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arXiv · 2603.08307

Adaptive Tracking Control of Euler-Lagrange Systems with Time-Varying State and Input Constraints

Poulomee Ghosh·Shubhendu Bhasin
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Abstract

This paper presents an adaptive control framework for Euler-Lagrange (E-L) systems that enforces user-defined time-varying state and input constraints in the presence of parametric uncertainties and bounded disturbances. The proposed design integrates a time-varying barrier Lyapunov Function (TVBLF) with a saturated control law to guarantee constraint satisfaction without resorting to real-time optimization. A key contribution is the development of an offline, verifiable feasibility condition that certifies the existence of a feasible control policy for any prescribed pair of time-varying state and input envelopes. Additionally, we prove boundedness of all closed-loop signals. Real-time experiments conducted on a 2-DoF helicopter model validate the efficacy and practical viability of the proposed method.

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Poulomee Ghosh, Shubhendu Bhasin. 2026-03-09. Adaptive Tracking Control of Euler-Lagrange Systems with Time-Varying State and Input Constraints. https://arxiv.org/abs/2603.08307

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