Adaptive control of time-delay cascade systems with unknown parameters by partial state feedback

• Autores: Xu Zhang, Wei Lin, Yan Lin
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 94, 2018, págs. 45-54
• Idioma: inglés
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• Resumen

  • This paper shows that under an ISS-like condition on the zero-dynamics with time-delay, it is possible to achieve global adaptive regulation by dynamic partial state feedback for certain classes of time-delay cascade systems with nonlinear parameterization. The main contribution is the development of a delay-independent, partial state adaptive control scheme that employs a dynamic gain-based method, together with the adaptive feedback domination design and the technique of changing supply rate. By constructing suitable dynamic gain-based Lyapunov–Krasovskii functionals, we prove that all the states of the time-delay cascade system can be regulated to the origin while maintaining boundedness of the closed-loop system.