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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 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.
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