Design Synthesis and Biological Evaluation of 1 2 Distributed Benzimidazole Derivatives

Abstract

newline Model order reduction techniques are used to reduce the order of the system are one of the very challenging area of control system. The mathematical models of high order dynamic systems can be described either in state space form or in transfer function form which are also called time domain and frequency domain representations. In the state space representation a physical system is represented by set of first order differential equations. Similarly in the transfer function representation a physical system is represented as a rational function. newlineMany physical systems are translated into mathematical model through higher order differential equations. It is usually recommended to reduce the order of the model retaining the dominant behavior of the original system. This will help to make better understanding of the physical system, reduce computational complexity, reduce hardware complexity and simplifies the controller design. The proposed research works deals with the methods of approximating the transfer function of high order system by one of lower order system. newlineMixed methods of model order reduction are proposed in frequency domain to reduce the higher order system into various lower order models. In mixed methods , the denominator of the reduced order model is obtained by one of the stability based reduction methods such as and then the numerator of the reduced model is obtained by Pade approximation, Factor division method etc. The method preserves steady state value and stability of original system in the reduced order models for stable systems. The response of reduced order model obtained is compared on the basis of unit step response and frequency response. Also some of these methods are extended for order reduction of multi input and multi output system and discrete time system. newlineThe controller has been designed on the basis of approximate model matching, based on direct and indirect approaches, using the conventional method.