Title :
Feedback stabilization of MIMO nD linear systems
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
fDate :
12/1/2000 12:00:00 AM
Abstract :
The open problem of the existence of double coprime factorizations (DCFs) for multi-input/multi-output (MIMO) multidimensional (nD) linear systems is considered in the paper. It is shown that DCFs exist for a class of MIMO nD linear systems. A simple and efficient method is proposed for the construction of DCFs. The main result of the paper is to show how to construct a coprime (over the ring of stable rational functions) matrix fraction description of a given MIMO nD system with a stable reduced minor. A parameterization of all stabilizing compensators is given for a MIMO nD system in this class. An example is illustrated
Keywords :
MIMO systems; compensation; feedback; linear systems; matrix algebra; multidimensional systems; stability; MIMO nD linear systems; coprime matrix fraction description; double coprime factorizations; feedback stabilization; multi-input/multi-output multidimensional linear systems; stabilizing compensators; stable reduced minor; Control systems; Linear feedback control systems; Linear systems; MIMO; Multidimensional systems; Neodymium; Output feedback; Region 2; Stability; Two dimensional displays;
Journal_Title :
Automatic Control, IEEE Transactions on
