Input Utput Compatibility of Reactive Systems* Josep Carmona1 Lsi Upc Form

Instructions and help about Input Utput Compatibility Of Reactive Systems* Josep Carmona1 Lsi Upc

uh we learned that there are two important problems of exact linearization that is a full State linearization and input output linearization we have already talked about full State linearization uh the case when a relative degree is equal to n that is particularly important and we see that if we have this non-linear system with relative degree to be equal to n then for the purpose of full state linearization we had defined this state transformation diffumorphism uh which converted this non-linear system into this normal form and we are AC BC and CC these are given by these matrices and then after uh using appropriate controller we converted this non-linear system into this particular form so what we see is that it this system is both full State linearized as well as input output linearize all the state equations are linear State equations and furthermore relationship between newly defined input variable V and the output variable this relation is a linear relation you can even find a tr