Dynamic modelling and parameter estimation of a hydraulic robot manipulator using a multi-objective genetic algorithm

ABSTRACT

This paper concerns the problem of dynamic modelling and parameter estimation for a seven degree of freedom hydraulic manipulator. The laboratory example is a dual–manipulator mobile robotic platform used for research into nuclear decommissioning. In contrast to earlier control model-orientated research using the same machine, the paper develops a nonlinear, mechanistic simulation model that can subsequently be used to investigate physically meaningful disturbances. The second contribution is to optimise the parameters of the new model, i.e. to determine reliable estimates of the physical parameters of a complex robotic arm which are not known in advance. To address the nonlinear and non-convex nature of the problem, the research relies on the multi-objectivisation of an output error single-performance index. The developed algorithm utilises a multi-objective genetic algorithm (GA) in order to find a proper solution. The performance of the model and the GA is evaluated using both simulated (i.e. with a known set of ‘true’ parameters) and experimental data. Both simulation and experimental results show that multi-objectivisation has improved convergence of the estimated parameters compared to the single-objective output error problem formulation. This is achieved by integrating the validation phase inside the algorithm implicitly and exploiting the inherent structure of the multi-objective GA for this specific system identification problem.

KEYWORDS:

• Parameter estimation
• system identification
• nonlinear model
• multi-objective genetic algorithm
• hydraulic manipulator

Acknowledgements

The authors are grateful for the support of the National Nuclear Laboratory (NNL) and the Nuclear Decommissioning Authority (NDA).

Disclosure statement

No potential conflict of interest was reported by the authors.