Title :
Parameterization of the class of deadbeat controllers via the theory of decoupling
Author :
Amin, M.H. ; Elabdalla, A.M.
Author_Institution :
Dept. of Electr. Eng., Jordan Univ. of Sci. & Technol., Irbid, Jordan
Abstract :
A novel approach is presented for parameterizing the class of minimum-time deadbeat controllers (MTDC) through the minimum number of parameters. The approach is based on the theory of decoupling and the properties of square decouplable systems. The main result is a compact parametric form for the class of MTDC of a discrete-time system. Contrary to many existing techniques, no special assumption on the invertibility of the transition matrix is required.<>
Keywords :
control system analysis; discrete time systems; matrix algebra; compact parametric form; decoupling; discrete-time system; minimum-time deadbeat controllers; transition matrix; Control systems; Controllability; Eigenvalues and eigenfunctions; Feedback control; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on