2021
DOI: 10.1002/rnc.5492
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Dynamic scaling‐based adaptive control without scaling factor: With application to Euler–Lagrange systems

Abstract: A modular dynamic scaling-based immersion and invariance (I&I) adaptive control framework for a class of nonlinear system with parametric uncertainties is presented in this paper. The framework is based on an invariant manifold approach which allows for predefined target dynamics to be assigned to the closed-loop systems. The integrability obstacle typically inherent to I&I methodology is overcome by the matrix reconstruction and dynamic scaling technique.The prominent feature is that this methodology can be i… Show more

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Cited by 10 publications
(2 citation statements)
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“…However, apart from parametric uncertainties, the above adaptive control strategy is not capable of handling unstructured uncertainties (e.g., unknown dynamics, exogenous disturbance, measurement noise), which are primary encountered in practical problems [12][13][14]. In addition, the ideal asymptotic tracking performance and bounded parameter estimation would be destroyed if non-parametric uncertainties are not appropriately compensated [15]. Therefore, it is of great importance to develop a robust control framework with asymptotic convergence despite the bounded unstructured uncertainties.…”
Section: Introductionmentioning
confidence: 99%
“…However, apart from parametric uncertainties, the above adaptive control strategy is not capable of handling unstructured uncertainties (e.g., unknown dynamics, exogenous disturbance, measurement noise), which are primary encountered in practical problems [12][13][14]. In addition, the ideal asymptotic tracking performance and bounded parameter estimation would be destroyed if non-parametric uncertainties are not appropriately compensated [15]. Therefore, it is of great importance to develop a robust control framework with asymptotic convergence despite the bounded unstructured uncertainties.…”
Section: Introductionmentioning
confidence: 99%
“…Karagiannis et al [17] creatively applied dynamic scaling techniques to the design of an I&I-based controller, which has been widely used in recent years. A modular dynamic scaling-based I&I theory adaptive control was proposed [18] for spacecraft with parametric uncertainties for the first time. The introduction of dynamic scaling factor design including saturation function was used to demonstrate the convergence of the additive disturbance brought by the matrix reconstruction and removed the requirement of scaling factor in the controller implementation.…”
Section: Introductionmentioning
confidence: 99%