ABSTRACT
Multidimensional systems, spatially distributed parameter systems and systems with time delays are typical examples of infinite dimensional systems. In some applications, information flow requires significant amounts of time delay due to physical distance between the process and the controller. There may also be time delays within the process, or the controller itself (e.g., when the controller is very complicated, computations may take a relatively long time introducing computational time delays). Linear models are sometimes obtained by linearizing nonlinear differential equations around an operating point. Another way to obtain a linear model from a nonlinear system equation is feedback linearization. During the process of deriving a mathematical model for the plant, usually a series of assumptions and simplifications are made. The ultimate purpose of system identification is to derive a nominal plant model and a bound for the uncertainty. The main reason to use feedback is to reduce the effect of “uncertainty.”.
