In this paper, we consider the unknown trajectory tracking problem for stable distributed parameter systems. The main assumptions are that trajectory signals are generated by an unknown finite-dimensional exosystem that is a marginally stable system and the tracking error is available for measurement. In order to achieve perfect error regulation, a frequency estimator scheme is proposed to estimate unknown exosystem parameters, and the control law that is designed based on geometric output regulation theory is revisited. The success of the proposed method is demonstrated on a parabolic heat equation and a first-order hyperbolic partial differential equation.
Output regulation, distributed parameter systems, frequency estimation, adaptive control
ALTINER, İHSAN BERK; DOĞAN, MUSTAFA; and DAŞDEMİR, JANSET
"Adaptive output tracking of distributed parameter systems,"
Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 30:
3, Article 4.
Available at: https://journals.tubitak.gov.tr/elektrik/vol30/iss3/4