I recently graduated from PhD and right now I am working in a consulting company. My manager asked me to write a proposal to get public funding to do research. The topic is computer science and semiconductor industry. Since the company is located in Germany, I can apply for funding institutes in Germany and Europe. However, I have difficulty in finding funding institutes to support research in the industrial section. So, I am looking forward for your suggestions and help.
In the US through our National Science Foundation, you'd need to partner with a university who would, at least in name, lead the project. All NSF programs have eligibility requirements, and those don't usually include private non-educational entities as leads. Also, you'd need to openly publish your results. In the end, due to the Bayh-Dole Act, the university probably has the right to patent and license for sale the results, but your company would probably not be able to do so itself.
I assume that the EU and Germany have similar constraints on government grant funding, but I'm not 100% sure. It would be worth looking at some prior EU and German grants and see if they do.
You could also look at trying to satisfy government contracts in the defense industry. There are whole multi-billion dollar defense contractors in the US (Raytheon, Lockheed-Martin, etc.) that do research on behalf of the military here to deliver much more than guns and planes and such. The government frequently wants algorithms (e.g., weather prediction, signal processing), etc. to satisfy our defense needs. I suspect that yours do, too.