Adaptive Stabilization of Uncertain Non-Affine Systems with Nonlinear Parameterization<sup>⁎</sup>

© 2018 This paper investigates the problem of adaptive control for non-affine systems with nonlinear parameterization. Under the controllability-like conditions characterized by the Lie brackets of affine vector fields, we show that there is LgV-type adaptive controllers that globally asymptotically...

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Bibliographic Details
Main Authors: Wei Lin, Kanya Rattanamongkhonkun, Radom Pongvuthithum
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054376449&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/62723
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Institution: Chiang Mai University
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Summary:© 2018 This paper investigates the problem of adaptive control for non-affine systems with nonlinear parameterization. Under the controllability-like conditions characterized by the Lie brackets of affine vector fields, we show that there is LgV-type adaptive controllers that globally asymptotically regulate the state of the nonlinearly parameterized system with stable free dynamics while maintaining global stability of the closed-loop system. LgV-type adaptive controllers are designed and their effectiveness is demonstrated by two interesting examples.