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Everything about RISE controllers

Robust nonlinear control to achieve exponential stabilization

The robust integral of the sign of the error controllers or RISE controllers constitute a class of continuous robust control algorithms developed for nonlinear, control‐affine systems subject to uncertainties and disturbances. Distinguished by their capability to guarantee asymptotic tracking of reference trajectories even in the presence of bounded modeling errors, RISE controllers can be used where the exact system dynamics are unknown. Recent theoretical advancements have further extended these results to prove exponential stability under appropriate conditions. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: RISE controllersA 5-minute orientation
  2. Skim a recent paper: Seismic Control of High-Rise Buildings by Combining Fuzzy Logic and Higher-Order Fractional Order Controllers Using an Optimized MR+TMDInfluential work since 2022
  3. Pick up a classic book: Low-speed wind-tunnel study of reaction control-jet effectiveness for hover and transition of a STOVL fighter conceptThe most-reprinted book on the subject
  4. Read the landmark paper: Exponential Stability With RISE ControllersCited 42 times
  5. Go sideways: Wassim Michael HaddadA closely related topic
  6. Go sideways: Control-Lyapunov functionA closely related topic

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