Design of state feedback for large-scale multivariable systems

This note presents a general method which reduces the computational requirements in the state feedback design of large-scale multivariable systems. The given system is first transformed into a general block canonical form by using simple equivalent transformation. The state feedback problem is then reformulated in terms of a Sylvester equation. Finally, the transformed system matrices along with certain assumed block forms for unknown matrices enable the Sylvester equation to be decomposed and solved effectively.