Memoryless Sampled-data Control For Linear Systems With Input Delays

During our paper, in order to prove the stability of linear systems that have input delays, we propose a truncated predictor feedback(TPF) that is associate with the sampled-data controller. During the delayed system and input delays in a known range that is positive and arbitrary, only if the corresponding open loop system has the property of exponential stability, then our sampled-data feedback controller which is truncated predictor could be constructed. Because our controller is memoryless, so it is easier to come true. Given a delayed system, it requires only the most recent sampling momentary state to be stable. During our paper, a sampled-data TPF device is designed, and the sampling period range of the constructed controller is given, then we prove that delayed system has stability under the designed controller. Lastly, the paper gives a example to prove that our method is effective and feasible.