Numerical Operations with Polynomial Matrices: Application to Multi-Variable Dynamic Compensator Design

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The purpose of this monograph is to describe a class of computational 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 employes polynomial matrices, is used to represent the system. The design computation, however, employes matrices of real numbers rather than polynomial matrices. This simplifies the computational procedures which can be implemented in commercially-available software packages. Both transient and steady-state performance specifications are included in the design procedure which is illustrated by four detailed examples. The monograph should be of interest to research workers and engineers in the field of multi-variable control. For the former it provides some new computational tools for the application of algebraic methods, and for each group it introduces some new ideas for a more direct approach to compensator design.