State feedback control with optimized mode decoupling

The general problem of assigning the system matrix eigenstructure using the state feedback control is considered in this paper. With modifications of the standard algorithms for pole assignment based on singular value decomposition the exposition of the problem is generalized here to handle a specified structure of the right eigenvector set in state feedback control design for MIMO linear systems. Extra freedom, which makes dependent the closed-loop eigenvalues spectrum, is used for closed-loop state variables mode decoupling. The integrated procedure provides a straightforward methodology usable in linear control system design techniques when the memory-free controller in the state-space control structures takes the standard form.