Abstract
In this paper, the problem of the global finite-time adaptive stabilization for nonlinearly parametrized systems with multiple unknown control directions is addressed. Different from the previous results, the control directions of the considered systems are completely unknown. Adopting the adding a power integrator design technique, we develop an adaptive switching controller with a tuning parameter. Due to control directions unknown, a novel logic switching regulation is established based on Lyapunov function method to overcome this main obstacle. According to this switching rule, the design parameter is tuned online in a switching way. With the help of the obtained adaptive switching controller, the global finite-time stability of the closed-loop systems is shown. To verify the effectiveness of the control algorithm, a simulation example is presented.
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