Homogeneous Stabilizer by State Feedback for Switched Nonlinear Systems Using Multiple Lyapunov Functions’ Approach

Hui Ye, Bin Jiang and Hao Yang

Mathematical Problems in Engineering, 2017, vol. 2017, 1-7

Abstract:

This paper investigates the problem of global stabilization for a class of switched nonlinear systems using multiple Lyapunov functions (MLFs). The restrictions on nonlinearities are neither linear growth condition nor Lipschitz condition with respect to system states. Based on adding a power integrator technique, we design homogeneous state feedback controllers of all subsystems and a switching law to guarantee that the closed-loop system is globally asymptotically stable. Finally, an example is given to illustrate the validity of the proposed control scheme.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5034316

DOI: 10.1155/2017/5034316

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