Prescribed performance event-triggered fault-tolerant control of uncertain pure-feedback nonlinear systems

Abstract

The prescribed performance event-triggered fault-tolerant control (FTC) problem is considered for a class of uncertain pure-feedback nonlinear systems with actuator failures. Contrary to the existing results, the novel decoupling condition and the universal construction mode of error transformation are first given. Based on this, a new radical constrained function is used to low-complexity controller design without involving the Nussbaum gain scheme or adaptation parameter updated structure, in spite of nonlinear coupling and event triggering input. It is proved that the desired prescribed accuracy of the closed-loop output tracking can be achieved and the number of event-trigger showed a significant reduction. The effectiveness of theory results is verified by simulation on a numerical example.

Keywords:

• Prescribed performance control (PPC)
• radical constrained transformation
• event-triggered control (ETC)
• pure-feedback nonlinear system
• actuator faults

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 62022044, 61773221, 61773072, 61873024 and U21A20483), in part by the Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province (Grant No. BK20190039), in part by the Natural Science Foundation of Liaoning Province (Grant No. 2022-MS-356), and in part by the Natural Science Foundation of Educational Committee of Liaoning Province (Grant Nos. LJKZ0284 and 2020LNJC11). The work of J.H. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2019R1A5A8080290).