Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays

@article{Krstic2007BacksteppingBC,
  title={Backstepping boundary control for first order hyperbolic PDEs and application to systems with actuator and sensor delays},
  author={Miroslav Krstic and Andrey Smyshlyaev},
  journal={2007 46th IEEE Conference on Decision and Control},
  year={2007},
  pages={225-230}
}
We consider a problem of boundary feedback stabilization of first order hyperbolic partial differential equations (PDEs). These equations serve as a model for such physical phenomena as traffic flows, chemical reactors, and heat exchangers. We design controllers using a backstepping method, which has been recently developed for parabolic PDEs. With the integral transformation and boundary feedback the unstable PDE is converted into a "delay line" system which converges to zero in finite time… CONTINUE READING
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