Volume 32, Issue 18 pp. 10396-10409
SHORT COMMUNICATION

A note on a performance recovery method for a class of nonaffine-in-control nonlinear systems with input saturation

Hao Yang

Hao Yang

School of Automation, Guangdong Polytechnic Normal University, Guangzhou, China

Search for more papers by this author
Hailong Pei

Corresponding Author

Hailong Pei

Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Unmanned Aerial Vehicle Systems Engineering Technology Research Center of Guangdong, South China University of Technology, Guangzhou, China

Correspondence

Hailong Pei, Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Unmanned Aerial Vehicle Systems Engineering Technology Research Center of Guangdong, South China University of Technology, Guangzhou, China.

Email: [email protected]

Search for more papers by this author
Jian Cen

Jian Cen

Guangzhou Intelligent Building Equipment Information Integration and Control Key Laboratory, Guangdong Polytechnic Normal University, Guangzhou, China

Search for more papers by this author
First published: 20 September 2022

Funding information: Fundamental Research Funds for the Central Universities, Science and Technology Planning Project of Guangzhou, Grant/Award Number: 202201011133; Scientific Instruments Development Program of NSFC, Grant/Award Number: 61527810; Talent Project of Guangdong Polytechnic Normal University, Grant/Award Number: 2021SDKYA028

Abstract

This article proposes a feasible method for a class of nonaffine-in-control nonlinear systems in the presence of input saturation to obtain performance recovery. In the previous work, the plant is required to be affine-in-control to derive the difference between the desired and saturated inputs. Considering the nonaffine structure, we first build a fast subsystem with respect to the nominal system, where no saturation is presented. Then, an intermediate subsystem is established to compensate the influence of input saturation by approximating the difference between the original and nominal systems. In the slow time-scale, a series of existing control methods can be combined to achieve the requested transient performance. The ability of performance recovery is proved rigorously by the singular perturbation theory. Numerical examples are illustrated to demonstrate the validity of the presented method.

CONFLICT OF INTEREST

The authors declare no potential conflict of interest.

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.