Picture map of Europe with pins indicating European capital cities

Open Access research with a European policy impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the European Policies Research Centre (EPRC).

EPRC is a leading institute in Europe for comparative research on public policy, with a particular focus on regional development policies. Spanning 30 European countries, EPRC research programmes have a strong emphasis on applied research and knowledge exchange, including the provision of policy advice to EU institutions and national and sub-national government authorities throughout Europe.

Explore research outputs by the European Policies Research Centre...

End-point control of a flexible-link manipulator using state-dependent Riccati equation technique

Shawky, A. and Petropoulakis, L. and Ordys, A.W. and Grimble, M.J. (2002) End-point control of a flexible-link manipulator using state-dependent Riccati equation technique. Archives of Control Sciences, 12 (3). pp. 191-207. ISSN 0004-072X

[img]
Preview
PDF (strathprints007050.pdf)
strathprints007050.pdf - Accepted Author Manuscript

Download (614kB) | Preview

Abstract

The problem of modeling and controlling the tip position of a one-link flexible manipulator is considered. The paper discusses the control strategy based on the nonlinear state Dependent Ricatti Equation (SDRE) design method in the context of application to robotics and manufacturing systems. Lagrangian Mechanics and the Assumed Mode Method have been used to derive a proposed dynamic model of a single-link flexible manipulator having a revolute joint. The model may be used in general to investigate the motion of the manipulator in the horizontal plane rest-to-rest rotational maneuver. The nonlinear SDRE control law is derived as minimizing a quadratic cost function that penalizes the states and the control input torques. Simulation results are presented for a single-link flexible manipulator to achieve a desired angular rotation of the link while simultaneously suppressing structural vibrations, and the effect of payload on the system response and vibration frequencies is investigated. The results are illustrated by a numerical example.