A numerical method for deadbeat control of generalized state-space systems

Abstract In this paper we give a new numerical method for constructing a rank m correction BF to an n × n matrix A , such that the generalized eigenvalues of λE−(A+BF) are all at λ = 0 . In the control literature, this problem is known as ‘deadbeat control’ of a generalized state-space system Ex i+1 = Ax i + Bu i , whereby the matrix F is the ‘feedback matrix’ to be constructed.