Criterio de Routh Hurwitz 🏅 [Estabilidad] #01

The Routh Hurwitz stability criterion allows us to know how many poles of our transfer function can be located in the right half plane, causing the system to be unstable. Determining the stability of systems is of utmost importance in control theory and the Routh array is one of the most widespread methods for determining the stability of such systems. _________________________________________ 🍂 Video Information: https://bit.ly/2Ydd1uQ 🍂 Special Case 1: https://bit.ly/3pg0Xos 🍂 Special Case 2: https://bit.ly/36aKdrg 🍂 Routh-Hurwitz Applied: https://bit.ly/39hWiMU _________________________________________ The Routh Hurwitz criterion is used to have a necessary and sufficient condition on the stability of a linear system that is invariant in time. This method was proposed by Edward John Routh in 1876, but in 1895 the German Adolf Hurwitz proposed independently to be able to structure the coefficients of the characteristic equation in a square matrix. It is important to note that both procedures are equivalent. 📚 Bibliography ➣ Modern Control Engineering. Katsuhiko Ogata. Editorial Prentice Hall. ➣ Norman S. Nise - Control Systems Engineering, Wiley, 2015 ⏱ TIMESMARKS ⏱ 00:00 Routh-Hurwitz stability criterion 02:15 Systems Stability 04:45 Effect of Poles on Systems 06:55 The idea of ​​the Routh Stability Criterion 08:36 Characteristic Closed Loop Polynomial 09:26 Build the Routh-Hurwitz Arrangement 12:05 Determine the Unknowns of the Array 16:31 Verify System Stability 18:48 Example 1 25:45 Poles from Example 1 with Matlab 26:29 Example 2 30:18 Poles from Example 2 with Matlab 30:43 Video Challenges #RouthHurwitz #Stability #ControlSystems ★ FOLLOW ME ON MY OTHER NETWORKS ★ ►SIMULINK course: https://bit.ly/3a0W8Xr ►Web site: https://controlautomaticoeducacion.com/ ►Do you want benefits? https://bit.ly/2YvGEqK ►Instagram:   / sergio.castano.cae   ►Twitter:   / conautedu   ►Facebook:   / controlautomaticoeducacion