Stabilization of a linear hyperbolic PDE with actuator and sensor dynamics
Stabilization of a linear hyperbolic PDE with actuator and sensor dynamics
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DOI：
10.1016/j.automatica.2018.05.019
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发表时间：
2018-09
期刊：
影响因子：
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通讯作者：
Henrik Anfinsen;O. Aamo
中科院分区：
文献类型：
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作者：
Henrik Anfinsen;O. Aamo
我们考虑一个标量1-D线性双曲型偏微分方程（PDE）的无限维反推控制器先前已被设计的基础上的边界驱动和检测，并将一阶致动器和传感器的动态设计。提出了两种观测器设计，并结合状态反馈输出反馈控制律，使闭环系统的原点指数稳定，具有任意的收敛速度。理论在仿真中得到了验证。
We consider a scalar 1-D linear hyperbolic partial differential equation (PDE) for which infinite-dimensional backstepping controllers have previously been designed based on boundary actuation and sensing, and incorporate first order actuator and sensor dynamics into the design. Two observer designs are proposed, and combined with a state-feedback into output-feedback control laws which render the origin of the closed-loop system exponentially stable with arbitrary convergence rate. The theory is verified in simulations.