Global finite-time control for a class of switched nonlinear systems with different powers via output feedback

ABSTRACT

This paper is concerned with the problem of global finite-time control for switched nonlinear systems whose nonlinear terms satisfy homogenous growth conditions. At first, we design homogenous output feedback controllers for nominal switched nonlinear systems by adding a power integrator method. Then, we employ the homogeneous domination approach to scale homogeneous observers and controllers to render switched nonlinear systems with lower-triangular homogenous growth condition globally finite-time stable. Finally, the proposed control method can be extended to switched nonlinear systems satisfying with upper-triangular homogeneous growth condition. Two examples are provided to demonstrate the effectiveness of the proposed control scheme.

KEYWORDS:

• Switched nonlinear systems
• finite-time control
• output feedback

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Junyong Zhai http://orcid.org/0000-0001-5122-3819

Additional information

Funding

This work was supported in part by National Natural Science Foundation of China (No. 61873061, 61473082), Qing Lan Project, and the Fundamental Research Funds for the Central Universities, Postgraduate Research & Practice Innovation Program of Jiangsu Province (No. KYCX17_0099), and the Scientific Research Foundation of Graduate School of Southeast University (No. YBJJ1767).