First and Second Order-Like Structures in Linear Multi-Variable-Control-Systems-Design

With the philosophy that many physical multi-variable systems can, for the purposes of control systems design, be approximated by much simpler forms and that the analysis of such models can provide valuable insight into the time and frequency domain characteristics of the system, the paper provides an analysis of two types of multi-variable structure and derives closed-form solutions for proportional and proportional plus integral feedback controllers. The structures considered are shown to be direct multi-variable generalizations of the classical first order lag and the classical unity rank, minimum phase, over-damped second order system.