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

• Main Authors: Kanya Rattanamongkhonkun, Radom Pongvuthithum, Wei Lin, Gang Tao
• Format: Conference Proceeding
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047515978&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/58819
• Institution: Chiang Mai University

© 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.