Rank Minimization in Networked Control Systems: A Brief Survey

Abstract

Rank minimization is a fundamental optimization framework that underlies many modern control design problems including model reduction, sensor and actuator placement, and distributed controller design. This survey consolidates classical results and recent advances, with a special focus on their applications to networked control systems (NCS) where communication constraints, delays, and topology play a critical role. We review problem formulations, mathematical background, various applications, solution strategies, computational tools, and finally, illustrate the concepts through representative examples.