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首页> 外文期刊>International journal of systems science >Operator-based robust stability for nonlinear systems with multiple uncertainties using coprime factorisation method
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Operator-based robust stability for nonlinear systems with multiple uncertainties using coprime factorisation method

机译：基于操作员的非线性系统的鲁棒稳定性，具有多种不确定性的非线性系统使用Coprime分子方法

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摘要

In this paper, the robust stability of nonlinear systems with multiple uncertainties is considered by using a composite operator-based coprime factorisation method. Firstly, as for the exogenous external disturbance, the disturbance model is considered and the disturbance output is guaranteed to be bounded. Meantime, the adverse effect resulting from it is transformed to an equivalent effect on the stable part of the systems. By using operator-based coprime factorisation method, a feasible framework on multiple uncertainties is obtained. Then, the obtained equivalent effects resulting from the modelled disturbance and adverse effect from the internal perturbation are unified and addressed. Thirdly, sufficient conditions on guaranteeing robust stability of the considered nonlinear systems are considered by using robust coprime factorisation method, for relaxing computation burden on Bezout identity and avoiding requirement on knowing the perturbation signal. Based on the proposed conditions, two controllers are designed and the robust stability of the considered systems is proved. Finally, simulation results are shown to explain the proposed design scheme and confirm its effectiveness of this paper.
机译：本文通过使用基于复合操作者的共度分子分子方法考虑具有多种不确定性的非线性系统的鲁棒稳定性。首先，对于外源外部干扰，考虑干扰模型，保证扰动输出被限制。同时，由其产生的不利影响被转变为对系统稳定部分的等效影响。通过使用基于操作员的共度分子分子方法，获得了多个不确定性的可行框架。然后，统一和解决由内部扰动的模型干扰和不利影响产生的获得的等效效果。第三，通过使用鲁棒的协调分子方法考虑了保证所考虑的非线性系统的鲁棒稳定性的充分条件，用于放松跳出标识的计算负担，避免了解扰动信号的要求。基于所提出的条件，设计了两个控制器，证明了所考虑系统的稳定稳定性。最后，显示仿真结果来解释所提出的设计方案并确认其效率。

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