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

Jun-yong Zhai, Zhibao Song and Hamid Reza Karimi

International Journal of Systems Science, 2018, vol. 49, issue 13, 2776-2783

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.

Date: 2018
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DOI: 10.1080/00207721.2018.1512679

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