Numerical Operations with Polynomial Matrices

The purpose of this monograph is to describe a class of com-
putational methods, based on polynomial matrices, for the
design of dynamic compensators for linear multi-variable
control systems. The design of the compensator, which may be
either analogue or digital, is based on pole assignment. A
matrix fraction description, which employs polynomial matri-
ces, is used to represent the system. The design comptuta-
tion, however, employs matrices of real numbers rather than
polynomial matrices. This simplifies the computational pro-
cedures which can thus be implementedin commercially-avai-
lable software packages. Both transient and steady-state
performace specifications are included in the design proce-
dure which is illustrated by four detailed examples.
The monograph should be of interest to research workers and
engineers in the field fo multi-variable control. For the
former it provides some new computational tools for the ap-
plication of algebraic methods, for both groups it introdu-
ces some new ideas for a more-direct approach to compensator
design.