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Control with prescribed performance tracking for input quantized nonlinear systems using self-scrambling gain feedback

机译：使用自扰增益反馈进行输入量化非线性系统的规定性能跟踪

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摘要

This paper investigates the problem of control with prescribed performance tracking for a class of nonlinear systems in the presence of quantized input. A novel state feedback control scheme by self-scrambling gain is proposed, with the first merit that it is computationally inexpensive, since no linearly-parameterized approximators are used, and the second merit that it is self-adjustable with respect to different levels of tracking errors. Based on a smoothly transformed error variables, the output and virtual tracking errors are guaranteed to converge to some predefined arbitrarily small residual sets regardless of transient and steady bounds. The closed-loop system is proved by rigorously mathematical derivation to be globally stable, and two comparative illustrative examples are given to demonstrate the advantages and effectiveness of the proposed method. (C) 2020 Elsevier Inc. All rights reserved.
机译：本文研究了在存在量化输入存在下对一类非线性系统进行控制的控制问题。 提出了一种通过自扰扰增益的新型状态反馈控制方案，其第一优点是计算地廉价，因为没有使用线性参数化近似器，并且第二优点是相对于不同级别的跟踪级别自调节 错误。 基于平滑变换的误差变量，保证输出和虚拟跟踪错误是为了与某些预定义的任意义的残差集聚，无论瞬态和稳定的界限如何。 通过严格的数学推导来证明闭环系统以全局稳定，并且给出了两个比较说明性示例来证明所提出的方法的优点和有效性。 （c）2020 Elsevier Inc.保留所有权利。

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