O.Ya. Shpilevaya (Russia)
Adaptive Control, time-varying perturbations, stability, common Lyapunov function Adaptive control,
This paper considers the use of a controller with additive adjustment to achieve system stability when time-varying uncertainty influence. Time-varying parameters are piece-wise perturbations, which change at arbitrary and unknown times. An adaptive controller and adaptor are designed by the reference equation and the velocity vector methods. The system has state variable derivative feedback that leads to two-time scale motions. The stability problem is studied with the help of the common Lyapunov function and singular perturbation method. A numerical example is given.
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