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The higher-order system reduces into a lower-order system by using model order reduction techniques, it is a very challenging field of the control system. The high order dynamic system has represented in mathematical models, and it characterizes either in state-space form or transfer function form. It is known as time domain and frequency domain representations. A physical system is denoted by a set of first-order differential equations in the state space representation. As same physical systems transfer function as a rational function. By using higher-order differential equations the physical systems are converted into the mathematical model. It is generally presented to reduce the order of the model holding the dominant behavior of the original system. This will improve comprehension of the physical system, decrease computational intricacy, hardware complexity decrease and disentangles the controller design. The proposed research work manages the techniques for approximating the transfer function of the high order system by one of the lower order systems. The reduced-order controller has been applied to the original higher-order system.