Singular perturbation-based saturated adaptive control for underactuated Euler-Lagrange systems

This paper proposes a saturated smooth adaptive controller for regulating a certain type of underactuated Euler-Lagrange systems (UELSs) with modeling uncertainties and control saturations based on a singular perturbation approach. Compared with relevent literature, the advantages of the proposed controller include: (1) it renders the UELS semiglobally asymptotically track the desired position without the violation of control input constraints; (2) high-order derivatives of positions are not required in its implementation. The Hoppensteadt's Theorem is employed to show that the proposed saturated controller renders the UELS semiglobally asymptotically stable about the desired set point with the satisfaction of control input constraints. The control effectiveness is validated by simulations on a two-link compliant robot arm. (C) 2021 ISA. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper proposes a saturated smooth adaptive controller for regulating a certain type of underactuated Euler-Lagrange systems with modeling uncertainties and control saturations. The controller can semiglobally asymptotically track the desired position without violating control input constraints, and does not require high-order derivatives of positions in its implementation. The control effectiveness is validated through simulations on a two-link compliant robot arm.