The phrase "a process of undertaking" is correct and usable in written English.
It can be used when describing a method or series of actions involved in taking on a task or project.
Example: "The project involves a process of undertaking various stages of development to ensure its success."
Alternatives: "a method of engaging" or "a procedure for taking on".
We are in the process of undertaking a thorough environmental impact assessment and have been consulting with consultees to ensure their concerns are fully taken into account".
The paper attempts to cover the full process of undertaking a choice experiment, including survey and experimental design, econometric analysis of choice data and welfare analysis.
Having finished my PhD work, I'm now in the process of undertaking a second project at the Institute of Plant Nutrition and Soil Science at FAL, working on heavy metal contamination of synthetic and organic fertilisers.
The New South Wales Health and Equity Statement from 2004 called for the development of "a process for undertaking Rapid Health Impact Appraisals within NSW Health to identify the health impact of existing and new policies" [ 54].
Concurrent engineering is the term given to the process of undertaking all of the design process activities at the same time rather than sequentially.
It was also found that the process of undertaking the simulation project initiated useful discussions regarding the operation of the facility.
Enlightenment is the process of undertaking to think for oneself, to employ and rely on one's own intellectual capacities in determining what to believe and how to act.
The paper also makes connections between the process of undertaking the research (designed to offer opportunities for inexperienced researchers to be involved) and the main project findings (which explored the ways in which academic schools develop research capacity).
On-going linkage refers to the process of undertaking routine, continuous linkage of (changing) datasets over time.
