Flatness based feedback design for hyperbolic distributed parameter systems with spatially varying coefficients
Flatness based feedback design for hyperbolic distributed parameter systems with spatially varying coefficients
复制标题
具有空间变化系数的双曲分布参数系统的基于平坦度的反馈设计
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
F. Woittennek
中科院分区：
文献类型：
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作者：
F. Woittennek
摘要研究了由系数空间相关的一维二阶双曲分布参数系统和有限维线性系统组成的混杂系统的状态反馈设计问题。该方法依赖于基于平坦度的参数化的解决方案，这是通过集成沿着的特点。基于此参数化的平坦度为基础的反馈控制器的设计，以实现任意期望的闭环动态。给出了所得到的无穷维控制律的逼近策略。
Abstract State feedback design for a hybrid system consisting of a spatially one-dimensional second order hyperbolic distributed parameter system with spatially dependent coefficients and a finite dimensional linear system is considered. The approach relies on the flatness based parametrization of the solutions which is obtained by integration along the characteristics. Based on this parametrization the design of flatness based feedback controllers is proposed in order to achieve an arbitrary desired closed loop dynamics. Approximation strategies of the obtained infinite dimensional control laws are proposed.