Semi-globally practical finite-time stability for uncertain nonlinear systems based on dynamic surface control

ABSTRACT

In this paper, a semi-globally practical finite-time stability (SGPFS) problem is investigated for a class of uncertain nonlinear systems. Two well-known control techniques, dynamic surface control (DSC) and adding a power integrator (AAPI), are combined to obtain the semi-globally practical finite-time controller. With the aid of DSC, a less-complex finite-time control algorithm is presented, which makes the closed-loop system SGPF-stable. Two examples are provided to explain the feasibility and effectiveness of the proposed design technique.

Keywords:

• Semi-globally practical finite-time stability
• dynamic surface control
• adding a power integrator
• backstepping

Acknowledgements

The authors would like to thank Editor-in-chief, Associate Editor and the reviewers for their valuable comments and helpful suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Meanwhile, this work was supported in part by the China Scholarship Council [grant no. 201606080044], the National Natural Science Foundation of China [grant nos. 61773108 and 61503222] and the Natural Sciences and Engineering Research Council of Canada [grant no. RGPIN-2017-05367].