GLOBAL FINITE-TIME STABILIZATION FOR A CLASS OF HIGH-ORDER TIME-VARYING NON-LINEAR SYSTEMS WITH UNKNOWN CONTROL COEFFICIENTS

Fangzheng Gao and Yuqiang Wu

Keywords

Highorder timevarying nonlinear systems, adding a power integrator, sign function, global stabilization, finitetime convergence

Abstract

This paper investigates the problem of global finite-time stabilization by state feedback for a class of high-order time-varying non-linear systems in non-triangular form with unknown control coefficients. By introducing sign function and necessarily modifying the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global uniform finite-time stability of the resulting closed-loop system. A simulation example is provided to illustrate the effectiveness of the proposed approach.

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