Certain investigation on reduced order model and controller design using optimization techniques

Abstract

The complexity of physical systems makes precise analysis difficult newlineand probably undesirable. The primary step is to model a transfer function for newlinea complex system. A mathematical model of a higher order system is newlineacceptable because the examination of the system was described by analysis. newlineThe examination of such a high-order system is not only time-consuming, but newlinealso inefficient for on-line implementation. Modelling a system is an newlineimportant challenge in regulating engineering to construct a complex system newlinefor both simulation and control system synthesis, it is necessary to simplify newlinemodels of complex processes. Numerous reduction order has been proposed newlinein most recent decades for higher order transfer function or higher order state newlinespace system of linear time invariant Multiple Input Multiple Output system newlineand Single Input Single Output system, frequency domain reduction methods newlineor time domain reduction methods are mostly applied to the system model. newlineBoth methods are used in a particular circumstance and it has own merits and newlinedemerits, one approach can yield a model that closely resembles lowfrequency newlinebehaviour. While other approaches produce quite similar responses newlineto impulse or step input. The choice of technique depends on particular newlineapplication being handled in the domain. The methods are used in reducing newlinehigher order systems to lower order system all features to meet at least exact newlinesystem model like stability analysis, time characteristics, frequency newlinecharacteristics and matching with all types of test input signals newline