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Nonlinear versus linear control in the robust stabilizability oflinear uncertain systems via fixed-order output feedback

机译:非线性与线性控制通过固定阶输出反馈实现线性不确定系统鲁棒稳定性的研究

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摘要

This paper considers the problem of robustly stabilizing an uncertain system via fixed-order output feedback control. This problem is considered by defining a notion of robust stabilizability with a quadratic storage function. This notion is closely related to the notion of quadratic stabilizability. The main result of the paper shows that if an uncertain system is robustly stabilizable with a quadratic storage function via a nonlinear time-varying controller, then it will also be robustly stabilizable with a quadratic storage function via a linear time-invariant controller of the same order
机译:本文考虑了通过定阶输出反馈控制稳健地稳定不确定系统的问题。通过定义具有二次存储函数的鲁棒稳定性的概念来考虑此问题。该概念与二次可稳定性概念密切相关。本文的主要结果表明,如果不确定系统可以通过非线性时变控制器用二次存储函数鲁棒稳定,那么它也可以通过线性时不变控制器用二次存储函数鲁棒稳定。订购

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