= (State equations for interconnections of linear systems) Let Hi(s), i 1, 2, be two transfer...

   

  

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= (State equations for interconnections of linear systems) Let Hi(s), i 1, 2, be two transfer function matrices with state-space realizations (A₁, B₁, C₁, Di), i = 1,2, respectively. Suppose the dimensions of H₁(s) are such that all the expressions in the following are well defined. U B₁ D₁ S A₁ x1 C₁ B2 D2 Ⓒ S A2 X2 C₂ Negative feedback: Draw a block diagram of the system with transfer function Hfeedback = H1(s)(I + H₂(s)H₁(s))-¹, which consists of the negative feedback connection of the two subsystems, with H₁(s) in the feed forward path, and H₂(s) in the feedback path. Find a state-space realization (A, B, C, D) for H(s). = (State equations for interconnections of linear systems) Let Hi(s), i 1, 2, be two transfer function matrices with state-space realizations (A₁, B₁, C₁, Di), i = 1,2, respectively. Suppose the dimensions of H₁(s) are such that all the expressions in the following are well defined. U B₁ D₁ S A₁ x1 C₁ B2 D2 Ⓒ S A2 X2 C₂ Negative feedback: Draw a block diagram of the system with transfer function Hfeedback = H1(s)(I + H₂(s)H₁(s))-¹, which consists of the negative feedback connection of the two subsystems, with H₁(s) in the feed forward path, and H₂(s) in the feedback path. Find a state-space realization (A, B, C, D) for H(s).

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To establish the state equations for the interconnection of two linear systems represented by the tr... View the full answer