We introduce a special finite-time approach called fixed-time control. The advantage of fixed-time techniques over classical finite-time ones is that their settling time is not dependent on the initial values. By designing different controllers and proposing different analysis methods, the corresponding analysis results are obtained. For a more comprehensive introduction to fixed-time, we also consider perturbations, impulse effects, signed graphs, T-S fuzzy systems, and so on. In each section, corresponding numerical simulations are demonstrated to verify the proposed approach in theory.

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Fixed-Time Control of Continuous Systems

  • Xinsong Yang,
  • Yaping Sun,
  • Rongqiang Tang,
  • Meijie Zhang

摘要

We introduce a special finite-time approach called fixed-time control. The advantage of fixed-time techniques over classical finite-time ones is that their settling time is not dependent on the initial values. By designing different controllers and proposing different analysis methods, the corresponding analysis results are obtained. For a more comprehensive introduction to fixed-time, we also consider perturbations, impulse effects, signed graphs, T-S fuzzy systems, and so on. In each section, corresponding numerical simulations are demonstrated to verify the proposed approach in theory.