Conic-Sector-Based Analysis and Control Synthesis for Linear Parameter Varying Systems

@article{Sivaranjani2018ConicSectorBasedAA,
  title={Conic-Sector-Based Analysis and Control Synthesis for Linear Parameter Varying Systems},
  author={S. Sivaranjani and James Richard Forbes and Peter J. Seiler and Vijay Gupta},
  journal={IEEE Control Systems Letters},
  year={2018},
  volume={2},
  pages={224-229}
}
We present a conic sector theorem for linear parameter varying (LPV) systems in which the traditional definition of conicity is violated for certain values of the parameter. We show that such LPV systems can be defined to be conic in an average sense if the parameter trajectories are restricted so that the system operates with such values of the parameter… CONTINUE READING