Geodesic
Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty
Kybernetika, Tome 58 (2022) no. 4, pp. 637-660.

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In this paper, the problem of adaptive output feedback stabilization is investigated for a class of nonlinear systems with sensor uncertainty in measured output and a growth rate of polynomial-of-output multiplying an unknown constant in the nonlinear terms. By developing a dual-domination approach, an adaptive observer and an output feedback controller are designed to stabilize the nonlinear system by directly utilizing the measured output with uncertainty. Besides, two types of extension are made such that the proposed methods of adaptive output feedback stabilization can be applied for nonlinear systems with a large range of sensor uncertainty. Finally, numerical simulations are provided to illustrate the correctness of the theoretical results.
DOI : 10.14736/kyb-2022-4-0637
Classification : 93C10, 93D15, 93D21
Keywords: adaptive stabilization; polynomial-of-output growth rate; measurement sensitivity; output feedback; observer 
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     title = {Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty},
     journal = {Kybernetika},
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     volume = {58},
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Shen, Yanjun; Lin, Lei. Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty. Kybernetika, Tome 58 (2022) no. 4, pp. 637-660. doi : 10.14736/kyb-2022-4-0637. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-4-0637/

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