state space representation

Question 3. A control system has the transfer function Y(s) = 3(s + 3)(s + 4) 3s2 + 21s + 36 = R(s) (s + 1)(s +2)(s+ 5) s' +852+17s +10 (1) Draw the signal-flow graph state model in (a) phase variable canonical form (5 marks) (b) input feedforward canonical form (5 marks) (c) diagonal canonical form (5 marks) x(t) = Ax(t) + Br(t) (2) Find the state space representation for each canonical form y(t) = Cx(t) + Dr(t) in (1). (15 marks)The state space representation 5 1 0 -3 0 -20 0 y = [0 1 0]x is in which canonical form? O Observer canonical form O Control canonical form O This representation is not a canonical form7. ... (10 marks) (a) Briefly describe the learning procedures of regression tree. (4 marks) (b) If a classification tree has 10 layers, what is the potential problem of this tree for making predictions? How to alleviate that problem? (2 marks) (c) Briefly describe the learning procedures of random forest classifier and its principle of classification. (4 marks)