Disturbance attenuation via output feedback for nonlinear systems with input matching uncertainty

ABSTRACT

This paper studies the problem of output feedback disturbance attenuation for a class of nonlinear systems with input matching uncertainty, whose nonlinearities are bounded by unmeasured states multiplying unknown input and output polynomial functions. Combining the technique of dynamic gain and extended state observer, an adaptive output feedback controller is designed to guarantee that the states of the closed-loop system are globally bounded, and the disturbance attenuation is achieved in the $L_2$-gain sense.

KEYWORDS:

• Nonlinear systems
• disturbance attenuation
• output feedback
• input matching uncertainty
• input and output polynomial functions

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Taishan Scholar Project of Shandong Province of China; National Natural Science Foundation of China [grant number 61673242]; Shandong Provincial Natural Science Foundation of China [grant number ZR2016FM10].

Notes on contributors

Tian-Tian Guo

Tian-Tian Guo is a master student at the Institute of Automation, Qufu Normal University. Her current research interests include nonlinear control and adaptive control.

Xue-Jun Xie

Xue-Jun Xie is a professor at the Institute of Automation, Qufu Normal University. His current research interests include stochastic nonlinear control systems and adaptive control.