New Results on Finite-Time Stability: Geometric Conditions and Finite-Time Controllers.

ACC

@inproceedings{DBLP:conf/amcc/GargP18,
  author       = {Kunal Garg and
                  Dimitra Panagou},
  title        = {New Results on Finite-Time Stability: Geometric Conditions and Finite-Time
                  Controllers},
  booktitle    = {2018 Annual American Control Conference, {ACC} 2018, Milwaukee, WI,
                  USA, June 27-29, 2018},
  pages        = {442--447},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.23919/ACC.2018.8431699},
  doi          = {10.23919/ACC.2018.8431699},
  timestamp    = {Sun, 08 Aug 2021 01:40:57 +0200},
  biburl       = {https://dblp.org/rec/conf/amcc/GargP18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

Abstract

This paper presents novel controllers that yield finite-time stability for linear systems. We first present a necessary and sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finite-time controllers based on vector fields and barrier functions to demonstrate the utility of this geometric condition. We also consider the general class of linear controllable systems, and present a continuous feedback control law to stabilize the system in finite time. Finally, we present simulation results for each of these cases, showing the efficacy of the designed control laws.

Authors

Dimitra Panagou

link /

Bib

@inproceedings{DBLP:conf/amcc/GargP18,
  author       = {Kunal Garg and
                  Dimitra Panagou},
  title        = {New Results on Finite-Time Stability: Geometric Conditions and Finite-Time
                  Controllers},
  booktitle    = {2018 Annual American Control Conference, {ACC} 2018, Milwaukee, WI,
                  USA, June 27-29, 2018},
  pages        = {442--447},
  publisher    = {{IEEE}},
  year         = {2018},
  url          = {https://doi.org/10.23919/ACC.2018.8431699},
  doi          = {10.23919/ACC.2018.8431699},
  timestamp    = {Sun, 08 Aug 2021 01:40:57 +0200},
  biburl       = {https://dblp.org/rec/conf/amcc/GargP18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}