Title: Quantised global prescribed performance control of unknown strict-feedback systems

Authors: Wei Ding; Jin-Xi Zhang

Addresses: Faculty of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China ' State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, China

Abstract: This paper is concerned with the reference tracking problem for the unknown strict-feedback systems subject to unmatched disturbances under quantised control. The quantisation error and the model uncertainty yield challenges in fast and accurate tracking control. A quantised robust global prescribed performance control approach is given to address the problem. It achieves output tracking with arbitrarily predefined settling time and accuracy and ensures boundedness of all the signals involved in the control system for any initial condition. Furthermore, the proposed control exhibits significant simplicity. It does not invoke the techniques of approximation, identification, estimation, etc. to deal with model uncertainties. On the other hand, there is no need to calculate the intermediate control signal derivatives in the recursive design. The simulation study on a jet engine compressor illustrates the above theoretical findings.

Keywords: control simplicity; global stability; nonlinear systems; prescribed performance; quantised control.

DOI: 10.1504/IJMIC.2024.135548

International Journal of Modelling, Identification and Control, 2024 Vol.44 No.1, pp.49 - 56

Received: 07 Sep 2022
Received in revised form: 04 Nov 2022
Accepted: 14 Nov 2022
Published online: 18 Dec 2023 *

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