A two-input two-output system has the transfer matrix function 2 2 S+2 G(s) = 3 S+1 S+2 S (a) [4 marks] What are the pol

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A Two Input Two Output System Has The Transfer Matrix Function 2 2 S 2 G S 3 S 1 S 2 S A 4 Marks What Are The Pol 1 (28.12 KiB) Viewed 31 times

A two-input two-output system has the transfer matrix function 2 2 S+2 G(s) = 3 S+1 S+2 S (a) [4 marks] What are the poles of the system? Is the system BIBO stable? (b) [2 marks] What are the zeros of the system? Is the system minimum phase? (c) [6 marks] Find a state space realisation of the system. (d) [6 marks] Assuming a zero order hold at the input of the plant, obtain a state space discrete model x[k + 1] = Adx[k] + B₁u[k] (1) y[k] = Cax[k] + Dau[k] valid for every sampling time T > 0, and such that the discretised state exactly matches the continuous-time state at the sampling instants. (e) [6 marks] Design a discrete-time state feedback law u[k] = -Kx[k] to stabilise the system (1) with dead-beat closed-loop response. SIN