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Robust digital control of fuzzy systems with parametric uncertainties: LMI-based digital redesign approach

机译:具有参数不确定性的模糊系统的鲁棒数字控制:基于LMI的数字重新设计方法

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摘要

This paper presents a new intelligent digital redesign (IDR) method for uncertain nonlinear systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. The term IDR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The IDR problem can be reduced to finding the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital control systems. The uncertainties in the plant dynamics are considered in the IDR condition that plays an important role in the performance improvement. Also, the robust stability is well guaranteed in the proposed IDR procedure. Its constructive conditions are expressed as linear matrix inequalities (LMIs). Two numerical examples, the chaotic Lorenz system and the Qi system, are demonstrated to visualize the feasibility of the proposed methodology.
机译:本文针对以Takagi-Sugeno(T-S)模糊模型为代表的不确定非线性系统,提出了一种新的智能数字重新设计(IDR)方法。术语IDR涉及在状态匹配的意义上将模拟控制器转换为等效的数字控制器。可以减少IDR问题,以找到使模拟和数字控制系统的闭环状态之间的范数距离最小的数字模糊增益。在IDR条件下考虑了工厂动态的不确定性,IDR条件对性能改善起着重要作用。而且,在建议的IDR程序中很好地保证了鲁棒的稳定性。它的构造条件表示为线性矩阵不等式(LMI)。演示了两个数值示例,混沌的Lorenz系统和Qi系统,以可视化提出的方法的可行性。

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