Asymptotic Stabilization of a System under Saturated Input with Uncertain Time-Varying Bounds

In this letter, we consider an asymptotic stabilization problem for a system under saturated input which has uncertain and time-varying bounds. With our gain-scaling controller, we analytically show that the controlled system is asymptotically stabilized and the domain of operation can be arbitrarily enlarged by increasing the gain-scaling factor. Then, our proposed method is extended to a class of feedforward systems. Two numerical results are provided to show the validity of our results.