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Decentralised variable structure observation of nonlinear interconnected systems with time delay

机译:时滞非线性互联系统的分散变结构观测

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摘要

Decentralised local variable structure observers are proposed for a class of nonlinear interconnected systems in which the system states experience time delay while the inputs and outputs are delay free. The interconnections are nonlinear, unknown and time delayed, which provides particular challenge for the case of decentralised observation. It is not required that the bounds on the uncertainties in the isolated subsystems are functions of the system outputs. Unlike much of the existing work where the designed observer is an interconnected system, the observers designed in this paper are a set of decoupled dynamics and thus decentralised, which is more reliable in real implementation. A set of sufficient conditions are derived such that in the considered domain the corresponding error dynamics are asymptotically stable where the Lyapunov Razumikhin approach is employed to deal with the time delay. The delays are time varying, and there is no limitation on the rate of change of the time delays. A numerical example is presented to show the effectiveness of the results obtained. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
机译:针对一类非线性互连系统,提出了分散的局部变量结构观测器,其中系统状态经历时间延迟,而输入和输出没有延迟。互连是非线性的,未知的且具有时间延迟,这对分散观测的情况提出了特殊的挑战。不需要孤立子系统中不确定性的界限是系统输出的函数。与许多现有的工作(设计的观察者是一个互连系统)不同,本文设计的观察者是一组解耦的动力学,因此是分散的,在实际实现中更可靠。导出一组足够的条件,以便在所考虑的域中,采用Lyapunov Razumikhin方法处理时间延迟时,相应的误差动态渐近稳定。延迟是随时间变化的,并且对时间延迟的变化率没有限制。数值例子表明了所获得结果的有效性。 (C)2015富兰克林研究所。由Elsevier Ltd.出版。保留所有权利。

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    《Journal of the Franklin Institute》 |2015年第10期|4129-4146|共18页
  • 作者单位

    Univ Kent, Instrumentat Control & Embedded Syst Res Grp, Sch Engn & Digital Arts, Canterbury CT2 7NT, Kent, England.;

    Univ Kent, Instrumentat Control & Embedded Syst Res Grp, Sch Engn & Digital Arts, Canterbury CT2 7NT, Kent, England.;

    Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia.;

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  • 入库时间 2022-08-18 02:57:48

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