Agent skill

Integral Action Design

by benchflow-ai in benchflow-ai/skillsbench

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

Apache-2.0Auto-check passed

Install Integral Action Design

skills CLI
$ npx skills add benchflow-ai/skillsbench --skill integral-action-design -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install benchflow-ai/skillsbench integral-action-design --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/benchflow-ai/skillsbench.git skills-src && mkdir -p .claude/skills && cp -r skills-src/tasks/r2r-mpc-control/environment/skills/integral-action-design .claude/skills/integral-action-design && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
integral-action-design
GitHub stars
1.8k
Token cost
~276 tokens
SKILL.md length
96 words
Files
1
Skills in repo
189
Repo updated
First seen
Licence
Apache-2.0

At a glance

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

  • SKILL.md covers Why Integral Action?, Implementation, Tuning Guidelines and Anti-Windup, plus 1 more section
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Integral Action Design is an agent skill from benchflow-ai/skillsbench. Adding integral action to MPC for offset-free tension tracking.

Its SKILL.md is about 280 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

The repository describes itself as: SkillsBench evaluates how well skills work and how effective agents are at using them. The licence is Apache-2.0.

Example prompts

  • “/integral-action-design”

Requirements

  • Python 3

What it can do on your machine

Read from SKILL.md and the folder at commit 9a1f4dd. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    No scripts in the folder and no shell commands in SKILL.md (its code samples are python).

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Integral Action Design loads about 276 tokens when it runs. Until then it costs about 22 tokens; SKILL.md has 96 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~22
When it runs · the whole SKILL.md, loaded when a task matches
~276

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from benchflow-ai/skillsbench at commit 9a1f4dd, republished under its Apache-2.0 licence (© benchflow-ai). 96 words, ~276 tokens.

Download SKILL.mdSave it as .claude/skills/integral-action-design/SKILL.md (or your agent's skills folder).
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

python
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:

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

For R2R Systems

Apply integral action per tension section:

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

© benchflow-ai, Apache-2.0. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in tasks/r2r-mpc-control/environment/skills/integral-action-design of benchflow-ai/skillsbench.

Open the folder on GitHubat commit 9a1f4dd

Compare with similar skills

Integral Action Design next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Integral Action Design compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Integral Action Design this skillbenchflow-ai/skillsbench1.8k—~276Automated safety check: PassApache-2.0
Integrating Sast Into GitHub Actions Pipelinemukul975/Anthropic-Cybersecurity-Skills34k—~3.1kAutomated safety check: PassApache-2.0
Integration Testingthedaviddias/Front-End-Checklist74k—~514Automated safety check: PassMIT
ActionsBuilderIO/agent-native7.1k—~4.4kAutomated safety check: PassNone
ActionsJetBrains/intellij-community21k—~341Automated safety check: PassCustom licence
API Integrationsickn33/agentic-awesome-skills47k1 repos~1.3kAutomated safety check: PassMIT

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Questions about Integral Action Design

What does Integral Action Design do?

Adding integral action to MPC for offset-free tension tracking. Integral Action Design is an agent skill from benchflow-ai/skillsbench. Adding integral action to MPC for offset-free tension tracking.

How do I install Integral Action Design in Claude Code?

Run `npx skills add benchflow-ai/skillsbench --skill integral-action-design -a claude-code`. Or copy the skill folder (tasks/r2r-mpc-control/environment/skills/integral-action-design in benchflow-ai/skillsbench) into .claude/skills/integral-action-design in your project. Claude Code loads it when a task matches its description.

How do I install Integral Action Design in Codex?

Run `npx skills add benchflow-ai/skillsbench --skill integral-action-design -a codex`. Or copy the skill folder (tasks/r2r-mpc-control/environment/skills/integral-action-design in benchflow-ai/skillsbench) into .agents/skills/integral-action-design in your project. Codex loads it when a task matches its description.

Can I use Integral Action Design in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add benchflow-ai/skillsbench --skill integral-action-design -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/integral-action-design, .gemini/skills/integral-action-design, .github/skills/integral-action-design and .opencode/skills/integral-action-design in your project.

What does Integral Action Design need to run?

SKILL.md names no scripts, command-line tools or credentials: Integral Action Design is instructions for the agent only. Our summary lists: Python 3.

Does Integral Action Design access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Integral Action Design safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Integral Action Design use?

Integral Action Design is published under the Apache-2.0 licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Integral Action Design use?

About 276 tokens (SKILL.md is roughly 1.1k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Integral Action Design?

Skills that share tags, products or a category with Integral Action Design: Integrating Sast Into GitHub Actions Pipeline (mukul975/Anthropic-Cybersecurity-Skills, 34k stars), Integration Testing (thedaviddias/Front-End-Checklist, 74k stars), Actions (BuilderIO/agent-native, 7.1k stars) and Actions (JetBrains/intellij-community, 21k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Integral Action Design?

benchflow-ai (a GitHub organization) maintains it in benchflow-ai/skillsbench, which has 1,834 GitHub stars. The repository holds 189 skills in this directory. The repository was last updated on July 23, 2026.

Source: benchflow-ai/skillsbench on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.