Global finite-time control for a class of switched nonlinear systems with different powers via output feedback. Issue 13 (3rd October 2018)

• Record Type: Journal Article
• Authors: Zhai, Jun-yong; Song, Zhibao; Karimi, Hamid Reza
• Is Part Of: International journal of systems science. Volume 49:Issue 13(2018)
• Page Start: 2776
• Page End: 2783
• Publication Date: 2018-10-03
• Subjects: Switched nonlinear systems -- finite-time control -- output feedback; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2018.1512679
• Languages: English
• ISSNs: 0020-7721

Abstract

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.