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首页> 外文会议>Time delay systems: methods, applications and new trends >Predictor Feedback: Time-Varying, Adaptive, and Nonlinear
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Predictor Feedback: Time-Varying, Adaptive, and Nonlinear

机译：预测器反馈：时变，自适应和非线性

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摘要

We present a tutorial introduction to methods for stabilization of systems with long input delays—the so-called "predictor feedback" techniques. The methods are based on techniques originally developed for boundary control of partial differential equations using the "backstepping" approach. We start with a consideration of linear systems, first with a known delay and then subject to a small uncertainty in the delay. Then we study linear systems with constant delays that are completely unknown, which requires an adaptive control approach. For linear systems, we also present a method for compensating arbitrarily large but known time-varying delays. Next, we consider nonlinear control problems in the presence of arbitrarily long input delays. Finally, we close with a design for general nonlinear systems with delays that have a general dependency on the system state.
机译：我们为具有长输入延迟的系统的稳定化方法（所谓的“预测器反馈”技术）提供了一个教程介绍。该方法基于最初开发的用于使用“ backstepping”方法进行偏微分方程边界控制的技术。我们首先考虑线性系统，首先考虑已知的延迟，然后对延迟进行较小的不确定性。然后，我们研究具有完全未知的恒定延迟的线性系统，这需要自适应控制方法。对于线性系统，我们还提出了一种补偿任意大但已知的时变延迟的方法。接下来，我们考虑存在任意长输入延迟的非线性控制问题。最后，我们结束了对一般非线性系统的设计，该系统的延迟通常与系统状态有关。

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