao
Format: Conference Proceeding
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047515978&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58819
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Institution: Chiang Mai University
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Summary:© 2017 IEEE. Global stabilization by state feedback is investigated for a class of time-delay nonlinear systems with unknown control directions. A dynamic state feedback control scheme is developed to achieve asymptotic state regulation with global stability. The proposed dynamic compensator employs, on one hand, the idea of the Nussbaum-gain functions to mitigate the effects of unknown control directions, and the Riccati-like gain update laws to counteract the time-delay nonlinearity, on the other hand. The proof of the closed-loop stability and state regulation is based on a novel construction of Lyapunov-Krasovskii functionals that are crucial in dealing with unknown control directions and time-delay nonlinearity.