Presentacion Sistemas de primer Orden
Maria Alejandra Bareño Ariza
Created on May 14, 2023
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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