Decentralised variable structure observation of nonlinear interconnected systems with time delay
Decentralised variable structure observation of nonlinear interconnected systems with time delay
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DOI：
10.1016/j.jfranklin.2015.06.002
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发表时间：
2015-10
期刊：
影响因子：
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通讯作者：
Xing-gang Yan;S. Spurgeon;P. Shi
中科院分区：
文献类型：
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作者：
Xing-gang Yan;S. Spurgeon;P. Shi
针对一类非线性互联系统，提出了一种分散局部变结构观测器，其中系统状态具有时滞，而输入输出均无时滞。这些相互联系是非线性的、未知的和时滞的，这为分散观测的情况提供了特别的挑战。它不要求孤立子系统中的不确定性的界是系统输出的函数。与大多数现有的工作，其中所设计的观测器是一个互联系统，在本文中设计的观察员是一组解耦的动态，因此分散，这是更可靠的真实的实施。一组充分条件推导出，在所考虑的域中相应的误差动态渐近稳定的李雅普诺夫Razumikhin方法来处理的时间延迟。延迟是时变的，并且对时间延迟的变化率没有限制。最后给出了一个数值算例，验证了所得结果的有效性.
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.