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Presented by:
Hector Jose Puentes Ruiz
Maria Alejandra Bareño Ariza
Maria Paula Satizabal Siatama
First Order
Systems
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Presented by:Hector Jose Puentes RuizMaria Alejandra Bareño ArizaMaria Paula Satizabal Siatama

First OrderSystems

You have a first order system when the D.E that represents the in/out relation in a system is of first order.Those. can be used as a mathematical and simple representation of a real system, as instrumentation, and control.

What is a first order System?

The transfer fuction is caracterized by the follow items:H(s)-> Output a(s)-> InputK-> Static Gaint->Time ConstantDeltha-> System delay

Transfer Function

Response
1) First Order System whith input step signal

responses of a first-order system

Polo
State Gain(K)
Response

Ts = 3 tabo

2) First Order System whith input ramp signal

Response

2) First Order System whith input pulse signal

1) First Order System without Zero (Classical)2) First order system with null zero or filtered derivative3) First order system with non-zero zero

CLASSIFICATION OF FIRST ORDER SYSTEMS

* The system has only its static gain in the numerator of the transfer function * It has a time constant (tao)*If tao is positive the system is stable and if tao is negative, the system is unstable.

1) First Order System without Zero (Classical)

* This system has a root in the numerator located at the origin of the complex plane S (It has a NULL zero )*The response in the steady state will be set to zero if the system is stable. * by having the same order in numerator and denominator are known in control theory as bipropios systems *This system has an instantaneous behavior

2) first order system with null zero or filtered derivator

* It has a zero located at a position different from the origin. * The addition of the zero accelerates the response of the system*If the zero parameter (T) is very large then the instantaneous response (initial condition) will be larger and the other way around.

3) first order system with non-zero zero

Ogata, K. (1998). Ingeniería de Control Moderna. Pearson-Prentice Hall.Sergio, C. (2019, October 3). Los sistemas de primer orden son un tema clave en la ingeniería Read more. Control Automático Educación. https://controlautomaticoeducacion.com/control-realimentado/sistemas-dinamicos-de-primer-orden/

BIBLIOGRAFÍA

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