159
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Composite adaptive anti-disturbance control for MIMO nonlinearly parameterized systems with mismatched general periodic disturbances

, , &
Pages 2089-2105 | Received 18 Feb 2016, Accepted 23 Aug 2016, Published online: 31 Jan 2017
 

ABSTRACT

In this paper, the problem of anti-disturbance control for a class of multi-input and multi-output (MIMO) nonlinearly parameterized systems with mismatched general periodic disturbances is investigated via a composite adaptive anti-disturbance control scheme. The composite adaptive anti-disturbance control method is presented by using disturbance observer technique, back-stepping method and adaptive control approach. A novel disturbance observer is designed to estimate the disturbances generated by a linear system with nonlinear output function. Rigorous stability analysis for the augmented closed-loop system is developed by direct Lyapunov stability theory. It is shown that the system outputs asymptotically converge to zero in the presence of mismatched general periodic disturbances. Finally, a simulation example is given to demonstrate the effectiveness of the proposed method.

2000 AMS SUBJECT CLASSIFICATION:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by National Natural Science Foundation of China (Nos. 61403227,61320106010), part by Project supported by the Zhejiang Open Foundation of the Most Important Subjects, part by Natural Science Foundation of Shandong Province (Nos. ZR2016FQ09), part by the Taishan Scholar Project of Shandong Province, and experimental teaching reform project of Qufu Normal University(sj201416).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.