LLMs-guided adaptive compensator: Bringing Adaptivity to Automatic Control Systems with Large Language Models

TL;DR

This paper introduces an LLM-guided adaptive compensator framework for automatic control, demonstrating improved performance and reasoning capabilities in robotic systems through real-world experiments and theoretical analysis.

Contribution

The work presents a novel LLM-guided adaptive compensator framework inspired by MRAC, enabling structured controller design and enhanced adaptivity in complex robotic systems.

Findings

Outperforms traditional adaptive controllers in experiments

Reduces reasoning complexity compared to LLM-guided adaptive controller

Demonstrates strong generalizability, robustness, and practical deployability

Abstract

With rapid advances in code generation, reasoning, and problem-solving, Large Language Models (LLMs) are increasingly applied in robotics. Most existing work focuses on high-level tasks such as task decomposition. A few studies have explored the use of LLMs in feedback controller design; however, these efforts are restricted to overly simplified systems, fixed-structure gain tuning, and lack real-world validation. To further investigate LLMs in automatic control, this work targets a key subfield: adaptive control. Inspired by the framework of model reference adaptive control (MRAC), we propose an LLM-guided adaptive compensator framework that avoids designing controllers from scratch. Instead, the LLMs are prompted using the discrepancies between an unknown system and a reference system to design a compensator that aligns the response of the unknown system with that of the reference, thereby achieving adaptivity. Experiments evaluate five methods: LLM-guided adaptive compensator, LLM-guided adaptive controller, indirect adaptive control, learning-based adaptive control, and MRAC, on soft and humanoid robots in both simulated and real-world environments. Results show that the LLM-guided adaptive compensator outperforms traditional adaptive controllers and significantly reduces reasoning complexity compared to the LLM-guided adaptive controller. The Lyapunov-based analysis and reasoning-path inspection demonstrate that the LLM-guided adaptive compensator enables a more structured design process by transforming mathematical derivation into a reasoning task, while exhibiting strong generalizability, adaptability, and robustness. This study opens a new direction for applying LLMs in the field of automatic control, offering greater deployability and practicality compared to vision-language models.