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integral-action-design

Adding integral action to MPC for offset-free tension tracking.

Install / Use

npx skills add benchflow-ai/skillsbench --skill integral-action-design

Installs into whichever agent you are using.

About this skill
📄

SKILL.md

Installable skill definition

Quality Score

71/100

Supported Platforms

Universal

Our assessment of integral-action-design

integral-action-design scores 71/100 on our quality scale, 3204th of 4,140 Development & Engineering skills we index.

Its SKILL.md is 1.1 KB long, split into 6 sections with 3 code examples: fairly brief, so expect to fill in details yourself.

With 1,813 GitHub stars, it is one of the more widely adopted skills in the catalogue.

Substance
14/30
Structure
16/20
Description
12/15
Adoption
14/20
Freshness
15/15

Maintenance, license and trust

  • The repository was last updated about 2 months ago, so integral-action-design is actively maintained.
  • It is released under the Apache-2.0 license, a permissive license that allows use, modification and commercial use with attribution.
  • Its trust signals score 100/100, with no cautions. These come from repository metadata, not a code audit — read the skill file before letting an agent act on it.

integral-action-design compared with similar skills

All 4 of these similar skills score higher than integral-action-design; compare them before choosing.

SkillScoreStarsUpdatedFormat
integral-action-design (this skill)by benchflow-ai711.8k2mo agoSKILL.md
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claude-howtoby luongnv8910041.7ktodayCLAUDE.md

Frequently asked questions

How do I install integral-action-design?
Run npx skills add benchflow-ai/skillsbench --skill integral-action-design. The install tabs above show the steps for each supported agent.
Which AI agents does integral-action-design work with?
It is written for Universal, as a SKILL.md file. Other agents that read the same format can often use it too.
Is integral-action-design safe to use?
It is Apache-2.0-licensed and scores 100/100 on trust signals. Skills are instructions an agent will follow, so read the file before installing it and do not approve commands you do not understand.
Is integral-action-design still maintained?
The repository was last updated about 2 months ago, so integral-action-design is actively maintained.

name: integral-action-design description: Adding integral action to MPC for offset-free tension tracking.

Integral Action for Offset-Free Control

Why Integral Action?

MPC with model mismatch may have steady-state error. Integral action eliminates offset by accumulating error over time.

Implementation

u_I = gamma * u_I - c_I * dt * (T - T_ref)
u_total = u_mpc + u_I

Where:

  • u_I: Integral control term
  • gamma: Decay factor (0.9-0.99)
  • c_I: Integral gain (0.1-0.5 for web systems)
  • dt: Timestep

Tuning Guidelines

Integral gain c_I:

  • Too low: Slow offset correction
  • Too high: Oscillations, instability
  • Start with 0.1-0.3

Decay factor gamma:

  • gamma = 1.0: Pure integral (may wind up)
  • gamma < 1.0: Leaky integrator (safer)
  • Typical: 0.9-0.99

Anti-Windup

Limit integral term to prevent windup during saturation:

u_I = np.clip(u_I, -max_integral, max_integral)

For R2R Systems

Apply integral action per tension section:

for i in range(num_sections):
    u_I[i] = gamma * u_I[i] - c_I * dt * (T[i] - T_ref[i])

Related Skills

View on GitHub
GitHub Stars1.8k
CategoryDevelopment
Updated2mo ago
Forks368

Languages

PDDL

Trust signals

100/100

From repository metadata: license, adoption, age and documentation. Not a code audit — see the Safety scan above for what the skill file itself contains.

No cautions