State feedback regulation of high-order feedforward nonlinear systems with delays in the state and input under measurement sensitivity

Abstract

In this paper, we consider a state feedback regulation problem for a class of high-order feedforward nonlinear systems in which there are delays in the state and input. Then, the feedback information is distorted such that the actually engaged controller is supposed to operate under measurement sensitivity. Both measurement sensitivity and delays are uncertain and time-varying. We propose a dynamic controller and analytically show that the controlled system is globally regulated in the presence of large and arbitrarily fast-varying measurement sensitivity and delays. The simulation results of the numerical and practical examples are presented to demonstrate the validity of our control method.

Keywords:

• State feedback controller
• measurement sensitivity
• feedforward nonlinear systems
• time-varying delays

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Dong-A University research fund

Notes on contributors

Min-Sung Koo

Min-Sung Koo received the BSE degree in 2004 and MS degree in 2006 and PhD degree in 2011 from the Department of Electrical Engineering, KAIST (Korea Advanced Institute of Science and Technology), Daejeon, Korea, respectively. She is an associate professor at the Department of Fire Protection Engineering, Pukyong National University, Busan. Her research interests include nonlinear system, delay system, high-order system.

Ho-Lim Choi

Ho-Lim Choi received the BSE degree from the Department of Electrical Engineering, The University of Iowa, USA in 1996, and MS degree in 1999 and PhD degree in 2004, from KAIST (Korea Advanced Institute of Science and Technology), respectively. Currently, he is a professor at the Department of Electrical Engineering, Dong-A university, Busan. His research interests are in the nonlinear control problems with emphasis on feedback linearisation, gain scheduling, singular perturbation, output feedback, time-delay systems. He is a member of IEEE, IEICE, KIEE, ICROS.