Nonlinear control of feedforward systems with bounded signals

@article{Kaliora2004NonlinearCO,
  title={Nonlinear control of feedforward systems with bounded signals},
  author={Georgia Kaliora and Alessandro Astolfi},
  journal={IEEE Transactions on Automatic Control},
  year={2004},
  volume={49},
  pages={1975-1990}
}
The stabilization problem for a class of nonlinear feedforward systems is solved using bounded control. It is shown that when the lower subsystem of the cascade is input-to-state stable and the upper subsystem not exponentially unstable, global asymptotic stability can be achieved via a simple static feedback having bounded amplitude that requires knowledge of the "upper" part of the state only. This is made possible by invoking the bounded real lemma and a generalization of the small gain… CONTINUE READING
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