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Sufficient conditions for robust tracking in nonlinear systems

机译:非线性系统中鲁棒跟踪的充分条件

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摘要

The problem of achieving robust output regulation for plants described by nonlinear differential equations is discussed. Output regulation means that the closed-loop system is locally exponentially stable about an equilibrium and its output asymptotically tracks any reference signal produced by a fixed external generator. Robust means that the tracking property continues to hold in the occurrence of perturbations in the plant parameters, so long as these perturbations are such that the local stability property is not lost. A nonlinear controller is presented which achieves robust regulation for nonlinear plants; in particular, the paper addresses the case in which the exogenous signals (including the disturbances to be rejected and the references to be tracked) can be measured, i.e. can be exploited by the controller. It is shown that, in this case, the class of nonlinear plants for which robust output regulation can be achieved is much wider with respect to the case in which the exogenous signals cannot be measured.
机译:讨论了由非线性微分方程描述的实现工厂鲁棒输出调节的问题。输出调节意味着闭环系统在平衡附近局部指数稳定,并且其输出渐近跟踪固定外部发电机产生的任何参考信号。鲁棒意味着在设备参数发生扰动时,跟踪特性将继续保持不变,只要这些扰动足以确保局部稳定性不会丢失。提出了一种非线性控制器,该控制器可实现非线性设备的鲁棒调节。特别地,该论文解决了可以测量外源信号(包括要被拒绝的干扰和要跟踪的参考)的情况,即可以被控制器利用的情况。结果表明,在这种情况下,相对于无法测量外源信号的情况,可以实现鲁棒输出调节的非线性设备类别要宽得多。

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