Fault recoverability analysis of switched nonlinear systems

ABSTRACT

The recoverability reflects the capability of the system to tolerate the worst faults over a prescribed set under admissible energy constraints. In this paper, we present the minimum amount of control energy required to drive the initial state of a nonlinear system to the origin under certain assumptions, and we also give the corresponding optimal control law. This result is then extended to switched nonlinear systems under given switching signals. On this basis, a novel fault recoverability evaluation scheme is proposed for switched nonlinear systems with respect to the given limit of energy cost. Simulation results verify the effectiveness of the proposed method.

KEYWORDS:

• Switched nonlinear system
• fault tolerant control
• fault recoverability

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by National Natural Science Foundation of China [grant number 61273171], [grant number 61473143]; Fundamental Research Funds for the Central Universities [grant number NE2014202], [grant number NE2015002].