Premium
Output feedback regulation control for a class of cascade nonlinear systems by time‐varying Kalman observer
Author(s) -
Wu Yuqiang,
Yu Jiangbo,
Zhang Zhongcai
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4485
Subject(s) - control theory (sociology) , cascade , nonlinear system , observer (physics) , state observer , kalman filter , separation principle , computer science , control (management) , mathematics , engineering , artificial intelligence , physics , quantum mechanics , chemical engineering
Summary The global output feedback regulation problem is studied for a class of cascade nonlinear systems. The considered system represents more general classes of nonlinear uncertain systems, including the integral input‐to‐state stable (iISS) unmodeled dynamics, the unknown control direction, the parameter uncertainty, and the external disturbance additively in the input channel. Technically, we explore the changing supply rate technique for the iISS system to deal the iISS unmodeled dynamics and apply the Nussbaum‐type gain into the control design to overcome the unknown control direction. Additionally, a dynamic extended state observer in the form of a time‐varying Kalman observer is novelly constructed to overcome the unmeasured state components in the nonlinear uncertainties. It is shown that the global regulation problem is well addressed by the proposed method, and its efficacy is demonstrated by a fan speed control system.