Discrete-Time ${\cal H}_\infty$ Control Problem for Nonlinear Descriptor Systems

@article{Wang2008DiscreteTimeH,
  title={Discrete-Time \$\{\cal H\}_\infty\$  Control Problem for Nonlinear Descriptor Systems},
  author={He-Sheng Wang and Chee-Fai Yung},
  journal={IEEE Transactions on Automatic Control},
  year={2008},
  volume={53},
  pages={1051-1057}
}
This note presents an explicit solution to the problem of disturbance attenuation with internal stability for discrete-time nonlinear descriptor systems. Both the static-state feedback and dynamic output feedback cases are considered. In particular, we characterize a family of Hinfin controllers solving the problem locally around a neighborhood of the origin. To do this, we first derive two stability criteria for discrete-time nonlinear descriptor systems, and then, a version of a bounded real… CONTINUE READING

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