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首页> 外文期刊>IEEE Transactions on Automatic Control >Backstepping Design of Robust State Feedback Regulators for Linear Hyperbolic Systems
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Backstepping Design of Robust State Feedback Regulators for Linear Hyperbolic Systems

机译：线性双曲系统鲁棒状态反馈调节器的反推设计

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摘要

This technical note deals with the robust output regulation problem for boundary controlled linear 2 × 2 hyperbolic systems. Thereby, the output to be controlled can be located at one of the boundaries or is a pointwise in-domain output. By utilizing the internal model principle, a state feedback regulator is determined for a finite-dimensional signal model describing the exogenous signals. This amounts to stabilizing a hyperbolic PDE-ODE cascade coupled at an intermediate point. For this, a systematic backstepping method is developed to determine the stabilizing state feedback controller. The solvability of the considered output regulation problem can easily be verified on the basis of the nominal plant transfer behaviour. For non-destabilizing model uncertainties the robustness of the achieved output regulation is verified. An uncertain hyperbolic system with an in-domain output illustrates the results of the technical note.
机译：本技术说明处理边界控制的线性2×2双曲系统的鲁棒输出调节问题。因此，要控制的输出可以位于边界之一或为逐点域内输出。通过利用内部模型原理，为描述外部信号的有限维信号模型确定状态反馈调节器。这相当于稳定了在中间点耦合的双曲线PDE-ODE级联。为此，开发了一种系统的反推方法来确定稳定状态反馈控制器。可以根据名义工厂转移行为轻松验证所考虑的输出调节问题的可解决性。对于非破坏性模型不确定性，验证了所实现输出调节的鲁棒性。具有域内输出的不确定双曲系统说明了本技术说明的结果。

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