Output to state description-based convergent fault tolerant control for linear systems with actuator faults

Abstract

This paper focuses on the output to state description-based convergent fault tolerant control (FTC) for a class of linear time invariant (LTI) systems. An output to state description theorem is proposed, by which, an adaptive output feedback FTC with a function equation constraint is designed for the LTI system in consideration. A controller reconfiguration algorithm is proposed to solve the constraint and construct an approximate controller that can compensate effectively the fault effect on systems. Furthermore, in certain conditions, the output feedback control gains can be determined by the state feedback control gains. A linear longitudinal dynamics of an aircraft and a linearised dynamic model of a vertical takeoff and landing (VTOL) aircraft in the vertical plane are applied to illustrate the effectiveness and merits of the proposed method.

Keywords:

• Linear systems
• output to state description
• output feedback fault tolerant control
• convergence
• linear matrix inequality

Acknowledgements

The authors would like to thank the reviewers and the editor-inchief for their very helpful comments and suggestions, which have improved our paper.

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 number 61773013], [grant number 61503058], [grant number 61673098], and the Scientific Research Project of Liaoning Province Department of Education, China [grant number 2020LNJC12].