Asymptotic Regulation of Time-Delay Nonlinear Systems with Unknown Control Directions

IEEE This paper studies the problem of global state regulation with stability for time-delay nonlinear systems with unknown control directions. Using a dynamic gain-based approach for counteracting time-delay nonlinearity and the Nussbaum-gain function for dealing with unknown control directions, we...

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Bibliographic Details
Main Authors: Pongvuthithum R., Rattanamongkhonkun K., Lin W.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029183600&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/40140
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Institution: Chiang Mai University
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Summary:IEEE This paper studies the problem of global state regulation with stability for time-delay nonlinear systems with unknown control directions. Using a dynamic gain-based approach for counteracting time-delay nonlinearity and the Nussbaum-gain function for dealing with unknown control directions, we develop a dynamic state feedback control strategy that solves the problem. A novel construction of Lyapunov-Krasovskii functionals is presented and plays a key role in handling nonlinearity with delayed states and unknown control directions simultaneously. The proposed dynamic state feedback compensators are shown to guarantee: i) global asymptotic convergence of the system state to the origin; and ii) global boundedness of the resulted closed-loop systems