EL ENG 127 Midterm: ee128-fa2003-mt1-Hsu-exam

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One of the equilibrium states is the origin (i. e. , all state variables are zero). 2 q y p q u (2) consider the following unity feedback system. r(s) G(s) y(s) (2. a) give a necessary and sufficient condition on c(s) and/or g(s) such that the system is of type k (an integer) with respect to the input r(s). (10%) (2. a) consider the following statement. If you agree with this statement, prove it. If not, explain why the statement is not true. (10%) 1 s(s+2) y(s) (4) sketchy the root locus for the following system. Determine all features of the root locus that apply to this particular system. Base on the root locus, find a positive value of k (if such a value exist) such that the system is stable. (20%) r(s) K s2 (s2+1)(s+1) y(s) (5) plot the nyquist plot of the following system.