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Inicio  /  Aerospace  /  Vol: 11 Par: 3 (2024)  /  Artículo
ARTÍCULO
TITULO

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Omar Hernández-González    
Felipe Ramírez-Rasgado    
Mondher Farza    
María-Eusebia Guerrero-Sánchez    
Carlos-Manuel Astorga-Zaragoza    
Mohammed M?Saad and Guillermo Valencia-Palomo    

Resumen

This paper deals with the problem of the estimation of non-uniformly nonlinear systems with time-varying delays in the state and input. In addition, the problem of the sampled output measurement is also been addressed. Thus, an observer design for a class of uncertain, non-uniformly nonlinear systems in the presence of time-varying delay is proposed. A continuous?discrete observer based on a high-gain approach is designed to achieve undelayed estimation. Thus, sufficient conditions to ensure the convergence of the observer are obtained. The analysis is based on a Lyapunov?Krasovskii functional, which shows that the bounded observation error depends on the sizes of the known upper delay and the upper sampling rate. The performance of the proposed algorithm is evaluated by considering a control-based observer for a two-degrees-of-freedom helicopter system with a known time-varying delay and sampled output measurements.

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