The phrase "a rigid system of" is correct and usable in written English.
It can be used to describe a structured and inflexible framework or set of rules governing a particular process or organization.
Example: "The company implemented a rigid system of policies that left little room for employee creativity."
Alternatives: "a strict framework of" or "an inflexible structure of".
But they enforced a rigid system of criminal justice in the name of maintaining social order.
In trying to provide much-needed structure, it puts into effect a rigid system of meaningless rules that appear designed to force some children to fail.
He installed a rigid system of cross-checking bureaucracies, surveillance, personnel control and encouraged competition pitting groups against each other for his attention.
He fired the top officers at SAC and instituted a rigid system of rules and procedures, checklists and practice runs, and turned SAC into a model of efficiency.
A distinction was made between complete, half, and lesser portions of evidence, evading the problem posed by such a rigid system of evaluation.
But he said cigarette smuggling could be avoided if Congress enacted a rigid system of licensing tobacco wholesalers, exporters, importers and distributors.
Besides, proper infrastructure costs need to be taken into consideration to build a rigid system capable of withstanding cyclonic weather conditions and storm surges to avoid excess expenditures for the repair of damaged systems.
James Griffiths, author of The Great Firewall of China, explains how the Chinese authorities have managed to impose a very rigid system of censorship while still having a thriving web culture and some extremely powerful social media firms.
Indeed, some argued that the United States ended up with a more rigid system of tracking than any other country.
The obtained results indicated that application of a rigid system would have the best performance.
Given previously he had tinkered with his system to meet the demands of football's changes, perhaps not, for here it was the notion of a rigid system itself that had come into question.
