Kybernetika 58 no. 4, 637-660, 2022

Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty

Yanjun Shen and Lei LinDOI: 10.14736/kyb-2022-4-0637

Abstract:

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.

Keywords:

observer, output feedback, adaptive stabilization, polynomial-of-output growth rate, measurement sensitivity

Classification:

93D15, 93D21, 93C10

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